MATHIG111 NATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 1 (NSC11-02) D10055656-4-A TIME: 09H00 10H30 TOTAL: 75 MARKS DURATION: 1½ HOURS DATE: 10 JUNE 2013 This question paper consists of 10 pages. ICG 1 NSC Grade 11
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. Except where otherwise instructed, give your answers in full sentences. 6. 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. 7. Please write neatly we cannot mark illegible handwriting. 8. Start the answer for each question on a NEW page, for example Question 1 new page, Question 2 new page. 9. You may use a non-programmable, non-scientific calculator and appropriate mathematical instruments. 10. 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. 11. 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. 12. 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 1 20 2 16 3 17 4 16 5 6 TOTAL MARKS: 75 NOTE: The following Addenda are attached at the end of the question paper: 1. Addendum A Conversion Table 2. Addendum B Grid for use with Question 3.6. 3. Addendum C Grid for use with Question 5.1.1B Fill in your name and student number in the spaces provided on Addenda B and C, detach from your question paper when completed and insert them into the back of your answer book. ICG 2 NSC Grade 11
ANSWER ALL THE QUESTIONS (75 MARKS) QUESTION 1 1.1 Soul CD is having a sale. All CDs are reduced by 18% and all DVDs are marked down by a ⅓. Calculate the following: 1.1.1 If CDs were marked at R180, how much will you pay for them while they are on sale? (3) 1.1.2 If all DVDs were R210, calculate what their sale price will be. (2) 1.2 During the holidays Peter spent 2½ hours gardening. He spent 50 minutes mowing the lawn, 30 minutes trimming the edges, 45 minutes weeding and the remainder of the time watering the flowers. What fraction of the time (in percentage form) did Peter spend: 1.2.1 mowing the lawn? (2) 1.2.2 watering the flowers? (2) 1.3 Naledi has been asked to bake 80 blueberry muffins for a school function. After looking in all her recipe books she found the following recipe: Blueberry Muffins (makes 30) Flour Baking Powder Blueberries Cooking Oil Milk 750 g 30 ml 375 g 60 ml 600 ml To assist Naledi, calculate how much she needs of the following to make the 80 muffins required (convert final answers to kg): 1.3.1 Flour (2) 1.3.2 Blueberries (2) ICG 3 NSC Grade 11
1.4 The mothers of two teenagers calculate their daughters' Body Mass Index annually. Jane who lives and grew up in London weighs 92 pounds and is 58½ inches tall, while Naledi who lives and grew up in Soweto weighs 49 kg and is 1,65 metres tall. Both are 15 years old. 1.4.1 Use the conversion table in Addendum A to calculate Jane's height in metres, correct to THREE decimal places. (2) 1.4.2 Use the conversion table in Addendum A to calculate Naledi's weight in pounds. (2) 1.4.3 Calculate Jane's BMI (body mass index) correct to ONE decimal place using the formula given below. mass in kg Formula : Body Mass Index (BMI) = ( ) 2 height in m (3) [20] QUESTION 2 2.1 Use the tax table given below to calculate the amount of tax paid by a company executive who earned R850 000 in the tax year 2010 / 2011. Taxable income (rands) Income tax tables for the tax year 2010/2011 0 140 000 18% of each R1 Tax rates 140 001 221 000 R25 200 + 25% of the amount over R140 000 221 001 305 000 R45 450 + 30% of the amount over R221 000 305 001 431 000 R70 650 + 35% of the amount over R305 000 431 001 552 000 R114 750 + 38% of the amount over R431 000 552 001 and over R160 730 + 40% of the amount over R552 000 2.2 The petrol price was R3,81 per litre in 2003. The price in 2006 was R6,38 per litre. Calculate the percentage increase since 2003. Round off to TWO decimal places. (3) 2.3 Josiah buys a taxi costing R150 000 at an interest rate of 10% per annum, compounded yearly. Calculate the amount of interest he will pay on the taxi, if he pays off the taxi after five years. Use the formulas A = P(1+ r) n and I = A P (4) (4) ICG 4 NSC Grade 11
