MATHEMATICAL LITERACY GRADE 10 12 REVISION MAUAL NW 2020 FINAL

2020 MATHEMATICAL LITERACY GRADE 10-12 TERM 1 REVISION MANUAL

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https://ultradeep.co.za Dear learner This manual was developed to ensure that all the topics that were taught and assessed in the first term are thoroughly mastered. The provincial coordinator together with the provincial subject advisors took their time to compile this manual, especially for you. The main reason for the development of this manual is to support you and to make sure that you master term 1 work which serves as the basis for term 2 and 3 work. Refer to you annual teaching plan as you answer questions to ensure that you respond to the once in your relevant grade. Once term 1 topics are thoroughly mastered, you will definitely be ready for you examinations. If you get stuck, kindly seek assistance from your peers and teachers through the relevant platforms. Remember that we are in this journey together. Always read your scenarios and all the given information with understanding. Respond to questions asked not what you think has been asked. We wish you all the best through you revision sessions. Have fun and enjoy our Mathematical Literacy as you study. Cheers! NORTH WEST PROVINCE Page 2 https://tvetpapers.co.za

https://ultradeep.co.za STANDARD INSTRUCTIONS AND INFORMATION 1. This question paper consists of a number of questions. Answer ALL the questions. 2. Use the ANNEXURE to answer questions. 3. Number the questions correctly according to the numbering system used in this question paper. 4. An approved calculator (non-programmable and non-graphical), may be used unless stated otherwise. 5. Show ALL calculations clearly. 6. Round off ALL final answers appropriately according to the given context, unless stated otherwise. 7. Indicate units of measurement, where applicable. 8. Start EACH question on a NEW page. 9. Diagrams are NOT drawn to scale, unless stated otherwise. 10. Write neatly and legibly. NORTH WEST PROVINCE Page 3 https://tvetpapers.co.za

https://ultradeep.co.za BASIC SKILLS TOPICS NUMBERS AND ROUNDING OFF 1. Write the following numbers in standard form and then in words: a) 23000 b) 2345678 910 c) 1200300 d) 1000000000000 2. Write the numbers for the given words: a) Nine hundred and eighty two million b) one trillion and twelve c) two billion three thousand and seventeen d) forty eight million, five hundred and sixty eight thousand and one 3. What do the following numbers mean? a) –R300 in your bank account b) R500 in your bank account c) –15ºC in Switzerland d) 22ºC in Cape Town 4. If an over in cricket is 6 balls, how many balls are there in: a) 4 overs? b) 10 overs? c) 50 overs? 5. If there are 8 mints in a roll of sweets, how many mints are there in: a) 3 rolls of sweets? b) 15 rolls of sweets? c) 50 rolls of sweets? 6. Choose the correct answer: a) The boy is (1,2 m / 1.2 m) tall. b) Answer question (3,3,2 / 3.3.2) only. 7. Round the following numbers off as indicated a) 2,134562 (to three decimal places) b) R 10 432 (to the nearest thousand) c) 34,3l (to the nearest 5 litres) d) 34,999 km (to two decimal places) e) 1,6667 (round up) f) 99, 563 (round down) NORTH WEST PROVINCE Page 4 https://tvetpapers.co.za

https://ultradeep.co.za PERCENTAGES Write percentages as decimals: 1. 20% (2) 2. 5% (2) 3. 120% (2) Calculate: 1. 20% of R3 600 (2) 2. 5% of 1 096 220 (2) 3. 120% of 950 litres (2) Decrease 1. R3 600 by 20% (2) 2. 1 096 220 by 45% (2) 3. 950 litres by 58% (2) Increase 1. R3 001 by 23% (2) 2. 1 096 872 000 by 15% (2) 3. 950 litres by 8% (2) More percentage calculations 1. In a school, 10 out of every 45 learners walk to school. Calculate the number of learners who walk to school as a percentage (to two decimal places). 2. At the beginning of high school your height was 1,09 cm and it increased by 20 cm during the course of the year. Calculate the percentage increase of your height (to three decimal places). 3. VAT in South Africa increased to 15% with effect from 1 April 2018. The following shows how the dealer calculated the new increased VAT incorrectly: Selling price, including 14% VAT = R160 087,72 + 14% of R160 087,72 = R160 087,72 + R22 412,28 = R182 500 VAT increased with 1%. New selling price, including 15% VAT = R182 500 + R182 500 × 1% = R182 500 + R1 825 = R184 325 Calculate the new selling price, including 15% VAT. (4) NORTH WEST PROVINCE Page 5 https://tvetpapers.co.za

https://ultradeep.co.za RATIO Mavis organised a birthday party for her daughter, Katlego. 15 boys and 18girls including her daughter attended a party. 1.1 Write down the simplified ratio of boys to girls. (2) 1.2 Mavis bought 99 party packs for children who attended a party. Katlego stated that the girls will get 9 party packs more than the boys. Verify with calculations whether her statement is true. (5) RATES 1.3 Mavis bought 6 kg of boerewors at 74,99 per kilogram. Calculate the amount she spent on the boerewors. (2) PERCENTAGES 1.4 The original price of Katlego`s dress was R379.She paid R285 after a discount. Calculate the percentage discount for the dress, rounded off to the nearest percentage. You may use the following formula: 𝑶𝒓𝒊𝒈𝒊𝒏𝒂𝒍 𝒑𝒓𝒊𝒄𝒆−𝑵𝒆𝒘 𝒑𝒓𝒊𝒄𝒆 % Discount = 𝑶𝒓𝒊𝒈𝒊𝒏𝒂𝒍 𝒑𝒓𝒊𝒄𝒆 × 100 (3) RATIO Sinqobile bought concentrated juice to mix juice for his classmates. The instruction on the label reads dilute in the ratio 1:5. 2.1 Explain what is meant by this dilution ratio. (2) 2.2 The diluted juice is served in glasses with a capacity of 200 mℓ. Determine how many full glasses of diluted juice can be poured from using 1 litre of concentrated juice. (4) NORTH WEST PROVINCE Page 6 https://tvetpapers.co.za

https://ultradeep.co.za PERCENTAGES Ami budgeted R125 000 for her wedding and ended up spending R66 450. 3.1 Express the total reception cost as a percentage of the total budgeted amount. (2) 3.2 Calculate the cost of the flowers and decorations if it is 1,8% of the total budgeted amount. (2) RATES MILO OPTION 1 PLASTIC SPOONS R97,95 per unit R12,75 for 1 unit = 1 kg 50 plastic spoons MILO OPTION 2 SUGAR R1 140,95 for R33,20 per unit 12 units × 1 kg 1 unit = 2,5 kg FOAM CUPS MILK R1,78 for R11,99 per unit 1 foam cup 1 unit = 1 ℓ [Adapted from www.makro.co.za] Use the information above to answer the questions that follow. 4.1 Determine the unit price when purchasing Milo option 2. (3) 4.2 Determine the total cost of 6 ℓ of milk. (2) 4.3 Susan decided to exclude the cost of water when calculating the cost price per cup of Milo. TABLE 1: Cost price of ONE cup of Milo. QUANTITY COST OF AMOUNT COST PER BOUGHT INGREDIENTS USED FOR CUP OF ONE CUP MILO 1 kg Milo R97,95 0,04 kg A 1 ℓ milk R11,99 B R1,20 2,5 kg sugar R33,20 0,01 kg R0,13 25 foam cups C ONE R1,78 50 spoons R12,75 ONE R0,26 TOTAL COST D 4.3.1 Calculate A, the cost of Milo per cup. (2) 4.3.2 Determine B, the amount of milk, in litres, used for ONE cup of Milo. (2) 4.3.3 Write down the value of C, the cost of 25 foam cups. (2) 4.3.4 Show that the cost of ONE cup of Milo, D, is R7,29. (2) 4.3.5 Determine Determine the selling price of ONE cup of Milo if Susan's intended profit margin is 25%. (4) NORTH WEST PROVINCE Page 7 https://tvetpapers.co.za

https://ultradeep.co.za RATIO The Department of education often uses teacher to learner ratio to work out the number of teachers needed for a school. 5.1 Masobe High School has 37 teachers and 1 591 learners. Write down the teacher to learner ratio for this school in its simplest form. (3) 5.2 Write the number of learners at Masobe high School in words. (2) 5.3 Toko High School has a teacher to learner ratio of 1 : 33. If there are 924learners in the school, how many teachers are there? (2) PERCENTAGES, RATIO AND RATES Happy Life Superstore advertised the specials below for the annual Black Friday in 2017. Coke, Sprite and Fanta Liquifruit Ariel Gaviscon 30% OFF 40% OFF 50% OFF Save R30 R11 each R22 each R45 each R43 [Source: www.checkers.co.za] 6.1 Write down the number of day(s) on which these prices are valid. (2) 6.2 Write down the name of the product which is now half price. (2) 6.3 Calculate the total price of ONE 2 ℓ-bottle of Coca Cola and TWO 2ℓ-bottles of Fanta. (2) 6.4 Calculate the original price of one Liquifruit before the saving. (2) 6.5 Determine the ratio of one bottle of coke to one box of Liquifruit. (2) 6.6 Calculate the original price of one 2 litre bottle of drink before the saving. (2) 6.7 Calculate the percentage decrease of Gaviscon. (3) 6.8 Express Ariel discount percentage as a fraction. (2) 6.9 Convert the 2 litre drink discount percentage to a decimal number (2) 6.10 Express the Gaviscon cost price as a percentage of the original price (rounded off to three decimal places) (4) NORTH WEST PROVINCE Page 8 https://tvetpapers.co.za

https://ultradeep.co.za PROPORTION Jane and Tom are considering redesigning their front garden. They hired workers to help with redesigning their garden. The graph below shows payments received against hours worked. PAYMENT FOR HOURS WORKED 450 400 350 PAYMENT IN RANDS 300 250 200 150 100 50 0 0 2 4 6 8 10 12 14 16 HOURS WORKED Use the graph above to answer the following questions: 7.1 What type of proportion is represented by the graph above? Give a reason for your answer. (3) 7.2 How much would a worker receive for 12 hours of work? (2) 7.3 Determine the hourly rate used in the graph. (2) 7.4 Determine the formula that could be used to calculate the payment due for hours worked. (2) 7.5 The workers requested that a transport allowance of R40 be added to their payments. Show how the formula obtained in QUESTION 3.4 should be adapted to include this allowance in their payment. (2) NORTH WEST PROVINCE Page 9 https://tvetpapers.co.za

https://ultradeep.co.za SUMMARY Mary, Peter and Katlego have a vegetable garden. They intent buying the garden tools for their garden. Answer the questions that follow. Use the information above to answer questions that follow. 1.1 Calculate the total cost of all the tools they intent to buy. (2) 1.2 Write the price for the water tank in words. (2) 3 1.3 Peter and Katlego pay 5 of the total cost. How much will Mary pay? (Round your answer to the nearest hundred). (4) 1.4 The water tank was discounted from R1 999,95 to R1 799,95. Calculate the percentage discount. (3) 1.5 Write the simplified ratio of the price of wheelbarrow to the price of hose pipe and fittings. (3) 1.6 Which time of the day, in summer, is suitable for watering the garden and why? (3) 1.7 A 5 000 litre water tank cost R4 899,00. Peter claims that it is cheaper to buy a 2 000 litre. Verify whether his claim is valid by means of calculations. (5) NORTH WEST PROVINCE Page 10 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 2 Mavis organised a birthday party for her daughter, Katlego. 15 boys and 18girls including her daughter attended a party. Use the information above to answer the questions that follow. 2.1 Write down the simplified ratio of boys to girls. (2) 2.2 Mavis bought 99 party packs for children who attended a party. Katlego stated that the girls will get 9 party packs more than the boys. Verify with calculations whether her statement is true. (5) 2.3 Mavis bought 6 kg of boerewors at 74,99 per kilogram. Calculate the amount she spent on the boerewors. (2) 2.4 The original price of Katlego`s dress was R379.She paid R285 after a discount. Calculate the percentage discount for the dress, rounded off to the nearest percentage. You may use the following formula: 𝑶𝒓𝒊𝒈𝒊𝒏𝒂𝒍 𝒑𝒓𝒊𝒄𝒆−𝑵𝒆𝒘 𝒑𝒓𝒊𝒄𝒆 % Discount = 𝑶𝒓𝒊𝒈𝒊𝒏𝒂𝒍 𝒑𝒓𝒊𝒄𝒆 × 100 (3) [12] NORTH WEST PROVINCE Page 11 https://tvetpapers.co.za

