M.LIT March QP Memo 2016

Basic Education KwaZulu-Natal Department of Basic Education REPUBLIC OF SOUTH AFRICA MATHEMATICAL LITERACY ‘ | COMMON TEST a MARCH 2016 4 MARKS: 100 TIME: 2 hours This question paper consists of 11 pages. Copyright reserved Please turn over

Mathematical Literacy P2 Downloaded from hlayiso,gQm, Common Test NSC INSTRUCTIONS AND INFORMATION 1. This question paper consists of FIVE questions. Answer ALL the questions. 2. Number the answers correctly according to the numbering system used in this question paper. 3. Start EACH question on a NEW page. 4, An approved calculator (non-programmable and non-graphical) may, be used, unless stated otherwise. : 5. ALL the calculations must be clearly shown. 6. ALL the final answers must be rounded off to TWO decimal places, unless stated otherwise. ‘ 7. Units of measurement must be indicated where applicable. ( ) » 8 Write neatly and legibly. Copyright reserved . Please turn over

Mathematical Literacy NSC QUESTION 1 Mrs Coetzee teaches Mathematical Literacy in three grade 12 classes (12A, 12B and 12C) the learners in three classes. The box and whisker plots below represent the marks as percentages for the classes. There are 30 learners in 12A, 25 learners in 12B and 22 in 12C. Refer to graph and answer the questions that follow. at Newtown High School. She administered the class test and analysed the performance of Qa Q 0; 12A [— . Q @ Q3 i) 2B /—— Q Q Q3 12C 1. | } | 40 50 00 70 8 (marks in %) 100 or 2. —_ Ee — a eo, Ss 1.1. Estimate the median for 12A. 1.2. From which class is the top learner? - 1.3. Which of the three classes had the best test performance? Justify your answer. 1.4. Determine the interquartile range for 12B. 1.5 Determine the number of learners who got less than 70% ina test in 12B? ° 1.6 Between which marks is the middle 50% of grade 12C learners? 1.7. Mrs Coetzee told her HOD that 50 out of 77 learners achieved more than 40% in the test. Is Mrs Coetzee correct? Verify her argument by calculating the total number of learners who obtained more than 40% in the test. Downloaded from hlayiso. Coren 2016 common Test (6) [20] Copyright reserved Please turn over

Mathematical Literacy P2 QUESTION 2 NSC Downloaded from hlayisO,GQM« common test Mrs Makhaye has a’ single door fridge in her kitchen and she wants to-replace it with a double door fridge. She saw the advertisement of the fridge from Game Stores catalogue and planned to. buy it cash. She started saving money for five years to buy the fridge. The bank gives her two quotations which have a growth rate of 5,3% per annum. © Source www. gamestores.co.za Table 2: Quotations on two types of investment from a bank Year 0 1 2 3 4 5 Investment A | R8 000,00 | R8 424,00 | R8 848,00 | R9 272,00 | A R10 120,00 Investment B | R8 000,00 | R8 424,00 | R8 870,47 |R9 340,61 | R9 835,66 B ( j 2.1 Identify the type of interests represented by investments A and B and justify answer. (4) 2.2 Calculate the missing values of A and B. (4) 2.3 Is it wise for Mrs Makhaye to invest for a fridge for 5 years? Justify your answer (2) : Copyright reserved Please turn over

