Maths Lit P1 June 2014 QP hlayiso.com

Downloaded from hlayiso.com Mathematical Literacy P1 1 June 2014 Common Test NSC MATHEMATICAL LITERACY P1 COMMON TEST JUNE 2014 NATIONAL SENIOR CERTIFICATE GRADE 12 MARKS: 100 TIME: 2 Hours This question paper consists of 8 pages and 1 annexure. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy P1 2 June 2014 Common Test NSC INSTRUCTIONS AND INFORMATION 1. This question paper consists of FIVE questions. Answer ALL the questions. 2. Answer Question 3.1.4 on ANNEXURE A. Write your name in the space provided and hand in the ANNEXURE with your answer book. 3. Number the answers correctly according to the numbering system used in this question paper. 4. Start EACH question on a NEW page. 5. An approved calculator (non-programmable and non-graphical) may be used. 6. ALL the calculations must be clearly shown. 7. ALL the final answers must be rounded off to TWO decimal places, unless stated otherwise. 8. Units of measurement must be indicated where applicable. 9. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy P1 3 June 2014 Common Test NSC QUESTION 1 1. Calculate the following: 1.1 Jane and Mandy received a total of R2 600 for the services that they rendered. Jane worked for 12 hours and Mandy worked for 18 hours. (a) Write down Jane’s to Mandy’s (Jane’s:Mandy’s) hours as a ratio in simplest form. (2) (b) Use the ratio calculated above to determine the amount in Rands that Mandy received. (3) 1.2 Convert 8 km to centimetres. Hint: 1km = 1 000m and 1m = 100cm (2) 1.3 A cellphone company charges R2,85 per minute to make a call. Calculate how much will be paid for a 12 minutes call. (2) 1.4 The cost of a queen size bed is R7 999 with 14% VAT (value added tax) included. Calculate VAT exclusive price of the bed. (3) 1.5 Determine how many British pounds can be bought with R8 550 if the exchange rate is = R16,20. Round off your answer correct to two decimal places. (3) 1.6 245 grade 12 learners attended a career exhibition workshop. They will be transported by taxis. A company offers to transport these learners and charges R120 per taxi. Each taxi can carry a maximum of 15 learners. How many taxis are needed to transport learners and how much will the taxi company earn? (5) [20] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy P1 4 June 2014 Common Test NSC QUESTION 2 2.1 Thembi is a manager in a company that manufactures tyres. She is 45 years old. Below is her income and expenditure statement for January. Table 1: Thembi’s income and expenditure statement Gross Income Salary R23 000 Expenses Transport R1 500 Savings R3 000 Rent R3 500 Food (groceries) R3 500 Entertainment R550 Clothes R800 Contract cellphone R389 TOTAL R13 239 2.1.1 Calculate Thembi’s transport expenses as a percentage of the total expenses. (2) 2.1.2 Due to the petrol price increase, Thembi’s transport expenses increased by 3%. Determine Thembi’s new transport expenses. (2) 2.1.3 Calculate Thembi’s gross annual salary. NOTE: She also receives a birthday bonus / 13th cheque which is equal to the monthly salary (2) 2.1.4 Calculate Thembi’s monthly tax using the tax table for 2014/ 2015 tax year below. [Ignore the 13th cheque in this calculation] (6) Table 2: Tax table for individuals 2014/2015 Taxable income (R) Rates of tax 0 – 174 550 18% of each R1 174 551 – 272 700 31 419 + 25% of the amount above 174 550 272 701 – 377 450 55 957 + 30% of the amount above 272 700 377 451 – 528 100 87 832 + 35% of the amount above 377 450 528 001 – 673 100 140 074 + 38% of the amount above 528 100 673 101 and above 195 212 + 40% of the amount above 673 100 TAX REBATES FOR INDIVIDUALS Primary rebate R12 726 Secondary rebate ( for persons 65 years and older) R7 110 Tertiary rebate (for persons 75 years and older) R2 367 TAX THRESHOLDS Persons under 65 years R70 700 Persons 65 years and older R110 200 Persons 75 years and older R123 350 www.sars.gov.za Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy P1 5 June 2014 Common Test NSC 2.2 Thembi requires the following ingredients to make instant custard tarts. 