https://ultradeep.co.za MAKING SENSE OF GRAPHS THAT TELL A STORY The graph below shows Ms Smith`s monthly debt repayments as a percentage of her income from February to November. Monthly debt payments as a percentage of income 80% 70% 60% 50% Percentage 40% 30% 20% 10% 0% Feb Mar Apr May Jun Jul Aug Sep Oct Nov Months 1.1 What percentage of Ms Smith`s income is used to repay debt in February? (2) 1.2 At what point does she have no debt to repay? (2) 1.3 In which month did Ms Smith use almost all of her income to repay her debt? (2) 1.4 Give a possible reason for the increase in Ms Smith`s repayments from July to Oct. (2) 1.5 a) Determine the second highest monthly debt payment Ms Smith has made. (2) b) Hence, the month it was paid. (2) NORTH WEST PROVINCE Page 12 https://tvetpapers.co.za

https://ultradeep.co.za MAKING SENSE OF GRAPHS THAT TELL A STORY The graph below shows the average monthly temperature of Skukuza. Study the graph and answer the questions that follow. Skukuza averages monthly temperature 45 40 35 30 Temperature averages 25 20 15 10 5 0 Dec Jan Feb March April May June July Aug Sept Oct Nov Year 2018/2019 2.1 Which months have an average temperature of more than 35˚C? (3) 2.2 In which months were the maximum and the minimum average monthly temperatures recorded? (2) 2.3 What is the difference between the maximum and the minimum monthly temperature recorded. (3) 2.4 Looking at the monthly average temperature in Skukuza, which season will you encourage your friends and family members to visit the place and why? (3) NORTH WEST PROVINCE Page 13 https://tvetpapers.co.za

https://ultradeep.co.za PLEASE NOTE THAT QUESTIONS BASED ON THE FOLLOWING TOPICS WILL BE INTEGRATED: Patterns and relationships Representations of relationships in tables, equation and graphs Working with two relationships Income, expenditure, profit/loss, income and expenditure statement and budget Selling price Break even analysis FINANCE GLOSSARY TERM MEANING A Account A record of income and expenditure. B Balance This is the difference between debits and credits. Bank statement The details of all the transactions made from one bank account in a given time period. Break-even point Break-even point is where the business is at an activity level (doing business) at which total cost = total sales, i.e. you have made enough income to cover the costs. At the break-even point you are making neither a profit nor a loss; from that point on you will be making a profit with each sale (until new costs are incurred). Budget A plan of how to spend money. An estimate of income and expenditure. Bursary A sum of money given to you by an organisation for the purpose of covering your study costs. C Capital Money that is owned by someone for the purposes of investing or lending. Commission The sum of money paid to an agent (usually a salesperson) that is a percentage of the total value of goods sold by the agent. Compound Interest charged on an amount due, but including interest charges to date. interest Consumption rate The rate at which a commodity, such as water, electricity or fuel, is consumed. Cost-effective Best value for money. Cost price This is the amount that it costs per unit to either manufacture, purchase the item or to prepare for a service that will be delivered. This amount is pure cost, no mark up or profit added yet. Cost rate The price of a product per mass, volume, length or time unit. Credit This is an entry in an account showing a payment made to the account. Credit balance The amount in the account is your own. Credit card A credit card is a service bank‟s offer to allow you to buy goods and pay for them at the end of the month. Credit limit The maximum amount you can spend on your credit card. D NORTH WEST PROVINCE Page 14 https://tvetpapers.co.za

https://ultradeep.co.za Debit When someone or an organisation takes money out of your account. An entry in an account showing a payment made from an account. Debit balance The amount that you owe the bank for transactions made with borrowing money. Debit order It is an arrangement giving permission to a third party to withdraw money from a bank account on a regular basis. Deposit Payment made into a band account. Disposable income Income that is left over after all payments have been made. E Exchange rate The value of one currency in terms of the value of another currency. Expenditure The money that has been used on something. F Fine print The legal terms and conditions applicable to a transaction or account. Fixed deposit A single deposit invested for a fixed period at a fixed interest rate. Fixed expenses These are amounts that are the same every month like rent, school fees and transport costs. Fund A source of money. G Gross Income The total amount of all an individual‟s income before deductions. H Hire purchase Goods and products such as furniture can be purchased through a longer term lease or hire agreement (hire purchase), insurance is usually also added, until it is paid off. I Inflation That prices increase over time; that the value of money decreases over time. Increase in the price of a basket of goods or services that is representative of the economy as a whole. Interest Money paid regularly at a particular rate for the use or loan of money. It can be paid by a finance organisation or bank to you (in case of savings), or it may be payable by you to a finance organisation on money you borrowed from the organisation. Interest rate value This is the % rate of interest that will be charged on your loan amount, i.e. a percentage value of the original loan amount. Interest value This is the actual rand value amount of interest that will be added to your loan. Invest To put money into an organisation or bank (e.g. in buying shares) so as to gain interest on the amount at a higher rate. Investment Something in which you have invested money. Invoice A comprehensive document that details all the work done or items sold, and what costs are due. L Lay-bye A form of credit where the buyer pays a deposit and pays the rest off in instalments while the shop keeps the item(s) until it has been paid off. Loan A loan is an agreed sum of money that is lent by a bank or moneylender (e.g. personal loan or home loan). Luxury item or An item or service that is not essential for daily life, but which makes life service easier or more convenient. N Net Pay The amount an employee “takes home‟ after income tax has been deducted. NORTH WEST PROVINCE Page 15 https://tvetpapers.co.za

https://ultradeep.co.za O Overdraft An overdraft is an arrangement with the bank allowing you to draw more money than there is in your account. P PAYE (abbr.) Pay as you earn, tax taken off your earnings by your employer and sent to the South African Revenue Service before you are paid. R Remittance slip A piece of paper that accompanies a payment and contains the most important details of the transaction. S Salary An amount of money paid for the year‟s work. (This is normally paid monthly.) Selling price This is the price that something is offered for sale. Simple interest Interest charged on the original amount due only, resulting in the same fee every time. Statement A summary of transactions (debits and credits, or payments and receipts) made on an account. T Tariff A charge rate for a service rendered, e.g. import duties, water consumption cost, etc. Tax A compulsory levy imposed on citizen‟s earnings or purchases to fund the activities of government. Taxable A service, purchase or item or earning that has tax applied to it. Tax invoice Printed record of what was bought, what it cost, what was taxable, the tax amount, method of payment, amount tendered and change, if any. Trillion One million million (a one followed by twelve zeros). U UIF (abbr.) Unemployment Insurance Fund. A government-run insurance fund which employers and employees contribute to, so that when employees are retrenched they can still collect some earnings. V Variable Expenses Expenses that change over time or from one week/month to the next. These are things that you usually pay or buy each month, but the amount changes – things like telephone and electricity costs. VAT Value Added Tax (VAT) is a tax that is levied at 14% (currently in South Africa) on most goods and services, also on the importation of goods and services into South Africa. VAT exclusive Price before adding VAT. price VAT inclusive Price after adding VAT. price W Wages A wage is an amount of money paid to an employee normally based on a fixed number of hours worked per week. Withdrawal Money taken from a bank account. Z Zero Rated VAT These are goods that are exempt from VAT. When you buy groceries that are items basic foodstuffs, e.g. brown bread, milk, mielie meal, samp, rice, etc. NORTH WEST PROVINCE Page 16 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 1 Tebogo decided to remove garden waste on Saturdays. She hired a bakkie and a trailer at R400 a day. She asked her friend James to help her. She pays James R300 per day. PHOTO 1: Hired trailer and bakkie 1.1 Calculate Tebogo's daily fixed expenses. (2) 1.2 Tebogo has removed 80 drums and her variable expenses are R240. Calculate the variable expenses per drum. (2) 1.3 TABLE 2 below shows the ratio between the number of drums (with waste) and the total expenses. TABLE 2: Expenses of removal of waste drums Number of drums 80 0 10 20 30 40 50 (n) Expenses (C) in 940 700 730 760 A 820 850 Rand Use the above information and answer the questions that follow: (a) Write down a formula in the form Expenses (C) = .............. to determine the expenses (C) if a number of drums (n) are removed. (2) (b) Hence determine the value of A. (2) (c) Determine the number of drums that were removed for R1 000. (2) 1.4 Tebogo receives R20 to remove 1 drum. On a certain day, she received R1 600. Calculate the number of drums she removed on that specific day. (2) [12 NORTH WEST PROVINCE Page 17 https://tvetpapers.co.za

https://ultradeep.co.za The 2017 budget for ABC High School, is shown below. Projected budget for ABC High School Income (R) Expenditure (R) School fees 1 663 200 Salaries (SGB posts) 1 512 Donations 1 800 Curriculum material 121 Department grant 220 500 Computer maintenance 21 Bad debts recovery 11 250 Prize giving function 8 Cafeteria 10 800 Maintenance (grounds) 94 Interest received 1 089 School vehicle maintenance 39 Fundraising 9 250 Stationary 116 Municipality (water etc.) 140 Sport, Transport etc. 13 Development 16 Other expenses 15 Total income A Total expenses 2 098 Surplus/ Deficit = Income - Expenditure -180 475 Use the budget to answer the following questions: 2.1 For which year is the budget projected? (2) 2.2 Give an example of a fixed expenditure in the budget. (2) 2.3 Calculate the value of A. (2) 2.4 Write down the ratio of Donations to Fundraising, in simplified form. (2) 2.5 Define the term deficit as used in the budget. (2) [10] NORTH WEST PROVINCE Page 18 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 3 Peter makes and sells necklaces. The cost of making one necklace is R6,80 plus a once off travelling fee of R48,00 to get the beads and other materials. The necklaces are sold at R10,00 each. Use the information above to answer questions that follow. 3.1 What is the cost of making eight necklaces? (2) 3.2 What is the income if all eight necklaces are sold? (2) 3.3 Determine the percentage loss/profit (to the nearest percent) if eight necklaces are made and sold. (3) 3.4 Write down an equation which represents the cost of making the necklaces, using n as the number of necklaces. (2) 3.5 Write down an equation which represents the income obtained when selling the necklaces, using n as the number of necklaces. (2) 3.6 Draw graphs of the two equations on the same set of axes. Use ANSWER SHEET. (6) 3.7 From your graph, read off the point where the income and expenditure are equal. What is this point called? (3) NORTH WEST PROVINCE Page 19 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 3.6 Income and expenses for different number of necklaces made 250 200 150 Amount in rand 100 50 0 0 2 4 6 8 10 12 14 16 18 20 Number of necklaces [20] NORTH WEST PROVINCE Page 20 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 4 The vegetable garden produced big and sweet watermelons. Mary, Peter and Katlego decide to sell each watermelon for R45,00. TABLE: INCOME OF WATERMELONS SOLD Number of watermelons 0 2 3 A 8 14 Income (R) 0 90 135 225 360 B Use the table above to answer the questions that follow 4.1 Determine the formula to describe the relationship between the number of watermelons and the income (in Rand). Income = …………………………. (2) 4.2 Find the value of A and B in the table. (4) 4.3 Draw a line graph of the table on the ANSWER SHEET provided. (6) 4.4 Name and explain the type of relationship of this graph. (3) 4.5 If the income is R2 500 and divided amongst Mary, Peter and Katlego in the ratio 3:2:1 respectively, how much will Peter get? Round your answer to the nearest rand. (4) 4.6 If they sell 7 watermelons per day, how many watermelons will they sell in March 2020? (Hint: They only sell Monday to Friday) (3) [22] NORTH WEST PROVINCE Page 21 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 4.3 Income from Watermelons 495 450 405 360 __________________________________________________ 315 270 225 180 135 90 45 0 0 1 2 3 4 5 6 7 8 9 10 NORTH WEST PROVINCE Page 22 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 5 The Wimbledon tennis championships are held in London annually. One of the most popular foodstuffs sold at Wimbledon is strawberries and cream. The graph below represents the selling price (in British pound) of a portion of strawberries and cream from 1993 to 2014. Selling price of a strwaberries and cream from 1993 to 2014 3 2.5 Price in British pound 2 1.5 1 0.5 0 1990 1995 2000 2005 2010 2015 Years [Source: wimbledon.com] Use the graph and information above to answer the questions that follow. 5.1 Calculate the average ANNUAL percentage increase of the selling price of strawberries and cream from 1993 to 2014. You may use the follwing formula: Difference in selling price Percentage increase   100% (5) Initial selling price 5.2 Determine the total income from the sale of 142 000 portions of strawberries and cream in 2012. (3) 5.3 The selling price of strawberries and cream is determined by the annual inflation rate. Comment on the annual inflation rates from 2010 to 2014. (2) [10] NORTH WEST PROVINCE Page 23 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 6 Lerato wants to earn extra money to use towards her studies. After seeing how many people buy Chip Twisters, she investigated the possibility of selling Chip Twisters herself. She will need the following to start her business: Fixed assets  A cutter to slice the potatoes into rings  A deep-fryer to fry the potatoes Consumable goods  Potatoes  Bamboo sticks  Oil for frying  Seasoning She finds out that she can buy the cutter and the deep-fryer for R1 730. Lerato incurs the following costs: ITEM COST A 10 kg bag of medium-sizex potatoes (average of 48 potatoes per bag) R49,00 100 bamboo sticks R19,99 200 g bottle of seasoning R8,75 750 ml bottle of cooking oil R12,50 9kg gas bottle R259,00 6.1 In order to produce one Chip Twister, Lerato uses: 1 potato; 1 bamboo stick; 1,5 g of seasoning Calculate the cost of producing one Chip Twister using these ingredients. (7) 6.2 In order to fry the Chip Twister: NORTH WEST PROVINCE Page 24 https://tvetpapers.co.za