Downloaded from hlayiso.Comrcn 2016 common Test NSC Mathematical Literacy 2.4 Mr Simon Makhaye works at Fusion Chain Stores. According to law employees must contribute 1% of the basic salary to the UIF and the employer also contributes likewise. However, there is a UIF threshold which stipulates the maximum contribution by the employer or employee. In October 2012, the Minister of Finance Mr Pravin Gordhan adjusted UIF threshold from R124.78 to R147.82 per month. FUSION CHAIN STORES PAYSLIP er Employee: Simon Makhaye Pay Period: Fanuary 2016. Position: Manager ; Se | ae Oa 1D number: 750928 $753 084 ay Cycle: Monthly ; “Bank Details: Ole! Mutual Bank ae Account Number: 9056207255 Tax Number: 3093013331 Barnings "S ‘Amount : Deductions . Amount, Basic Salary | 13 000,00 | Tax ~TR2 700,00 | Gross Barings RIS 060,00 : Total Deductions ape | ~ “Net salary —— ne | 2.4.1. Ifthe Fusion Chain stores has 32 employees earning the basic salary similar to Simon Makhaye, how much more is the total employer's new annual contribution to UIF as from 2012? (4) 2.4.2 Show by calculations that Mr Simon Makhaye's net salary (excluding bonuses and other allowances) is R12 152.18 per month. (4) 2.4.3 By what percentage was the UIF threshold increased in 2012? (3) [24] Copyright reserved Please turn over

Mathematical Literacy P2 NSC QUESTION 3 3.1 3.2 3.3 3.4 Copyright reserved Downloaded from hlayiSO,GQMs common Test Mr Botha is a renting a vending stall in Wimbledon (London) selling pies and pastry. The following table shows the cost (in South African Rands) of making these products, ~ TABLE 4: INGREDIENTS Item Price Quantity needed | to make 8 pies: 4 heaped. plain flour | R75.95/10kg | tablespoons of ; | flour (10g) beef R49,95/kg | 800g 1 whole nutmeg, RS5.95/g 1 gram large | R8.99for 8 2 carrots carrots carrots : 1 R42 for 30 2 eovs large egg eggs ge red onions |.Free. 2 grams button : mushrooms R4,50/500g | 250g Source: http: www.jamieoliver.com/recipes/ Determine the cost of eggs to make 8 pies. During the tournament, Mr Botha makes hundreds of pies. Therefore, he uses ml to measure the flour instead of tablespoons. Determine how many mi of flour will he get from a bag of 10kg if 15ml=9g (Round off you answer to a nearest millilitres) Determine the total cost of making ONE pie. Mr Botha was advised at the training that the main factor that affects the profit is the number of workers employed. He was given the following formula to calculate the number of workers for his business. Profit(per month) = R50 (30 - number of workers”) TABLE 5: WORKERS AS AGAINST PROFIT Number of workers 0 1 2 | see B 8 Profit / Month (in Rands) | 1500 | A | 1300]... 250 | -1700 3.4.1 Use the suggested formula to calculate the values of: (a) A (b) B 3.4.2 Provide the possible reason why Mr Botha must keep workers to a minimum. Q) 2) (2) (3) (2) Please turn over

C ) Mathematical Literacy 3.5. The severe drought that is affecting South Africa has forced municipalities to a adjust water tariffs. The following water tariff structure is for Chris Hani District Municipality. TABLE 6: WATER TARIFF STRUCTURE FOR CHRIS HANI NSC DISTRICT MUNICIPALITY Number of kl Rate per kl (excluding VAT) : November 2015 1 0 to6 R8.66 2 7 to 15 R10.07 3 16 to 30 R12.28 4 31 to 45 R15,29 5 46 to 60 R16.70 6 Above 60 R18.85 3.5.1 Calculate the cost (including VAT) for consuming 30 kl of water in November 2015. 3.5.2. Mr Botha was shocked when he received a water bill of R1 204.16 (including VAT) in December 2015. Determine how many k] of water Source: www.chrishanidm.gov.za did he use in December. Copyright reserved ownloaded from hlayiso.cony,,, 216 common Test (A) (6) [28] Please turn over

