NATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 2 (NSC11-02) D B

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1 MATHIG211 NATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 2 (NSC11-02) D B TIME: 14H00 15H30 TOTAL: 75 MARKS DURATION: 1½ HOURS DATE: 10 JUNE 2013 This question paper consists of 9 pages. ICG 1 NSC Grade 11

2 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions: 1. Write your answers in your answer book, which is provided in the exam. 2. Read the instructions carefully for each question and answer only what is required. 3. Begin with the question for which you think you'll get the best marks. 4. Number the answers correctly according to the numbering system used in this question paper. 5. The mark allocation of each question will determine the length of your answer. Give enough facts to earn the marks allocated. Don't waste time by giving more information than required. 6. Please write neatly we cannot mark illegible handwriting. 7. Start the answer for each question on a NEW page, for example Question 1 new page, Question 2 new page. 8. Non-programmable calculators and appropriate mathematical instruments may be used. 9. Any student caught cheating will have his or her examination paper and notes confiscated. The College will take disciplinary measures to protect the integrity of these examinations. 10. If there is something wrong with or missing from your question paper or your answer book, please inform your invigilator immediately. If you do not inform your invigilator about a problem, the College will not be able to rectify it afterwards, and your marks cannot be adjusted to allow for the problem. 11. This question paper may be removed from the examination hall after the examination has taken place. This question paper consists of FIVE questions. Answer ALL the questions. QUESTION MARKS TOTAL MARKS: 75 NOTE: An Addendum has been attached at the back of the question paper (refer to Question 2.1.4). Fill in your name and student number in the appropriate spaces, detach from your question paper and hand in with your answer book. ICG 2 NSC Grade 11

3 ANSWER ALL THE QUESTIONS (75 MARKS) QUESTION Content information on the label of a jar of peanut butter is as follows: Per 100 g Total fat Sodium Calcium Magnesium Potassium 48 g 217 mg 54 mg 158 mg 609 mg Calculate the total mass of Potassium, Sodium, Calcium and Magnesium and express it as a percentage. (3) Calculate the amount of fat in two tablespoons, 32 g, of peanut butter. Round off to ONE decimal place. (2) 1.2 The label of a wine bottle indicates that the amount of alcohol is 12,5% per volume. If the volume of wine in the bottle is 750 ml how much of it is alcohol? (2) 1.3 A car travels 300 km in two hours and 50 minutes. What is its speed in km/h? Round off to the nearest kilometre. (3) 1.4 Laundry detergent on a supermarket shelf is priced as follows: 1 R18,00; 19,80; and 2,5 R33,50. Which one is the best buy? (2) If the R / $ exchange rate is R8,75, what is the price in dollars of an article valued at R385? (2) If 1 pound is 450 g, convert 75 pounds to kg. (3) [17] ICG 3 NSC Grade 11

4 QUESTION Below is the billing plans of a cellular phone company: BILLING PLANS FOR CELLULAR PHONE COMPANY Basic charge Number of free Charge per minute per month minutes per month Plan 1 R100 0 R0,50 Plan 2 R R0,50 (after free minutes have been used) Mr Belonki has to choose one of the billing plans above for his cellular phone. He estimates that he will use the phone between 100 and 180 minutes per month If he chooses Plan 1 and uses the phone for exactly 100 minutes in one month, what will his bill be for that month? (2) Write an equation for his total Bill (B) for any number of minutes (m) if he chooses Plan 1. (2) Supply the missing information in the table below for the different monthly billings for Plan 1 and Plan 2 for between 0 and 180 minutes of usage. Minutes Plan 1 R100 R110 R120 A B R170 R180 R190 Plan 2 R150 C R150 R150 R150 R160 D R Use the grid on Addendum A to construct graphs for Plan 1 and Plan 2. Name the two graphs clearly. (8) Find the number of minutes of phone use for which the two plans cost the same you can use your graph or table or do a calculation. (2) [18] (4) ICG 4 NSC Grade 11

5 QUESTION 3 The graph below shows the journey of a family between Cape Town and Springbok. The trip started at 11h50 and shows the distances and time it took to complete the trip. Use the graph to answer the questions that follow: Time in hours 3.1 Between which two towns did the family drive the slowest? (2) 3.2 In which town did the family stop to have a rest and eat something? Give a reason for your answer. (2) 3.3 How far is Bitterfontein from Springbok to the nearest 100? (2) 3.4 At what time did the family arrive in Springbok? (2) 3.5 Calculate the average speed of the family s trip. (4) [12] ICG 5 NSC Grade 11

6 QUESTION The advertisement below shows the monthly repayments on loans: STRUGGLING TO MEET YOUR DEBT? Cash loans available from R500 to R months to repay Monthly repayment table Loan amount Monthly repayment over 6 months R500 R108,50 R1 000 R217,00 R4 000 R R5 000 R1 085,00 R8 000 R1 736, Would you pay the same interest rate when you take a loan of R500 and a loan of R4 000? Show ALL your calculations and give the values correct to ONE decimal place. (5) Calculate your monthly repayments if you take a loan of R with this company. (4) Do you think it is a good idea to take a loan with this company? Motivate your answer. (2) 4.2 Sello wants to borrow R He has two options: A. He can borrow the money from his bank at 18% interest per annum compounded monthly for three years OR B. He can borrow the money from his uncle Lesepho with a repayment option of the loan plus 20% simple interest over three years Calculate the amount Sello has to repay according to option A, using the following formula: A = P(1 + i) n where: A = the final amount; P = the amount borrowed; i = the interest rate; and n = the period (5) ICG 6 NSC Grade 11

7 4.2.2 Calculate the amount Sello has to repay according to option B, using the following formula: A = P(1 + in) (3) [19] QUESTION 5 A family of four are planning a trip from Cape Town to Plettenberg Bay. The questions below refer to their calculations around this trip. They are using the map and the scale below to calculate / estimate distances and directions for their journey. Source: Estimate, using the scale at the bottom of the map, the distance between George and Knysna (1) If the distance between Cape Town and George on the map is 122 mm and the map is drawn on a scale of 1 : calculate the distance in km. (Round your answer to the nearest 10.) (3) If they drive at 100 km/h (stops included) how long will they take to get to George? Give the answer in hours and minutes. (3) An old road marking along the route indicates the distance between Mossel Bay and George as being equal to 24 miles. What is this distance in km if 1 mile = 1,60917 km. (2) [9] GRAND TOTAL: 75 MARKS ICG 7 NSC Grade 11

8 FOR YOUR NOTES ICG 8 NSC Grade 11

9 ADDENDUM GRADE 11 MATHEMATICAL LITERACY PAPER 2 (UF-55) I B Detach and hand in with your answer book NAME: STUDENT NUMBER: QUESTION ICG 9 NSC Grade 11