https://ultradeep.co.za The deep fryer uses 2l cooking oil to fry one 10 kg of medium-sized potatoes. The 9 kg bottle of gas fry up to 500 chip twisters. Calculate the total cost of producing one Chip Twister. (7) 6.3 Lerato sells her Chip Twisters at a local flea-market. Her rent and transport costs per week amount to R450,00. 6.3.1 Write down the formula that Lerato can use to calculate her weekly costs to produce and sell Chip Twisters if the total cost to produce one Chip Twister is R2,50. Write the formula in the form: Weekly cost (in rand) = 450 + ............ (2) 6.3.2 Hence, or otherwise, calculate how many Chip Twisters she will make if her weekly costs are R1 700. (3) 6.4 The graph showing Lerato‟s weekly income from the sale of Chip Twisters is drawn on ANSWER SHEET 2. Use ANSWER SHEET 2 to draw, on the same grid, the graph showing Lerato‟s costs to produce and sell Chip Twisters. (4) 6.5 Use tha graphs in QUESTION 3.4 above to answer the following questions. 6.5.1 Determine the selling price of a Chip Twister. (3) 6.5.2 How many chip twisters must Lerato sell in order to break even? (2) [28] NORTH WEST PROVINCE Page 25 https://tvetpapers.co.za

https://ultradeep.co.za Income and Costs for chip twisters 3500 3000 2500 2000 Amount in rand 1500 1000 500 0 0 100 200 300 400 500 600 700 800 Number of chip twisters NORTH WEST PROVINCE Page 26 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 7 Robert and Mary are planning a wedding reception. They visited two venues and compared the quotations of The Da Vinci Hotel and Tre-Jole Lodge and Conference Centre. The quotations from the two venues are as follows: The Da Vinci Hotel Tre-Jole Lodge and Conference Basic fee of R8 000 No basic fee R200 per person R275 per person Use the infomation above to answer the following: 7.1 Write down an equation to enable Robert and Mary to calculate the cost for hiring of the Da Vinci Hotel. (2) 7.2 Copy and complete the table below: Cost for hiring of venue Number of 0 20 40 60 80 100 120 140 160 180 200 guests Da Vinci 8000 12000 16000 20000 24000 ... ... ... ... ... ... Hotel (Cost in R) Tre-Jole 0 5500 11000 16500 22000 27500 33000 38500 44000 49500 55000 Lodge (Cost in R) (3) 7.3 On ANSWER SHEET provided, a line graph is drawn showing the cost for hiring Tre-Jole Lodge. On the same set of axes and using the table in 7.2, draw a line graph to represent the cost for hiring the Da Vinci Hotel. (5) 7.4 Use the graphs in 1.4.3 to answer the following: (a) Write down the number of guests that represent the break-even point when comparing the two venues. (2) NORTH WEST PROVINCE Page 27 https://tvetpapers.co.za

https://ultradeep.co.za (b) Write down the number of guests that Robert and Mary can invite if their budget allows them to spend R43 000 and they want to hire The Da Vinci Hotel. (2) QUESTION 7.3 Comparing of hiring costs Tre-Jole Lodge 60000 50000 40000 Cost (R) 30000 20000 10000 0 0 20 40 60 80 100 120 140 160 180 200 Number of guests NORTH WEST PROVINCE Page 28 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 8 Ulwazi and Ami are engaged and plan to get married. They are planning their wedding reception. They plan to invite 67 couples and 16 single persons as the only guests to the reception. The table below is an extract from the budget for the wedding reception. Reception costs Venue R22 100 Catering R34 200 Drinks R7 650 Wedding cake R2 500 Subtotal R66 450 Other expenses Flowers and decorations .......... ........... .......... Subtotal .......... TOTAL BUDGET AMOUNT R125 000 [www.coinmill.com. Accessed on 2 November 2014.] Currency: 1 rand = 0,32253 Ghanaian cedi (GHC) Use the table above to answer the following questions. 8.1 Determine the total number of guests they plan to invite to their wedding reception. (2) 8.2 Show how the catering cost was determined if the cost per person is R225,00. (2) 8.3 Express the total reception cost as a percentage of the total budgeted amount. (2) 8.4 Calculate the cost of the flowers and decorations if it is 1,8% of the total budgeted amount. (2) 8.5 Identify ONE expense, other than flowers and décor, that could be included in the budget and briefly explain this expense. (2) [10] NORTH WEST PROVINCE Page 29 https://tvetpapers.co.za

https://ultradeep.co.za QUESTION 9 Shanté makes fudge and sells it for pocket money. She uses the following recipe that was given to her grandmother. She sells the fudge for R2,50 a block. Recipe for 1 batch of fudge (54 blocks) 1 tin of condensed milk 1 kg of sugar 250 g of butter 5 ml vanilla essence 250 ml milk Use the information above to answer the questions tha follow. 9.1 Write down a formula that Shanté can use to calculate her total income from the sale of blocks of fudge, in the form: Total income (in rand) = ............. (2) 9.2 The table below shows her total income from the sale of blocks of fudge: Number of blocks 0 4 10 B 20 24 36 50 54 Total income 0 10 25 30 50 60 90 125 135 (in rand) Calculate the missing value B. (2) 9.3 Shanté wants to determine the cost of making one batch of fudge. The table below shows how the cost of the ingredients required per batch of fudge has been determined. Ingredients Quantity Cost of Actual Actual cost of purchased item quantity of ingredients ingredients used used Condensed milk 1 tin R12,89 1 tin R12,89 Sugar 2,5 kg R24,99 1 kg R10,00 Butter 500 g R30,55 250 g R15,28 Vanilla essence 100 ml C 5 ml R0,59 Milk 1 litre R6,95 250 ml R1,74 TOTAL COST R40,50 (a) Show how Shanté calculated the actual cost of the sugar required for ONE batch of fudge. (2) (b) Calculate the number of batches of fudge she will be able to make with the quantity of milk she purchased. (2) NORTH WEST PROVINCE Page 30 https://tvetpapers.co.za

(c) Determine the missing value C. (2) (d) Calculate the actual cost of the ingredients to make ONE block of fudge. (2) 9.4 The ANSWER SHEET shows the line gtaph of Shanté‟s expenses to make one batch of fudge. Whenever Shanté makes fudge she has to pay her mother a fixed amount for the use of the kitchen, electricity and water. (a) Determine the fixed amount she pays her mother. (2) (b) Draw another line graph on the ANSWER SHEET that shows her total income from the sale of different quantities of blocks of fudge.(5) 9.5 Explain the meaning of the point of intersection of the two straight lines representing expenses and income. (2) [21] QUESTION 9.4 NORTH WEST PROVINCE Page 31

QUESTION 10 The table below shows an income and expenditure statement of John‟s Vegetable Stall in a small town in the Eastern Cape. The statement shows a comparison of budgeted and actual values for the year 2017. John’s Vegetable Stall Budgeted and Actual values for the year 2017 (Values in Rand) ITEM INCOME BUDGET DIFFERENCE Vegetables (Type S) sales 3 250 2 750 500 Vegetables (Type T) sales 4 500 4 200 300 Additional income from air 1 200 1 000 200 time sales Total Income A 7 950 1 000 EXPENSES BUDGET VARIANCE Vegetables (Type S) costs 1 440 1 500 B Vegetables (Type T) costs. 2 600 C 200 Airtime 1 000 1 000 0 Delivery 800 880 (80) Total Expenses 5 840 5 780 60 Net profit (Loss) 3 110 2 170 940 10.1 Calculate the value of A. (2) 10.2 Determine the value of B. (2) 10.3 Calculate the budgeted value C for the Vegetables type T. (2) 10.4 Identify the item within the „Expenses‟ which could have been the main cause for the business to declare less profit. (2) QUESTION 11 The ANNEXURE shows a summary of the Income and Expenditure statement with notes of the South African National Blood Service ( SANBS) for the financial year ended 31 March 2016.Some of the amounts have been omitted. Use ANNEXURE A and the information above to answer the questions that follow. 11.1 Communication costs decreased by 4,402% from 2015 to 2016. Calculate (to the nearest thousand rand) the communication costs for 2016 (4) 11.2 The SANBS imports 75% of its production testing material and consumables. Explain what possible impact a weakening of the rand will have on their total profit for the year. (2) NORTH WEST PROVINCE Page 32

11.3 Compare, showing ALL calculations, the 2015 and 2016 percentage profit for the SANBS. You may use the following formula: Annual Total Pr ofit Percentage profit =  100% (5) Total Annual Pr imary Income NORTH WEST PROVINCE Page 33

QUESTION 12 TABLE 3 below showsthe nationalbudget and education budget of South Africa for 2017/18. TABLE 3: NATIONALBUDGET AND EDUCATION BUDGET OF SOUTH AFRICAFOR 2017/2018 NATIONAL BUDGET OF EDUCATION BUDGET OF SOUTH AFRICA (IN RAND) SOUTH AFRICA(IN RAND) Economic affairs 241,6 billion Basic education 216,7 billion andagriculture Defence andpublic 198,7 billion University subsidies 31,6 billion safety Health 187,5 billion Education 15,8 billion administration General admin 70,7 billion Skills development levy 21,1 billion institutions Local development 195,8 billion National student 15,3 billion andinfrastructure financial aid scheme(NSFAS) Debt service costs 162,4 billion Technical and 7,5 billion vocational education and training Social protection 180,0 billion Other 12,5 billion Education 320,5 billion [Adapted from www.graphics24.com] Use TABLE 3 above to answer the questions that follow. 12.1 Which of the amounts below represents the economic affairs and agriculture budgets? A 24 160 000 B 241 600 000 000 C 241 600 000 D 24 160 000 000 000 (2) 12.2 Explain the term budget within the context above. (2) 12.3 Write down the item which receives the third most money from the education budget. (2) 12.4 Calculate the percentage of the total education budget that is allocated to the NSFAS. (3) 12.5 University subsidies comprise about 9,86% of the total education budget. Estimate the combined budget, as a percentage, for education administration and the NSFAS. (2) NORTH WEST PROVINCE Page 34