2.4 The monthly operating costs of Josiah's taxi business for June 2012 are listed as follows: Petrol Taxi maintenance Insurance Carwash Taxi association fee Helper / driver's wages R1 200 per month R150 per month R300 per month R45 per month R180 per month R1 000 per month 2.4.1 List two expenses (costs) which can be regarded as variable expenses (2) 2.4.2 If his monthly income is R8 025, calculate his total profit after expenses have been deducted. (Use the formula: profit = income expenses). (3) [16] QUESTION 3 The tables below shows the cost and income of Jabulani's coffee tables, a company manufacturing wooden coffee tables. No of tables made 0 1 2 3 4 5 6 8 10 Total cost (R) 2 100 2 250 2 400 2 550 2 700 2 850 3 000 3 300 3 600 No of tables sold 0 1 2 3 4 5 6 8 10 Total income (R) 0 450 900 1 350 1 800 2 250 2 700 3 600 4 500 3.1 What are Jabulani's minimum fixed expenses before any coffee tables have been made? (1) 3.2 How much does it cost, excluding the minimum fixed expenses, to manufacture one table? (1) 3.3 What is the selling price of one table? (1) 3.4 3.4.1 How many tables must be manufactured for income to exceed cost (expenses)? (1) 3.4.2 What do we call income that exceeds expenses? (1) 3.5 3.5.1 How many tables must be manufactured for income to equal expenses? (1) 3.5.2 What do we call the situation where income equals expenses? (1) 3.6 Use the grid provided in Addendum B to draw a graph showing Jabulani's expenses and a graph showing Jabulani's income. Label your graphs clearly. (7) 3.7 How much profit will the company make if 20 tables are manufactured and sold? (3) [17] ICG 5 NSC Grade 11
QUESTION 4 4.1 Study the map of the Free State province below and answer the questions that follow: A B C D 1 2 3 4 4.1.1 If the grid reference for Winburg is given as B2, give the grid reference for Bethlehem. (1) 4.1.2 You travel from Bloemfontein to Bethlehem: A. In which general direction would you be travelling? (1) B. Use the scale of the map (1 : 1 250 000) to calculate the actual distance in kilometres along the road (N1 and N5) if the distance on the map between Bloemfontein and Bethlehem is 21 cm. (Remember 1 km = 100 000 cm) (4) C. If you drive at 100 km/h, how long will the journey take you? Give your answer in hours and minutes. (3) 4.1.3 If the price of petrol is R8 per litre and it costs R360 to fill up your tank, what is the capacity of your tank? (2) ICG 6 NSC Grade 11
4.1.4 If the car can travel 100 km on 7,5 litres: A. how far can the car travel on a full tank of petrol? (3) B. how many litres of petrol will be used for the trip to Bethlehem? (Round off your answer to the nearest whole number.) (2) [16] QUESTION 5 5.1 The Wimbledon tennis championship starts with 128 players in each of the men's and women's draws. During each round half the players left in that round are eliminated. 5.1.1 A. Copy and complete the table below: Rounds 1 2 3 4 5 Number of players left 128 64 (1) B. Draw a graph to represent the data. (Use the grid in Addendum C.) (3) 5.1.2 In which round will the final take place? (1) 5.1.3 Does this graph show exponential increase or exponential decrease? (1) [6] GRAND TOTAL: 75 MARKS ICG 7 NSC Grade 11
ADDENDUM A CONVERSION TABLE 1 ounce = 28,35 grams 1 gram = 0,0352 1 pound = 0,4536 kilograms 1 kilogram = 2,2045 pounds 1 inch = 0,0254 metres 1 centimetre = 0,3937 inches 1 foot = 0,3048 metres 1 metre = 3,2808 feet 1 yard = 0,9144 metres 1 metre = 1,0936 yards ICG 8 NSC Grade 11
ADDENDUM B GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 1 Detach from your question paper and insert in the back of your Answer Book. NAME: STUDENT NUMBER: QUESTION 3.6 RANDS 3600 3450 3300 3150 3000 2850 2700 2550 2400 2250 2100 1950 1800 1650 1500 1350 1200 1050 900 750 600 450 300 150 0 0 1 2 3 4 5 6 7 8 9 10 NUMBER OF TABLES (7) ICG 9 NSC Grade 11
ADDENDUM C GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 1 Detach from your question paper and insert in the back of your Answer Book. NAME: STUDENT NUMBER: QUESTION 5.1.1B NUMBER OF PLAYERS 128 124 120 116 112 108 104 100 96 92 88 84 80 76 72 68 64 60 56 52 48 44 40 36 32 28 24 20 16 12 8 4 0 1 2 3 4 5 6 7 ROUNDS ICG 10 NSC Grade 11