2 cups milk, 2 tablespoons melted butter, 2 cups lemon juice and 5 4 cups condensed milk. 5 The above items will be mixed in a plastic measuring jug. If the measuring jug has the capacity of 850 m , will it be enough to hold these liquid ingredients? Use the following table. Table 3: Measurement table Measuring size 1 cup cup 1 tablespoon 1 teaspoon Measurement 250 125 15 m 5m (5) [17] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy P1 6 June 2014 Common Test NSC QUESTION 3 3.1 Vuyo and his friends live in Newcastle. They are invited to attend a wedding ceremony for Mary and Harry. Phase one of the ceremony will take place in Ladysmith and phase two will take place in Durban the following weekend. They make car rental quotations from two different service providers, Billy’s car hire and Joe’s car hire. Billy’s car hire charges a basic fee of R200 and R2, 00 per kilometre travelled or part thereof. Joe’s car hire charges R2, 50 per kilometre travelled or part that of. The distance from Newcastle to Ladysmith is 100km and from Newcastle to Durban is 400km. Table 4: Information on distance and cost for 2 companies. Distance in km 0 50 100 150 ... 400 500 600 700 800 Billy’s car hire cost in 200 300 400 500 ... A 1200 1400 1600 1800 Rands Joe’s car hire cost in Rands 0 125 250 375 ... B 1250 1500 1750 2000 3.1.1 Fill in the missing values of A and B. (4) 3.1.2 Write down an equation to calculate Billy’s car hire cost. (2) 3.1.3 Write down an equation to calculate Joe’s car hire cost. (2) 3.1.4 Use ANNEXURE A to draw TWO line graphs representing Billy’s car hire and Joe’s car hire and label them accordingly. (5) 3.1.5 After how many kilometres will the cost be equal for both companies? (2) 3.1.6 Refer to the table or graphs to answer the following questions The distance between Newcastle and Durban is 400 km. How much will Vuyo and friends pay for the return trip if they hire a car to and from Durban using Joe’s car hire company including fuel costs? NOTE: R100 of fuel allows you to travel 72 km. (6) 3.2 Billy’s car hire company has a fleet (the company owns 30 cars) of 30 cars for hire, 15 white, 5 red, 6 grey and the rest of the cars are blue. (a) What is the probability of hiring a blue car. Express your answer as a percentage. (3) (b) What is the probability of hiring a white car? (2) [26] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy P1 7 June 2014 Common Test NSC QUESTION 4 The sketch given below represents the map of Kangaroo farm. The scale of the map is 1 cm : 200 m. Study the map and answer the questions that follow. 12,5 cm water tank N Entrance 2 cm 9cm 1,5 cm 3 cm House 1 cm SCALE: 1 cm: 200 m 4.1 (a) Use the scale to determine the length of the farm in metres. (2) (b) Use the scale to determine the breadth of the farm in metres. (2) 4.2 Calculate the area of the entire farm in square kilometres (km2). Formula: Area = length breadth (3) 4.3 Calculate the distance (in kilometres) from the entrance to the house. Hint: 1 km: 1 000 m (2) 4.4 Give the general direction to the water tank from the house? (2) 4.5 Calculate the volume (in m3) of the water tank if it has a diameter of 600cm and a height of 40m. (4) Formula: Volume of a cylinder = π r2h use π = 3,142 [15] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy P1 8 June 2014 Common Test NSC QUESTION 5 Ms Manana is a Mathematical Literacy teacher at Fundakahle High school. Her learners wrote a test out of hundred and obtained the following marks. Study the given data and answer the questions that follow. Learners / Students’ marks 63 46 55 59 56 69 41 50 52 55 40 85 83 57 49 65 60 68 70 58 5.1 Calculate the five number summary (minimum, maximum, Quartile1, Quartile 2 and Quartile 3) for the above data. (6) 5.2 Calculate the mean (average) of the above data. (2) 5.3 Determine the modal mark. (2) 5.4 Calculate the range of the marks. (2) 5.5 Calculate the interquartile range of the marks. (3) 5.6 Below is a box and whisker plot for Tourism test marks of the learners at Fundakahle High School. A B C D E 40 45 50 55 60 65 70 75 80 85 5.6.1 Give the values for each of the letters A, B, C, D and E (5) 5.6.2 Calculate the range for Tourism test marks. (2) [22] TOTAL MARKS: [100] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy P1 9 June 2014 Common Test NSC ANNEXURE A: QUESTION 3.1.4 NAME______________________ Graph showing Billy’s and Joe’s car rental costs 1 600 1 400 1 200 PLEASE TEAR ON DOTTED LINE 1 000 Amount in Rands 800 600 400 200 0 100 200 300 400 500 600 700 800 Number of kilometres travelled Copyright reserved Please turn over