FINANCIAL DOCUMENTS QUESTION 1 Rakgadibought grocery for her family and received the following till slip. MAHOMED SUPERMARKET Welcome to our store:A9 Daven Street. Beacon Bay, East LondonTel No:043 711 11 VAT Reg No:****2216 Last day of full refund is 12/01/2019 except for sale item Fanta 2l grape bottle R 15,99 # Sunfoil 2l cooking oil R29,99 cream of mushroom soup@ 4,79 R14,37 # Iwisa 5kg SampR39,99 # Tomatoes R34,99 # Chicken quarter legs 5kg R189,99 # Pepper red R12,50 Sliced Cooked Ham 250g R46,99 0.8961 @ 55.99 beef stew P/kg R50,17 # Cabbage R12,99 TOTAL (Including VAT) R447,97 VAT ( @ 15%A AMMOUNT TENDERED R500.00 CHANGE B # Non VAT Items 12/10/2013 12:35 Mavis Use the till slip above to answer the questions that follow. 1.1 Write down the name of the shop where Rakgadi bought her grocery. (2) 1.2 At what time was the purchase made? (2) 1.3 How many items are VAT free? (2) 1.4 Determine the number of cream of mushroom soups that were bought. (2) 1.5 Calculate the missing value of: 1.5.1 A (4) 1.5.2 B (rounded off to the nearest 10 cents) (3) [15] NORTH WEST PROVINCE Page 35

QUESTION 2 Below is Mr Lee`s payslip for November 2018. TABLE 2: COPY OF MR LEE’S PAYSLIP FOR NOVEMBER 2018 Employee Code S12001 Employee Name Joseph Lee Designation Salesman Cost Centre Sales Company Name AIF Company Date 30/11/2018 Rate 250,00 Income Description Quantity Rate Amount Basic Salary 35 000 Commission 20 250 5000 Gross Salary ………………. Benefits Company Contributions …………………… …………………………………………….. Deductions Description Balance Amount Pension 0,00 ……….. Paye Tax 0,00 9 052,00 UIF Contribution 0,00 ……….. Medical Aid 0,00 1 200 ,00 Total Deductions 12 902,50 Net Pay …………….. Use the information above to answer the questions that follow. 2.1 Calculate Mr Lee`s gross salary. (2) 2.2 Mr Lee contributes 6,43% of his gross salary towards pension fund every month. Calculate his monthly contribution. (2) 2.3 Employers are responsible for deducting a UIF contribution from an employee`s income every month. The employee contributes 1% of his/her salary and the employer contributes a further 1% as well. 2.3.1 What does the abbreviation UIF stand for? (2) 2.3.2 How much does Mr Lee pay towards UIF? (2) 2.3.3 State one benefit of contributing towards UIF. (2) 2.4 Mr Lee claims that his net pay is more than R30 000 after deductions. Verify his claim with calculations. (3) 2.5 Express the ratio (in the simplified form) of the Commission to the Basic salary. (2) [15] NORTH WEST PROVINCE Page 36

QUESTION 3 Mr Otlotleng,lives in Johannesburg and pays (Johannesburg Municipality) rates for water and electricity that he uses on a monthly basis. Below is the electricity bill that he received from the municipality for the month of February: CITY OF JOHANNESBURG MUNICIPALITY 158 Civic Boulevard Street Metropolitan Centre, 8th Floor, A-Block, Braamfontein Street Address Client Name Invoice Number 123 Doreen Avenue Mr P. Otlotleng NORTH – ELEC99977 Johannesburg 2 000 Date Consumption details Tariff Sub Total VAT (15%) Sub Total Due 28/02 Previous reading: 114628 kWh Current reading: 115353 kWh .......... R899,08 R134,86 R1 033,94 → Consumption for February:...........kWh 28/02 30 AMP Circuit R2,80 per R84,00 R12,60 R96,60 Breaker AMP TOTAL AMOUNT DUE ........................... TABLE 3: ELECTRICITY TARIFFS AND CHARGES Energy (kWh) Energy Charge (cent/kWh 0-500 118,58 501- 1 000 136,08 Use the electricity bill and Table 3 above to answer the questions that follow. 3.1 Define the term “tariff”. (2) 3.2 Calculate the electricity consumption for February. (2) 3.3 Show how the Sub Total Charge value of R899,08 was calculated. (2) 3.4 Calculate the total amount due. (2) [8] NORTH WEST PROVINCE Page 37

QUESTION 4 Lucy intends to replace the fridges in 12 of her holiday cottages. She then requested a quotation from a furniture store which provides finance. She indicates that she will pay a deposit and agrees to include the extended guarantee, delivery charges and initiation fee as part of the quotation. PART OF THE QUOTATION THE GOODS QUANTITY UNIT VALUE STOCK DESCRIPTION OF GOODS PRICE (R) (R) CODE 12.00 11 999,00 143 988,00 322885 SAMSUNG 520l FRIDGE 12.00 A 1 799,88 317949 ELLIES ELECTRIC PLUG COST OF CREDIT R145 787,88 *TOTAL GOODS VALUE (R17 494,55) LESS Use the DEPOSIT information above to answer the questions that follow. 4.1 Determine the missing value A. (2) (R0,00) LESS DISCOUNT 4.2 Show how the total value of the goods of R145 787,88 was calculated. (2) ITEMS MARKED WITH (*) ARE INCLUSIVE OF 14% VAT 4.3 Calculate the percentage deposit that needs to be paid. (3) 4.4 Calculate the total VAT amount that is included in the price for ALL the fridges. (3) [10] NORTH WEST PROVINCE Page 38

QUESTION 5 The ANNEXURE shows an adapted municipal account statement ( property rate and services account ) of Mr Fortune. Use ANNEXURE A to answer the questions that follow. 5.1 Write down the valuation date ( month and year) of Mr Fortune‟s property. (2) 5.2 Name the municipal services that Mr Fortune is charged for. (2) 5.3. Determine the end date of the reading period of this statement. (2) 5.4 Show how the daily average water consumption of 0,522 kl was calculated. (2) 5.5 Name and explain which services on this statement is a variable expense (3) 5.6 Determine the missing value: (a) A (2) (b) B (2) 5.7 Calculate the monthly sewarage rate (excluding 14% VAT) per square meter for this property. (2) 5.8 Write down the unpaid amount for December 2016. (2) 1.9 Mr Fortune paid R1 800 ON 15 January 2017. Name the type of rounding he used to obtain this amount. (2) NORTH WEST PROVINCE Page 39

MUNICIPAL ACCOUNT STATEMENT Fortune SJ Date 2017/01/02 33 Wood Street Statement for January 2017 Smelderado Estate 1811 Account Number 547 892 30495 8233 Stand Size | Number of Dwellings | Valuation Date | Portion Municipal Valuation Region 463 m° 1 2013/07/01 Cc Market value R690 000 Q Water and Sewerage AMOUNT _| SUBTOTAL Reading Period (23 days): 2016/11/27 to ... Meter readings and consumption: Start reading 467,00 and end reading 479,00 Consumption = 12,00 ke Daily average consumption 0,522 kf Charges for 12,00 k€ are based on a sliding scale. Step 1 4,534k¢ @ RO,000 0,00 Step2 3,022 kt @ R7,140 21,58 Step3 3,778 ke @ R12,070 45,60 Step4 0,666 ke @ R17,650 11,76 Monthly sewerage charge based on stand size 463 m? 298,36 (Billing period 2016/12) VAT: 14,00% 52,82 430,12 Property Rates Category of Property: Property Rates Residential Property rates are based on the market value of the property and are calculated as follows: R690 000,00 x RO,006 916 0 + 12 A Less rates on first R200 000,00 of market value 115,27 VAT: 0% 0,00 B Refuse Refuse Removal 147,00 VAT: 14% 20,58 167,58 Current Charges (Incl. VAT) 880,10 Previous Account Outstanding Balance 919,33 Current Charges 880,10 Total Due 1 799,43 Due Date 2017/01/25 [Adapted from City of Johannesburg Municipal Account] NORTH WEST PROVINCE Page 40

QUESTION 6 6.1 Tebogo is a client of BOMA Bank. She received her monthly bank statement for transactions she has made in May 2018. Tebogo's statement for May 2018 is given below. BANK STATEMENT BOMA Bank M Cell Cellular Shop Fourways Branch Shop 10 PO Box 25871 Madiba Mall Fourways Fourways 2002 2002 3 June 2018 Statement period: 1 May 2018 to 31 May 2018 Account number: 1258 3598 1257 Current Account Date Details Debit Credit Balance R R R 1 Balance 11 380.00 Cr 4 Cash deposit 1 900.00 13 280.00 Cr 6 Cash handling fees 14.50 13 265.50 Cr 10 Cheque 475 450.00 12 815.50 Cr 12 Inter-account transfer: Savings account 0215875 7 450.00 20 265.00 Cr 15 Cheque 476 20 480.20 214.70 Dr 20 Internet transfer: T Kotze 870.00 655.30 Cr Cheque 473 348.00 307.30 Cr 26 Dishonored cheque R/D (L Jordaan - debtor) 450.00 142.70 Dr 28 Transaction fees 25.30 168.00 Dr 30 Cheque 454 600.00 768.00 Dr Stop order - insurance 350.00 1 118.00 Dr 31 Interest paid 120.00 998.00 Dr Bank interest 58.75 1 056.75 Dr Service fees 30.25 1 087.00 Dr Cheque 470 220.00 1 307.00 Dr Deposit: Salary 5 312.60 4 005.60 Cr NORTH WEST PROVINCE Page 41

Use the information on the bank statement to answer the following questions: 6.1 Determine the opening balance in the account. (2) 6.2 Calculate the total amount that Tebogo has paid for bank fees for the month. (2) 6.3 Show how the amount of R4 005.60 (closing balance), after the deposit on the 31stMay in her account, was calculated. (2) 6.4 Briefly explain the difference between wage and salary. (2) 6.5 On May 4, Tebogo made a cash deposit of R1 900 into her account. Calculate the percentage of this amount charged by the bank as cash handling fee. (2) TARIFF SYSTEM QUESTION 1 Mr Tana received an account bill from the municipality. Study the table extracted from the municipality account statement showing the water amount to be paid and answer the questions that follow. Date Service Details Charge VAT Charge (incl. VAT) (excl.VAT) 20/03/15 Water Meter no. B- R184,66 .......... R210,51 ZGD543 Tariff: Water Domestic Reading dates: Current (09/02/15) = 2 384 Previous (07/01/15) = 2 368 Water 16 kl WATER DEBT COLLECTION ACTION WA 0100 : 6 kl @ 9,941230 The supply service may be discontinued if any amount WA 0100 : 4 kl @ 10,136180 is unpaid after the due date and the deposit may be WA 0100 : 10 kl @ 14,077830 reviewed simultaneously. Please note that the due date WA 0100 : 10 kl @ 18,249050 does not apply to overdue accounts. WA 0100 : 30 kl + @ 22,901530 Use the above information to answer the questions that follow. 1.1 Calculate the amount of VAT (Value Added Tax) charged for the water tariff given in the table. (2) 1.2 Show all your calculations on how the total amount of R184,66 was calculated. (4) NORTH WEST PROVINCE Page 42

QUESTION 2 The municipality charges a monthly tariff for water on a sliding scale as shown in the table below‟ TABLE 3: WATER TARIFF Water usage(in kilolitres) Rate per kilolitre(in rand) 0-6 0 7-12 9,25 13-19 12,13 20-28 14,04 29-36 16,04 37-49 17,34 50-72 18,56 more than 72 19,87 Note: All these rates are inclusive of 15%VAT. 2.1 Calculate the cost of using 33 kl. (5) 2.2 Calculate the rate before VAT for 37-49kilolitres. (3) [8] QUESTION 3 Mr. Mabele received a letter from the City of Cape Town to explain his high water consumption. The following information was in the letter:  Water (period 01/04/2018 to 30/04/2018)  Previous meter reading 7849,00 kℓ  New meter reading 7866,82 kℓ  Water Bill is R1 016,12  Sewerage is an ADDITIONAL cost that is equal to 60% of the water bill.  The Mabele‟s household consist of 5 members.  The suggested daily water consumption is 50 ℓ per person. 3.1 Suggest ONE way on how Mr Mabele can save water. (2) 3.2 Calculate how much more is the water consumption (in litres) than the suggested monthly usage for the Mabele household. (6) NORTH WEST PROVINCE Page 43