Mathematical Literacy P2 Downloaded from hlayiso.@amis Common Test ' NSC ; QUESTION 4 The Wimbledon Tennis Championship hosted by All England Lawn Tennis Club attracts thousands of spectators from all over the world. Figure 1; Men's Final Figure 2: Women's Final Entrance ticket prices have doubled each year due to the number of spectators who wish to watch this tournament. In 2015. ticket prices were as follows: ( \ CENTRE COURT £GBP 12 DAYS Monday 29 / Tuesday 30 June 50 3"? & 4" DAY | Wednesday 01 / Thursday 02 July [65 : Friday 03 / Saturday 04 July ; 84 Monday 06 / Tuesday 07 July 98 Wednesday 08/ Thursday 09 July 119 Friday 10 / Saturday 11 July 133 FINAL DAY Sunday 12 July 160 £GBP = Great British Pound www.britishtennis.com/tickets/wprices. Copyright reserved Please turn over -

Pownloaded from hlayiso.com .... ommon test NSC Mathematical Literacy 4.1 By what percentage did the ticket price increase from first day to the last day? (2) 4.2 Some wealthy people and businesses buy debentures which are tickets for Centre and Number One Courts. NOTE: Debentures are tickets bought for five years and allow holders to attend matches for the entire 10 days of the tournament. (a) In 2015 they were sold at £3 185.19 each and total of £46,3 million was generated. Determine how many debentures were sold. (3) (b) | The Wimbledon market department claims that the entrance fee to final matches is half the normal ticket price. Verify the validity of this claim. (5) (c) Provide an advantage and a disadvantage of buying tickets using this method. (4) 4.3 The wall clock in Figure 2 shows the time in which the match was being played and 0:41 indicates duration of the match in minutes. Estimate the time this match started. Q) [16] Copyright reserved Please turn over

Mathematical Literacy P2 QUESTION 5 NSC Downloaded from hlayiso.QQnaie common test teaching experience, questions. Ms Kubheka is a teacher at Hopewell High School. She is 53 years old and has 30 years Her monthly basic salary is R28 375,00 and has a housing | allowance of R900,00 per month. She contributes 7,5% of the basic salary towards her pension fund. She gets the bonus (13" cheque) which is equal to the monthly basic salary. The tax for the bonus is spread equally over twelve months, She contributes towards medical aid fund and has three dependants. Use table 7 to answer the following TABLE7: INCOME TAX: INDIVIVUALS AND TRUSTS 2015/2016 Taxable income (R) | Rate of Tax (R) Tax bracket 0-181 900 18% of taxable income 1 181 901 — 284 100. 32 742 + 26% of taxable income above 181 900 2 284 101 — 393 200 59 314+ 31% of taxable income above 284 100 3 393 201 -550 100 93 135+ 36% of taxable income above 393 200 4 550.101 — 701300 149 619+ 39% of taxable income above 550 100 5 701 301 and above 208 587+ 41% of taxable income above 701 300 6 TAX REBATES Primary R13 257 Secondary (Persons 65 and older) R7 407 Tertiary . (Persons 75 and older) R2.466 TAX THRESHOLDS AGE TAX THRESHOLD Below age 65 R70 700 Age 65 to below 75 R114 800 Age 75 and over R128 500 MEDICAL TAX CREDIT RATES 2015/2016 YEAR OF ASSESSMENT R270 per month for the taxpayer paying the medical scheme contributions R270 per-month for the first dependant R181 per month for each additional dependant (s) Source: www.sars.gov.za 5.1 Ms Kubheka's gross monthly salary is R29 275.00. Determine how it was calculated. (2) 5.2. Calculate Ms Kubheka’s monthly pension fund contribution. Copyright reserved @) Please turn over ©)

Downloaded from hlayiso.comM,, 2516 common Test NSC Mathematical Literacy P.: 5.3 Determine Ms Kubheka’s annual taxable income including the bonus. NOTE: Annual taxable income = (Annual gross salary — annual pension fund contribution) + bonus (4) 5.4 Use the tax rates table given above to determine the monthly tax payable by Ms Kubheka. NOTE: Annual tax payable = annual tax calculated- rebates ~ medical tax credits. (7) [15] TOTAL: 100 Copyright reserved | | | | |

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