QUESTION 4 Due to the implementation of the suggested water saving strategies, MrMabele‟s monthly water consumption for the period 01/05/2018 to 31/05/2018 decreased by 45% from the previous period (01/04/2018 to 30/04/2018). The following table indicates the water tariff rates. Price of Water Usage (Vat Included) Water consumption Tariff Less than 6 kℓ R26,25 Between 6 kl and 10,5 kℓ R46,00 Between 10,5 and 20 kℓ R114,00 His wife stated that they have saved more than R1 000. Verify if his wife‟s statement is correct or not by showing all calculations. (9) QUESTION 5 5.1 A family with five people are living in a water-restricted area in Johannesburg where they can use 87 litres of water per person per day from the municipality. They have decided to install eco-water storage tanks to be able to use 250 litres per person per day. The family uses 87 litres per person of water from the municipality and uses the extra amount from the water tanks. They have two water tanks with dimensions as shown in the table below. TANK Diameter in millimetres Height in millimetres A 1 050 1 420 B 1 800 2 100 NOTE: Two tanks with dimensions as shown have been installed at their house. 5.1.1 How many litres of water in total do they use per month (30 days) from the municipality and from the tanks? (5) NORTH WEST PROVINCE Page 44

5.1.2 Use TABLE 2, the water tariff charges, below to answer the question. [NORMAL WATER TARIFF CHARGES FOR JOHANNESBURG IN 2016/2017] Tariff Summary (in kilolitre) Tariff Rand per kilolitre (without VAT) 0 – 6 kℓ Free 7 – 10 kℓ R7,14 11 – 15 kℓ R12,07 16 – 20 kℓ R17,65 21 – 30 kℓ R24,03 31 – 40 kℓ R25,81 > than 40 R32,27 [Source: www.johannesburgwater.co.za] Conversion: 1 kℓ = 1 000 litres The family states that, if the water per person (number of litres) used from the water tank were charged using the normal municipality tariffs, they would be paying more than R300 including VAT (14%) for the water bill. Verify, with the necessary calculations, whether their statement is valid or (9) not. 5.2 In a no fee school, book packs (stationary) are supplied to Grade 10, 11 and 12 learners in the ratio 5 : 3 : 2. There are different stickers for each of these grades; blue for Grade 10, beige for Grade 11 and green for Grade 12. Each book pack cost R320,00 including VAT (15%). 5.2.1 The Grade 10 learners received 250 book packs. How many packs were supplied for the whole school? (5) 5.2.2 A government official states that the 15% VAT charged on the total number of book packs is more than the total cost of 50 book packs. Verify, with calculations to show whether the statement is valid or not. (7) NORTH WEST PROVINCE Page 45

QUESTION 6 Simon ordered new gym equipment from Cape Town, South Africa and asked Blue Bird Truck Hire and Transport for a quotation (a formal statement setting out the estimated cost for a particular job or service) to deliver the equipment in Gaborone, Botswana. TABLE 4: BLUE BIRD TRUCK HIRE AND TRANSPORT RATES Tariff Summary Tariff (VAT inclusive) 1-ton open truck R1 050,00 and additional km‟s @ R2,50 per km 3-ton closed truck R1 600,00 and additional km‟s @ R4,00 per km 5-ton closed truck R1 850,00 and additional km‟s @ R4,95 per km 7-ton closed truck R1 950,00 and additional km‟s @ R5,75 per km 6-ton crane truck R3 900,00 and additional km‟s @ R7,50 per km Source: www.bluestartruckhire.co.za **Rates quoted above include 200 free kilometres, a driver, an assistant driver and fuel. 6.1 Use the TABLE above and the distance table on ANNEXURE below to calculate the amount of the quotation if he wants to hire a 5-ton closed truck to deliver the equipment from Cape Town to Gaborone. (5) 6.2 After Simon received the quotation, he estimated that if he asked one of his friends in Gaborone to collect the equipment from Cape Town, it will cost him R2 000 less. The fuel consumption of the truck his friend uses is 10,5 litre/100 km, the fuel price is R13,42 per litre and the maintenance cost is 224,9 c/km. Determine whether his estimation was correct. (9) NORTH WEST PROVINCE Page 46

QUESTION 7 Use the information above to answer the questions that follow. 7.1 Write the formula for calculating the consumption of electricity using the post-paid option. (2) 7.2 On the same set of axes provided on the ANSWER SHEET, complete the table and draw line graphs illustrating the pre-paid and post-paid options. (9) 7.3 Determine the break-even point. (2) [13] QUESTION 7.2 Electricity units (kWh) 0 10 20 30 50 100 Pre-paid (R) 0 25 50 75 _______ 250 Post-paid (R) 100 105 110 115 125 _______ NORTH WEST PROVINCE Page 47

ELECTRICITY CONSUMPTION 280 260 240 220 200 180 160 Amount (R) 140 120 100 80 60 40 20 0 0 10 20 30 40 50 60 70 80 90 100 Electricity units NORTH WEST PROVINCE Page 48

TAXATION QUESTION 1 Mr Kgomo and his family from Kimberly visit their uncle who stays in Polokwane. He wants to hire a car for the trip and requested quotation from two car rental companies, Company AK and MX. He intends to use the car for 4 days. The distance between Kimberly and Polokwane is 804 km TABLE 1: Rates for Company AK and Company MX RATE CODE Company AK Company MX Included total kilometers for 800 km 800km rental Rental amount for 4 days R2 230,00 (incl. VAT) R2 556,00 (incl. VAT) Cost per additional R3,59 (incl. VAT) per km R3,29 (incl. VAT) per km kilometers Additional Charges Contract fee Included in the rental fee R63,15 (excl. VAT) Additional driver R310,00 (excl. VAT) R241, 23 (excl. VAT) Total additional charges R353,40 (incl.VAT) R346,99 (incl. VAT) Note: VAT is 15% Use TABLE 1 and the information above to answer the questions that follow: 1.1 What does the abbreviation VAT stand for? (2) 1.2 Show how the total additional charges for company MX was calculated. (3) 1.3 Calculate the total cost for a single trip if they travelled 1027 km using Company AK. (5) 1.4 Name one factor that could have influenced the total distance travelled from Kimberly to Polokwane. (2) [12] NORTH WEST PROVINCE Page 49

QUESTION2 The prices of two types of blenders are given below. All prices exclude 15% VAT. BLENDER 1 BLENDER 2 Normal price: R799 Normal price: A Discount: R200 Discount: R41 New price: R599 New Price: R259 VAT: R89,85 VAT: 15% Use the information above to answer the questions that follow. 2.1 Write down the discount amount for blender 1. (2) 2.2 Calculate A, the normal price for blender 2. (3) 2.3 Determine the difference between the new price of blender 1 and the new price of blender 2. (3) 2.4 Show how the VAT amount of R89,85 was calculated. (2) NORTH WEST PROVINCE Page 50

QUESTION 3 Mr Jacobs wants to buy a new luggage bag for his Kruger National Park holiday. He found the two advertisements below while searching the internet. OCTOLITE CARRY ON AMERICAN TOURISTER Scale: 1:50 Scale: 1:75 Selling price: Selling price: R2 499 (15% VAT included) R1 999 (15% VAT excluded) Study the two options above and answer the questions that follow. 3.1 Write out the acronym VAT in full. (2) 3.2 Calculate the total VAT charged on the American tourister. (2) 3.3 Write the scale in words for the Octolite Carry On. (2) 3.4 Determine the number of wheels on the American Tourister. (2) 3.5 Define selling price in the above context. (2) NORTH WEST PROVINCE Page 51

QUESTION 4 Pat and Muzi have decided to open a perfume gallery. They hired a shop at Mokopane mall. A fixed amount of R12 000 is paid annually for electricity usage. They buy cylinders of perfume and package the perfumes in 50mℓ bottles which are filled up to 95% capacity. Monthly rental fee is R3 800,00 The empty bottles including the caps are sold in packs of 100 at R370,50. The total annual cost of renting the label printing machine at R6 905,00 but paid monthly. The cost of a roll of self-adhesive paper labels is R65,00 and covers 50 bottles. NB: All prices include 15% VAT. 4.1 Calculate the actual volume of the perfume in a 50 mℓbottle. (2) 4.2 Calculate the number of bottlesof perfume that can be filled using one 50 litres cylinder. (3) 4.3 Determine the sum of monthly fixed costs. (2) 4.4 How many rolls of self-adhesive paper labels will be needed for 1 000 bottles of perfume? (2) 4.5 Calculate the amount of VAT charged on the label printing machine. (4) 4.6 Perfume is sold in a 50 ℓ cylinder for R58 000,00 and a 30 ℓ cylinder for R35 250,00. (a) Which one of the refill perfumes will be cheaper? (5) (b) Muzi said it will cost them less than R70 000 to package the first 1 000 bottles within the first month if they buy the perfume in a 50ℓ cylinder. Verify his claim. (6) NORTH WEST PROVINCE Page 52

QUESTION 5 PAYSLIP Payslip number 312 LEAP Environmental Strategies Robert E Wills Date employed: 01/06/2010 Run number 443 Occupation: Salary period: Environmental Impact Manager 01/06/2015 – 30/06/2015 Employee number: LES 113 Identity number: 8203025013089 Description Earnings Deductions Basic Salary 15 500,00 Travel allowance 3 400,00 Medical Aid 1 230,00 Pension fund A Staff loan 500,00 UIF employee contr. B Tax – regular earnings 1 439,60 Tax – allowances 510,00 Totals 18 900,00 C Net Pay D Use the information above to answer the following: 5.1 Calculate the missing value A, if Robert contributes 7,5% of his monthly salary to the pension fund. (3) 5.2 (a) Calculate Robert‟s UIF contribution at B. (3) (b) Determine the total LEAP Environmental Strategies will pay over towards UIF for this employee. (2) 5.3 Calculate the missing values at C and D. (4) 5.4 Determine what percentage Robert is being taxed on for his travel allowance. (3) NORTH WEST PROVINCE Page 53

QUESTION 6 Mr Motale is an employee at a chocolate factory. His daily working hours are from 08:00 to 15:00 from Monday to Friday with the hourly rate of R27,50. Working from 15:00 to 16:00 during the week means that he will earn R35,00 per hour. Working on weekends from 09:00 to 13:00 earns him R70,00 per hour. Use the information above to answer the questions that follow. 6.1 Calculate his weekly contribution towards the UIF, if he does not work overtime. (5) 6.2 Mr Motale states that the total wage for working overtime in 1 week is more than R450,00. Verify, showing ALL calculations, whether his statement is valid. (4 6.3 Give one reason why it is important to contribute towards UIF. (2) [11] QUESTION 7 Eunice is an employee at Emaya High School. Her daily working hours are from 07:30 to 15:00 from Monday to Friday. Her total daily hours worked includes a 20-minute tea break and a 45- minute lunch break. The following deductions are made from her gross monthly salary:  7,5% of her gross monthly salary for pension fund contributions  UIF (Unemployment Insurance Fund) of 1% of her gross monthly salary  PAYE (pay-as-you-earn) tax as per tax bracket The ANNEXURE shows a copy of her salary advice that she received at the and of October 2013. Use the above information and the ANNEXTURE to answer the questions that follow. 7.1 The new tax year, to which this salary advice is applicable, started on 1 March 2013. Explain why the period on the salary advice is indicated as 08. (2) 7.2 Define the concept gross salary. (2) 7.3 Calculate her housing allowance as a percentage of her gross salary. (2) NORTH WEST PROVINCE Page 54

7.4 Show how the pension fund contribution of R596,40 was calculated. (2) 7.5 Write down the total pension fund contribution she has made thus far for the current tax year. (2) 7.6 Calculate the missing velue A. (2) 7.7 Determine the difference between the overtime hourly rate paid for working during the week (Monday – Friday) and for working on Saturdays. (2) NORTH WEST PROVINCE Page 55

QUESTION 8 Mrs John, 68 years old, is a consultant at ABC company and earns a monthly gross salary of R65 000. She earns a performance bonus of 75 % of her monthly salary in December. Her pension contribution is 7,5% of her monthly gross salary and she pays R1 050 per month to the medical aid fund. 8.1 Calculate Mrs John‟s annual gross salary. (2) 8.2 Calculate Mrs John‟s annual pension fund contribution. (2) 8.3 Calculate Mrs John‟s annual medical aid fund contribution. (2) 8.4 Show that Mrs John‟s performance bonus is R48 750. (2) 8.5 Determine Mrs John‟s annual taxable income. (4) QUESTION9 The table below shows the income tax brackets for the 2016/2017 financial year. INCOME TAX FOR 2016/2017 FINANCIAL YEAR Taxable Income (Rand) Rates of tax (Rand) R0–R188 000 18% of each R1 R188 001–R293 600 R33 840 + 26% of the amount above R188 000 R293 601–R406 400 R61 296 + 31% of the amount above R293 600 R406 401– R550 100 R96 264 +36% of the amount above R406 400 R550 101– R701 300 R147 996+ 39% of the amount above R550 100 R701 301 and above R206 964 +41% of the amount above R701 300 REBATES TAX THRESHOLD Primary: R13 500 Below age 65: R75 000 Secondary: R7 407 Age 65 and over: R116 150 Tertiary: R2 466 Age 75 and over: R129 850 Use the table and the information in QUESTION 3 to answer the questions that 9.1 Identify the taxable income group in which Mrs John‟s income (2) falls. 9.2 Calculate the rebate Mrs John will receive. (2) NORTH WEST PROVINCE Page 56

9.3 Calculate the actual tax to the nearest rand that Mrs John will pay for the 2016/2017 financial year. You may use the formula: (4) Actual tax = Income tax calculated on taxable income – Rebate 9.4 Hence, calculate Mrs John‟s net annual salary. You may use the formula: (3) Net annual salary = Annual taxable income – Actual tax QUESTION 10 Mr Timothy, a 34 year old employeeearns a monthly taxable income of R16 632. TABLE 4: 2017 TAX YEAR (1 MARCH 2016 – 28 FEBRUARY 2017) Taxable income (R) Rates of tax (R) 0 – 188 000 18% of taxable income 188 001 – 293 600 33 840 + 26% of taxable income above 188 000 293 601 – 406 400 61 296 + 31% of taxable income above 293 600 406 401 – 550 100 96 264 + 36% of taxable income above 406 400 550 101 – 701 300 147 996 + 39% of taxable income above 550 100 701 301 and above 206 964 + 41% of taxable income above 701 300 Tax Rebates Primary R13 500 Secondary (65 and older) R7 407 Tertiary (75 and older) R2 466 Use Table 4 above to answer the questions that follow. 10.1 Calculate the monthly income tax for Mr Timothy. (6) 10.2 Mr Timothy states that a 70 year old person earning an annual taxable income of R219 780 contributes a high monthly income tax than him. Verify his statement using calculation. (6) [12] NORTH WEST PROVINCE Page 57

QUESTION 11 Palesa is a 47 years old teacher at Rapulana High School. She earns a monthly gross salary of R34 136. Below is tax table for 2017/2018 tax year. TABLE 3: Tax table for 1 March 2017 to 28 February 2018 Taxable income Tax rate 0 – 189 880 18% of every rand 189 881 – 296 540 34 178 + 26 % of taxable amount above 189 880 296 541 – 410 460 61 910 + 31% of taxable amount above 296 540 410 461 – 555 600 97 225 + 36 % of taxable amount above 410 460 555 601 – 708 310 149 475 + 39% of taxable amount above 555 600 708 311 – 1 500 000 209 032+ 41% of taxable amount above 708 310 1 500 000 and above 333 625+ 45% of taxable amount above 1 500 000 Table 2 below shows the rebates for 2017/2018 tax year TABLE 2: Tax Rebates Primary R13 625 Secondary (65 years and older) R7 479 Tertiary (75 years and older) R2 493 Use the information above to answer the questions that follow: 11.1 Explain the concept „gross salary”. (2) 11.2 Determine Palesa‟s tax bracket (3) 11.3 Calculate Palesa‟s monthly tax. (5) 11.4 Palesa‟s father who is 73 years old claims that he pays same tax as Palesa because they are earning the same monthly gross salary. Do you agree with Palesa‟s father? Give a reason for your answer. (3) [13] QUESTION 12 NORTH WEST PROVINCE Page 58

MrsKareen, a 68 year old employee earns an annual taxable income of R422 180. She is married and blessed with 24 years old boy who is a student at Wits University. She is a member of a medical aid scheme. TABLE 4: 2020 TAX YEAR (1 MARCH 2019 – 29 FEBRUARY 2020) Taxable income (R) Rates of tax (R) 0 – 195 850 18% of taxable income 195 851 – 305 850 35 253 + 26% of taxable income above 195 950 305 851 – 423 300 63 853+ 31% of taxable income above 305 850 423 301 – 555 600 100 263 + 36% of taxable income above 423 300 555 601 – 708 310 147 891 + 39% of taxable income above 555 600 708 311 – 1 500 000 201 448 + 41% of taxable income above 708 310 1 500 001 and above 532 041+ 45% of taxable income above 1 500 000 Tax Rebates Primary R14 220 Secondary (65 and older) R7 794 Tertiary (75 and older) R2 601 Medical Tax Credits per month For the taxpayer who paid the medical scheme contribution R310 For the first dependant R310 For each additional dependent R209 Threshold Use Age younger Table 4 than 65 above to answer the questions that follow. R79 000 Age 65 and older R122 300 12.1 Age 75 and the Calculate olderebate for a person older than 75 years. R136 750 (2) 12.2 Identify the tax bracket applicable to Mrs Kareen‟s taxable income. (2) 12.3 Calculate Mrs Kareen‟s annual medical credits. (3) 12.4 Calculate Mrs Kareen‟sannual income tax. (5) [12] SUMMARY NORTH WEST PROVINCE Page 59

QUESTION 1 1.1 Mrs Letsie owns a large national cleaning company that cleans office blocks in various cities. Four years ago she obtained an additional cleaning contract. She employed additional employees on a contract basis for the four years. The Unemployment Insurance Fund (UIF) requires that an employer and employee each contribute 1% of the employee‟s gross salary to the fund. The number of additional employees and their gross salaries are as follows:  11 handymen each receiving a monthly salary of R4 410,37  272 cleaners (men and women in the ratio 1 : 3), each receiving R18,66 per hour working 8 hours per day for a total of 20 days per month  12 supervisors (in the same gender ratio as the cleaners), each receiving a monthly salary of R230 more than a cleaner‟s monthly salary  11 drivers paid weekly*, each receiving R734,53 per week *NOTE: For the purposes of UIF contributions, the weekly salary is to be multiplied by 52 and then divided by 12 to determine the monthly salary. [Source: Government Gazette No. 23064] Use the information above to answer questions that follow. 1.1.1 Show, with calculations, that the gross monthly salary for an additional driver is R3 182,96. (2) 1.1.2 Calculate the total monthly UIF contributions payable to the UIF for all the additional employees. (10) 1.1.3 Mrs Letsie stated, “The percentage difference between the salary of the lowest paid additional employee and the mean salary of all the additional employees is less than 3%.” Verify, showing ALL calculations, whether her statement is valid. (6) 1.2 Every month the company randomly selects an “Employee of the Month” from all the additional employees. 1.2.1 Calculate the probability of randomly selecting a female cleaner as the employee of the month, round off to THREE decimal places. (4) 1.2.2 Explain why the chance of randomly selectinf a male supervisor as the employee of the month is most unlikely. (2) 1.3 At the end of the contract period some workers may become unemployed. They NORTH WEST PROVINCE will be entitled to apply for UIF benefits. Page 60 The table below shows an extract of the UIF benefits payable on various gross monthly salaries.

1.3.1 Calculate the mossing values A and B. (5) 1.3.2 Draw a line graph that illustrate the relationship between the gross montlhy salary and the IRR on the grid provided on ANSWER SHEET 4. (5) NORTH WEST PROVINCE Page 61

THE RELATIONSHIP BETWEEN GROSS MONTHLY SALARY AND THE INCOME REPLACEMENT RATE (IRR) ne | (%) avy yUsMIIe[day sUIOTUT 8 000 10 000 6 000 4000 Gross Monthly Salary (Rand) 2 000 NORTH WEST PROVINCE Page 62

QUESTION 2 Duringcertain seasons inSouth Africa, the wind can lead to firesthat cause large damages. The fire losses in South Africa for the period 2010 to 2015 are shown in TABLE 4 below. TABLE 4: LOSSES CAUSED BY FIRE FOR THE PERIOD 2010 TO 2015 2010 2011 2012 2013 2014 2015 Total loss in rand 1 323 2 085,6 3 162 2 158 1 847 2 732 (in millions) GNI 2 608,5 2 897,6 3 066 3 441 3694 3913 (in thousand millions) Fire loss as a % of GNI 0,05% 0,07% 0,103% A 0,05% 0,07% Number of fires 26,5 37,7 41,4 42,3 46,1 45,7 (in thousands) Population (rounded) 49,9 51,7 52,2 52,9 53,5 54,3 (in million) [Adapted from: http://www.fpasa.co.za] NOTE: GNI – gross national income Use TABLE 4 above to answer the questions that follow. 2.1 Write down the total loss, in rand, caused by fire during 2011. (2) 2.2 Calculate the mean total loss, in rand, caused by fires for the period 2010 to 2015. (3) 2.3 Identify the maximum number of fires for the period 2010 to 2015. (2) Calculate the value of A, the fire loss as a percentage of the GNI for 2013. 2.4 Round your answer to TWO decimal places. (4) NORTH WEST PROVINCE Page 63

QUESTION 3 The Rand Show is an annual event held in Gauteng.THE Abrahams family, consisting of two adults aged 45 and 48, two children aged 6 and 14 a grandmother aged 73, planned to visit the Rand Show . Use the information above to answer the questtions that follow: 3.1 Calculate the total number of hours to Rand Show will be open to visitors for the full duration of the show. (3) 3.2 Calculate the amount of VAT payable on a teen‟s tickets (3) 3.3 Determine the probability (in simplified form) of randomly selecting a Friday visit to the Rand Show. (3) 3.4 The family visited the Rand Show on 23 April 2017. Mrs Abrahams stated that if the family had visited the Rand Show on 20 April instead of 23 April, they would have saved more than 35% on the total cost of the tickets. Verify, showing ALL calculations, whether her statement is valid. (9) NORTH WEST PROVINCE Page 64

QUESTION 4 4.1 Bank account holders are allowed to request periodical (i.e. either for weekly, monthly, six months‟ period, etc.) statements on their accounts. A TSD Bank Prestige Plus Current account statement for the period 09/09/2017 to 16/09/2017 is shown on the annexure below: Prestige Plus Current Account Statement TSD Bank From: 09/09/2017 Cornerstone Building To: 16/09/2017 Marshalltown Gauteng 2107 Account Number: 47 962 1719 Miss T Diale 1145 Leslie Street Vereeniging 1930 Details Debit (R) Credit Date Balance (R) (R) Balance Brought 54,31 Forward IB Payment to Tuff 20,00 09/09/2017 34,31 Lady Purchase 63,98 13/09/2017 29,67- Salary 9282 382,14 14/09/2017 352,47 Salary 9004 22 695,98 15/09/2017 23 048,45 Salary 9234 191,07 15/09/2017 23 239,52 IB Transfer to Teboho 2 400,00 15/09/2017 20 839,52 IB Payment to Mike 1 000,00 15/09/2017 19 839,52 IB Payment to Ntsiki 600,00 15/09/2017 19 239,52 Credit Card 2 361,52 15/09/2017 16 878,00 Insurance 9847 500,00 15/09/2017 16 378,00 Insurance 9140 532,75 15/09/2017 15 845,25 STD Bank Bond 5 569,75 15/09/2017 10 275,50 Insurance 9303 801,23 15/09/2017 9 474,27 Pre-Paid Electricity 100,00 16/09/2017 9 374,27 Vehicle repayment 3 168,79 16/09/2017 6 205,48 ##Pre-Paid Electricity … 16/09/2017 6 204,38 Fee Ladies Fitness 289,00 16/09/2017 5 915,38 End NB: Transaction means any debits or credits on the account. IB >Internet Banking Transactions ## These fees are inclusive of VAT at 14% NORTH WEST PROVINCE Page 65

Use the ANNEXURE above to answer the questions that follow. 4.1.1 Write down the name of the account holder. (2) 4.1.2 Determine the total number of TRANSACTIONS made on this account. (2) 41.3 Determine the probability of choosing a transaction made on 15/09/2017. (2) 4.1.4 Calculate the total amount of IB transactions made on this account. (3) 4.1.5 The account holder owed the bank a certain amount on a particular day. Identify the amount that the account holder owed the bank. (2) 4.1.6 Calculate the total amount deposited into this account during the period of the statement. (2) 4.1.7 What percentage of the total amount deposited into this account was paid towards TSD BANK BOND? (3) 4.1.8 Calculate the Pre-Paid Electricity fee on 16/09/2017. (2) 4.2 The table below shows the Emfuleni Local Municipality domestic electricity tariffs during a low season period. TABLE 2: EMFULENI LOCAL MUNICIPALITY DOMESTIC ELECTRICITY TARIFFS (R) FOR 2016/17 Household (All tariffs are 14% VAT exclusive) Block 1 0–50kWh R0,9015 per kWh Block 2 51–350kWh R1,0161 per kWh Block 3 351–600kWh R1,3594 per kWh Block 4 above 600 kWh R1,6314 per kWh [Source: www.emfueni.gov.za] 4.2.1 Show with calculations, the amount paid for using 400 kWh of electricity. (4) 4.2.2 Calculate the amount (to two decimal places) for a customer who used 183,9745 kWh of electricity in Block 3. (3) 4.3 Miss Diale managed to save R20 000 and decided to invest it for two years compounded annually, at an interest rate of 7,73% for the first year and 7,98% for the second year. Calculate the total amount she will receive at the end of the investment period. (5) NORTH WEST PROVINCE Page 66

QUESTION 5 Mr Tana, a 42-year-old man works for the local Municipality and earns an annual salary of R476 012,28. His deductions are as follows: PAYE: .................... Pension Fund : R2 975,08 Gymnasium : R129,42 Insurance policies : R585,00 Use the tax table below to answer the questions that follow. Tax TABLE 2 for 2015/2016 INCOME TAX: Individuals and trusts Tax rates (year of assessment ending 29 February 2016) Taxable Income (R) Rate(s) of Tax 0 – 181 900 18% of taxable income 181 901 – 284 100 32 742 + 26% of each R above 181 900 284 101 – 393 200 59 314 + 31% of each R above 284 100 393 201 – 550 100 93 135 + 36% of each R above 393 200 550 101 – 701 300 149 619 + 39% of each R above 550 100 701 301 + 208 587 + 41% of each R above 701 300 Rebates Primary rebate (taxpayers under 65) R13 257 Secondary (Persons 65 and older) R7 407 Tertiary (Persons 75 and older) R2 466 Age Tax Threshold Below age 65 R73 650 Age 65 to below 75 R114 800 Age 75 and over R128 500 [Source: www.sars.gov.za] 5.1 Determine the number of tax brackets available in the tax table above. (2) 5.2 Calculate Mr Tana‟s monthly gross salary. (2) 5.3 Using the tax tables, calculate the total monthly tax that will be deducted from Mr Tana‟s salary. (5) 5.4 Calculate Mr Tana‟s contribution towards Pension Fund as a percentage of his monthly gross salary. (2) 5.5 Explain the meaning of the concept tax threshold. (2) 5.6 Tana‟s uncle who is working at the bakery.He is 66 years old and earns a salary a gross salary of R 15 850 per month.Calculatehis monthly income tax. (6) [10] NORTH WEST PROVINCE Page 67

DATA HANDLING AND PROBABILITY DATA HANDLING GLOSSARY TERMS MEANING B Bar graph 90° graph using bars to show frequencies (horizontal and vertical graph), the vertical heights of a set of bars of equal breath represent the values of the dependant variable in a data set. Box-and-whisker Diagram that statisticians use to show the distribution of data along a number plot line divided into quartiles. C Certain Definitely going to happen e.g. getting heads or tails when tossing a coin is certain. Classify Identify the type or class. Compound events Two or more events that happen; e.g. tossing a coin and rolling a dice. Contingency table A two-way table representing the outcomes of an event. Continuous data Numerical data (measurements like weight or age). D Data Information, series of observations, measurements, facts; collection and recording of information for statistical investigation. Data collection Two-column table showing what is observed and how many times it was sheet observed; items of information. Discrete Separate; distinct; opposite of continuous. Discrete data Numerical data (fixed numbers like size of family). Data that can have only certain values (quantities that can be counted, usually whole numbers). E Equivalent Quantities that have the same value. Estimate Roughly work out; roughly calculate. Even Chances of any outcome happening are equal; if a normal six-sided dice is rolled, the chance that any one of the numbers 1,2,3,4,5 or 6 could show is the same. Event An activity e.g. rolling a single dice. F Fifty-fifty (even) Chances of something happening or not happening are the same. outcome Frequency (f) Number of times a data value is recorded. Frequency table Table showing frequencies in organised form. Table summarising the frequencies of all the data values in a data set. G Group Put into classes, sort, arrange, organise. H Histogram 90° graph using adjacent bars to show frequencies of either continuous numerical data or discrete numerical data with many different values. Areas of rectangles (continues; no gaps between them) show frequency of classes of data (breadth 5 class; height 5 frequency). Horizontal bar 90° bar graph using horizontal bars to compare or rank items like household graph sizes in a block of flats. NORTH WEST PROVINCE Page 68

I Impossible No chance of the outcome happening e.g. getting a 7 with an ordinary six- outcome sided dice. Interview Record data by talking to someone face to face or over the telephone. Investigate Examine; look into; study. L Likely/likelihood Chance of something happening is greater than the chance of it not happening. M Mean Average of the values in a data set; sum of all the observed values divided by the number of observations. Mean [of a set of Average; sum of all data values divided by the number of data values. data] Measures of central Numbers that tell more about the balance (middle values) in a data set (mode; tendency median; mean). Measures of spread Numbers that tell how far data values in a data set lie apart; spread of numerical data set (range, quartiles, and percentiles). Median Middle value in an ordered data set. Median [of a set of Value that cuts an ordered data set in half. data] Mode Value or values appearing most often in a data set. Mode of a set of Most common data value in a data set. data N Notation System of figures/symbols to represent numbers, quantities or values. O Observation Recording of data by watching someone or something closely. Outcome Result of a trial (experiment). Outcome [fair] All outcomes are equally likely to occur. Outliers Data value that lies an abnormal distance from the other data values in the data set. P Population Entire source of data involved in an investigation; all the subjects included in a study or survey in order to draw conclusions about that population as a whole. Possible outcome The chance that the event will happen or occur. Prediction Statement describing the chance of an outcome to happen based on given information. Probability Results of trial or experiment expressed as a fraction: number of favourable [mathematical] outcomes divided by number of all possible outcomes. Probability [of an Likelihood of a particular outcome occurring, expressed as a number between outcome] zero and one. Q Quartiles The values that divide a list of numbers into four equal parts. Questionnaire List of questions that can be used to collect data. R Range [of a data Difference between the highest and lowest values in a data set. set] Related [data sets] Linked; connected. Represent[data] Draw; graph. NORTH WEST PROVINCE Page 69

Representative Sample likely to give results similar to those obtained from studying the whole sample population. S Sample Subset (small group) chosen from the population to represent the population. Sampling Choosing a representative sample. Sort Put, organise into categories. Survey Collect data from a group of people or objects. Survey [biased] Survey containing factors that produce answers that do not represent a truthful picture of the situation. T Tree diagram Diagram using branches to display all the outcomes of a series of trials. Two-way table A contingency table representing all possible outcomes of two trials taking place together. U Unlikely Chance of something happening is less than the chance of it not happening. V Variable A quantity that can take different values in a situation. Vertical bar graph 900 bar graph using vertical bars to show change over time at discrete times like absentees per day for three weeks. Very likely Chance of something happening is much greater than chance of it not happening. Very unlikely Chance of something not happening is much greater than the chance of it happening. QUESTION 1 The teacher at Nkwe high school recorded the Mathematical Literacy test marks of 15 learners in her classroom. 36; 25; 29; 30; 42; 35; 15; 36;28; 36; 34; 23; 47; 40; 19 Use the marks given above to answer the questions that follow 1.1 Arrange the marks in ascending order. (2) 1.2 Identify the minimum and the maximum mark of the test (2) 1.3 Calculate the range mark. (2) 1.4 Determine the modal mark. (2) 1.5 Determine the median mark. (2) 1.6 Calculate the mean mark. (2) NORTH WEST PROVINCE Page 70

QUESTION 2 Average speed cameras are very common on South African national roads. A group of friends compared their number of traffic tickets from 2016 to 2018 to check the demerit points they would have accumulated. . The table below shows the statistics of a group of friend who were comparing their number of traffic tickets from 2016 to 2018. TABLE 1: Number of traffic ticket Name 2016 - 2018 Keith 2 Nomonde 5 Lerato 8 Thabo 7 Nelson 3 Tumi 15 Sophy 1 Aletta 4 Philly 4 Lenah 6 David 0 TOTAL 55 Use the above information to answer the questions that follow. 2.1 Calculate the following measures of central tendency: 2.1.1 Range (2) 2.1.2 Mean (3) 2.1.3 Mode (2) 2.2 Name a person who is a careful driver and justify your answer. (3) 2.3 Give ONE reason why drivers are given traffic tickets, except for over speeding. (2) NORTH WEST PROVINCE Page 71

[12] QUESTION 3 Learners competed in the Mathematical Literacy Olympiad. The following single bar graph represents the percentage mark scored by each learner. Percentage mark scored by each learner 100 90 Percentage mark scores 80 70 60 50 40 80 30 60 56 60 52 20 40 44 44 10 20 0 1 2 3 4 5 6 7 8 9 10 Learners Use the above information to answer the questions that follow. 3.1 Is the percentage mark scores a discrete or continuous data. Explain your answer. (3) 3.2 Learner 1 claims that all of them have passed during the Olympiad. Is the claim correct? Justify your answer. (3) 3.3 Determine the percentage mark for Learner 6. (2) 3.4 Determine the probability (as a decimal) of learners with a percentage mark score of more than 50%. (3) 3.5 Calculate the median percentage mark score. (3) 3.6 Give ONE reason why the learners participated in the Olympiad? (2) [16] NORTH WEST PROVINCE Page 72

QUESTION 4 The box-and-whisker diagrams representing 30 learners‟ performance in the two tests of Mathematical Literacy Grade 10 with a total mark of 24 are shown below. The arranged test 2 marks of the Grade 10 learners are given below: 3 7 7 8 8 9 9 10 10 11 11 11 12 12 B 12 13 14 14 15 15 15 M 16 17 18 19 20 20 21 Use the information above to answer questions that follow. 4.1 Is the data given discrete or continuous? Justify your answer. (2) 4.2 Determine the number of learners who performed below the lower quartile in test 1. (2) 4.3 Identify the measure of central tendency that is the same for both tests. (2) 4.4 Calculate the interquartile range for test 1. (2) 4.5 Use the median to calculate the value of B. (2) 4.6 Given that the mean mark for test 2 is 12,8. Calculate the value of M. (4) 4.7 The departmental head states that it was not necessary for the teacher to give test 2 to the learners since there is no improvement. Do you agree with the departmental head? Justify your answer. (3) [17] NORTH WEST PROVINCE Page 73

QUESTION 5 Mrs Bush wanted to encourage Mr Bush to drive carefully while on holiday. She showed him some statistics which represents the number of accidents occurring across South Africa. The statistics are reflected in TABLE1. TABLE 1: STATISTICS OF ROAD ACCIDENTS FROM 1 DECEMBER TO 11 JANUARY PROVINCES Year TOTAL GP KZ-N WC EC FS MP NW LP NC RSA 2015/2016 246 308 122 227 131 159 108 186 A 1535 2016/2017 271 B 162 278 157 184 136 208 57 C Difference 25 -6 40 51 26 25 28 22 9 220 [www.arrivealive.co.za] Use TABLE 1 to answer the following questions. 5.1 Calculate the value of A. (2) 5.2 Determine the value of B. (2) 5.3 Hence determine the value of C. (2) 5.4 Determine the mean number of accidents in 2015/2016. (3) 5.5 Arrange the data in ascending order and use calculations to show that the interquartile range for the accidents reported in the year 2016/2017 for the nine provinces, was 128. (5) 5.6 Determine the median for the difference in road accidents reported. (2) 5.7 What is the probability that the number of accidents for 2016/2017 will drop the following year? (2) 5.8 Use the graph paper on ANSWER SHEET 1 to plot a line graph representing the difference in road accidents reported. (6) NORTH WEST PROVINCE Page 74

5.9 Mr. and Mrs. Bush also visited a restaurant for lunch with their friends. The meals served were: Brown rice (BR) or Porridge (P); then they had a choice of Mutton (M) or Beef stew (BS), served with Greek salad (GR) or Spinach (S). Complete a tree diagram to represent the possible outcomes for the menu on ANSWER SHEET 2. (5) ANSWER SHEET 1 Line graph representing road accident differences Road Accident Differences 60 50 DIFFERENCES IN ROAD ACCIDENTS REPORTED 40 30 20 10 0 -10 GP KZN WC EC FS MP NW LP NC PROVINCES NORTH WEST PROVINCE Page 75

ANSWER SHEET 2 Tree diagram showing different outcomes of the menu OUTCOMES _________ __________ __________ S __________ BR GS __________ BS S __________ GS __________ M S __________ P GS __________ __________ _________ __________ NORTH WEST PROVINCE Page 76

QUESTION 6 Body Mass Index (BMI) is a number calculated from a person‟s mass and height. BMI is plotted on the growth chart to obtain a percentile ranking. BMI- for- age weight status categories and the corresponding percentiles are shown in the following table. Weight Status Classification Weight Status Percentiles range on the growth charts Underweight Less than the 5th percentiles Healthy weight ≥ 5th percentile and < 85th percentile Overweight ≥ 85th percentile and < 965th percentile Obese ≥ percentile A person‟s BMI can be calculated by the following formula: mass BMI (kg/m2) = (height) 2 NB: BMI is a measure to determine the best weight range for a person‟s health. Use the growth chart on the ANNEXURE A, together with the Weight Status Classification and the formula above to answer the questions that follow: 6.1 Determine the weight status of 20 year old girl with a weight of 72 kg and a height of 1,75 meters. (3) 6.2 What is the approximate BMI value for an 18 year old girl positioned on the 50th percentile curve? (2) 6.3 What advice might a medical doctor give a 10 year old girl with a BMI value of 22 kg/m2 . (2) 6.4 A girl with a BMI of 24 kg/m2 is overweight. Determine her age. (2) 6.5 A 15 year old girl is 1, 45 meter tall and weighs 55kg. How much weight would this girl have to lose in order to have a healthy weight status? (4) NORTH WEST PROVINCE Page 77

BMI Chart (Girls Age 2-20) [0 underweight, less than the 5th percentile os [J healthy weight, 5th percentile up to the 85th percentile (D overweight, 85th to less than the 95th percentile [Di obese, equal to or greater than the 95th percentile - 32- 24-4 18- 16- 2-4 stetstititststiti ts atitstitsbstititstetitititsivtits stile atitits 2 3 4 5 6 7 8 9: 0 1 2 129 144 1 «16 ~=«617:« 1180619 BD Age (years) NORTH WEST PROVINCE Page 78

QUESTION 7 The family joined a fitness competition in the hotel they logged in. The participants must have a BMI normal weight. BMI MEANING PERCENTILE POSITION ON GROWTH CHART Below 18,5 Underweight (UW) Less than 5th percentile 18,5 -24,9 Normal Weight (NW) ≥ 5th percentile and < 85th percentile 25 -29,9 Overweight (OW) ≥ 85th and < 95th percentile 30 and above Obese (OB) ≥ 95th percentile The following information was recorded from the participants: Participant A B C D E F G H I Height in metres 1,69 1,53 1,50 1,54 1,67 1,52 1,35 1,53 1,79 Mass 68 46 73 60 67 57 43 40 62 Weight NW NW OB OV NW OW NW UW NW Status(meaning) of BMI 7.1 Justify by calculation that participant H is underweight. You may use the following formula: mass BMI (kg/𝐦𝟐 ) = (2) (height) 2 7.2 Which participants met the criteria for competing? (2) 7.3 What is the range of the mass of the participants who did not qualify? (2) 7.4 Show that the median of the height of qualifying participants is 1,67m. (2) 7.5 Give two possible reasons why people become overweight. (2) 7.6 Use ANNEXURE B to answer the following questions: NORTH WEST PROVINCE Page 79

QUESTION 8 Mathematical Literacy teacher in a Secondary School wanted to use the growth charts in one of his lessons. The growth charts shows the Body Mass Index (BMI) for age percentiles. The weight status in relation to the percentile curves WEIGHT STATUS PERCENTILE RANGE Underweight < 5th percentile Healthy weight ≥ 5th percentile and < 85th percentile At risk of overweight ≥ 85th percentile and < 95th percentile Overweight ≥ 95th percentile weight in kg The following formula may be used where applicable: BMI = (height in m) 2 Use the charts on ANNEXURE to answer the following questions: 8.1 Determine the BMI of a boy who is 13 years old. On which percentile curve is this BMI. Determine the weight status of the boy. (3) 8.2 Determine the age of a girl who has BMI of 21kg/𝑚2 which falls on the 50th percentile. (2) 8.3. What does it mean to have a BMI positioned on the 50th percentile? (2) 8.4 What is the weight status of a girl whose BMI falls between 85th and 95th percentile. What advice would you give to that girl (3) 8.5 One of the boys in the class is 16 years old and 1,7 m tall. On which percentile curve will his BMI be positioned if he weighs 52 000 g? (3) [13] NORTH WEST PROVINCE Page 80

CHARTS ON ANNEXURE CHART 1: Body Mass Index (BMI) for age percentile of girls aged between 2 to 20 years BMI CHART 1: Body Mass Index (BMI) for age percentile of boys aged between 2 to 20 years NORTH WEST PROVINCE Page 81

QUESTION 9 Ms Moseke teaches Mathematical Literacy in two grade 12 classes , each class has 52 learners. She analysed the results of her learners for June examination per question. She analysed the results for question 4 which had a total of 35 marks. Below is an analysis of results TEST RESULTS CLASS 1 CLASS 2 Minimum 4 4 Quartile 1 19 9 Median 23 18 Quartile 3 28 22 Maximum 30 30 Use the table of analysis below to answer the questions that follow. 9.1 Calculate the inter-quartile range of class 2. (2) 9.2 Calculate the range of both classes (2) 9.3 Which class do you think performed better in the question? Justify your answer. (3) 9.4 How many learners from class 1 obtained a mark greater than 28? (3) 9.5 How many learners from class 2 obtained a mark less than 22? (3) NORTH WEST PROVINCE Page 82

QUESTION 10 The school has contracted two companies which assist to renovate the sports field at Pretoria West High School. The box-and-whisker plot below shows information about the monthly salaries of the employees of two construction companies, Conbuild and Modbuild, in thousands. Conbuild has 220 employees and Modbuild has 32 employees. Conbuild company is responsible for constructing the field and Modbuild is responsible for designing and quality assuring the sports field. CONBUILD ___________________________________________________________________ 10 20 30 40 50 60 70 80 90 MODBUILD 10.1 Determine the range of the salaries of each company. (2) 10.2 Find the value of the inter-quartile range of Modbuild Company. (2) 10.3 Which company pays its employees better? Justify your answer. (3) 10.4 How much does the lowest paid employee earn? (2) 10.5 How many employees from Conbuild earn a salary less than R60 000.00? (3) 10.6 How many employees from Modbuild company earn a salary higher than the upper quartile? (3) NORTH WEST PROVINCE Page 83

QUESTION 11 A company that makes coffee is trying out a new flavour. They decide to test it out on a group of people before deciding to sell the new flavour to the shops. The table below shows the information they collected from the group of people. Like flavour Do not like flavour Total Male 27 25 B Gender Female 21 C D Total A 54 E 11.1 Calculate the missing values A to E in the table. (5) 11.2 How many people were surveyed by the company? (2) 11.3 What is the probability that a person surveyed would be a male who would not buy the coffee? Write your answer as percentage, correct to ONE decimal. (3) 11.4 Based on the results of the table, do you think the company should try to sell this flavour of coffee in the shops? Justify your answer. (3) QUESTION 12 12.1 Complete the tree diagram below by using the information above. Give your answer correct to one decimal place where necessary. (3) 12.2 Determine (as a percentage) the probability that it will not rain on Friday or Saturday. (2) NORTH WEST PROVINCE Page 84

QUESTION 13 The bar graph and corresponding table below represent quarterly changes in South African Employment figures from the first quarter in 2008 to the fourth quarter in 2013 QUARTERLY CHANGES IN EMPLOYMENT FROM THE FIRST QUARTER IN 2008 TO THE FOURTH QUARTER IN 2013 Use the graph and the table above to answer the questions that follow. 13.1 Interprete the employment change data for the first quarter in 2008. (2) 13.2 Identify the year during which the greatest number of job losses occurred AND calculate the total number of jobs lost in that year. (5) 13.3 During this period there was only one year during which there was an increase in employment for each quarter for that year. Identify the year AND calculate the mean quarterly increase in employment numbers for that year. (4) 13.4 Determine the number of people employed at the end of March 2013, if 15 million people were employed at the end of December 2013. (3) [14] NORTH WEST PROVINCE Page 85

QUESTION 14 The two economics groups, A and B, AT Mphohadi College of Education compared their September 2014 examination results to see which group performed better. The results of the examination for the two groups are represented by two box and whisker diagrams below: 14.1 Calculate the missing values P and Q, the mean percentage mark of group A is 49,25. (5) 14.2 Calculate the probability of random selecting a learner from group A who obtained a percentage mark of less than 80%. (2) 14.3 Explain which group performed better in the examination if both the medians and the interquartile ranges are compared. (7) [14] NORTH WEST PROVINCE Page 86

QUESTION 15 Violent incidents in South African schools are a national concern. Young persons are as much at risk of being victims of violence at school as they are outside the school. The stacked bar graph below shows the recorded data of the number of times boys and girls committed certain types of violent acts at Metro High School during 2013 Data showing violent incidents at Metro High School during 2013 15.1 Explain, with justification, whether the given data is discrete or continuous. (2) 15.2 Determine how many more boys than girls were involved in violent incidents at Metro High School during 2013. (4) 15.3 Determine the modal violent incident committed by girls at Metro High School during 2013.Explain why this type of incident is the modal violent incident committed by girls. (3) NORTH WEST PROVINCE Page 87

QUESTION 16 Miera's mother insists that she must eat as much fruit and vegetables as possible to stay healthy. Her favourite fruit is apples and her mother buys a 2 kg bag every two weeks. Being a Mathematical Literacy teacher, Miera's mom investigated the sizes of apples in the 2kg bags that she bought over 14 weeks. Her findings are captured in the following table: Number of apples in bag 20 16 18 14 10 15 13 Median mass of apples in gram 72 105 110 125 192 142 174 16.1 What do we call the data as shown in the table? Give a reason for your answer. (2) 16.2 A scatter plot drawn for the data in the table looks as follows: Median mass of apples (in g) 250 200 150 100 50 0 0 5 10 15 20 25 ‘ Number of apples in bag Judge the following statement and indicate whether the statement is TRUE or FALSE. Give a reason for your answer. The smallest apple in the bag has the biggest median mass of all the apples in the bag. (3) NORTH WEST PROVINCE Page 88

QUESTION 17 The comparative bar graph shows the national registration statistics of the population of South Africa for both male and female as at 28 April 2018. NATIONAL REGISTRATION STATISTICS AS AT 28 APRIL 2018 FEMALE AGE MALE GROUP 18 – 19 20–29 30–39 40–49 50–59 60–69 70–79 80+ TOTAL 14 442 779 11 797 561 [Source: www.elections.org.za] Use the graph above and answer the questions that follow. 17.1 Write down the age group in which the second highest number of female voters have registered. (2) 17.2 Calculate the number of male voters under the age of 40 years. (2) 17.3 Write down, in words, the number of female voters in the 40–49 age group. (2) 17.4 State whether the data in the graph is discrete or continuous. (2) 17.5 Calculate the difference between the total number of male and female voters. (2) NORTH WEST PROVINCE Page 89

QUESTION 18 The TWO pie charts below show why and how people in South Africa travel. [Source: www.graphics 24.co.za] Use the TWO pie charts above to answer the questions that follow. 18.1 Calculate the percentage of people whose reason for travel is sport. (2) 18.2 Which mode of transport is used by most people? (2) 18.3 Determine the probability (written as a fraction in its simplest form) of randomly selecting a person whose mode of transportation is travelling by bus. (3) 18.4 A total of 542 267 people took part in this survey. Calculate the number of people who travel to visit family and friends. (2) [9] NORTH WEST PROVINCE Page 90