Maths Lit Practice exam November Paper 2 Gr11

Study & Master Support Pack 2 | Grade 11 CAPS Mathematical Literacy Exemplar examination: November (Paper 2) This revision pack for Mathematical Literacy Grade 11 provides support for learners revising the most important concepts and principles covered in the CAPS curriculum, by providing practice exams. This revision pack includes a sample November examination (Paper 2). You have permission to print or photocopy this document, and to distribute it electronically via email or WhatsApp. For more information on our Study & Master CAPS-approved textbooks and valuable resource material, visit www.cambridge.org Brighter Thinking | Better Learning

Grade 11 NOVEMBER Time: 2,5 hours Paper 2 EXAMINATION Marks: 100 Question 1 1. A group of colleagues in a company want to organise a car pool so that they can travel together to help reduce traffic congestion. The estimated cost per person is shown in the graph. Estimated monthly travel costs 270 260 250 240 230 220 210 200 190 180 170 160 Cost per person (R) 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 0 0 1 2 3 4 5 6 Number of people per car a) What is the monthly transport cost if there is one person in the car? (1) b) How much would each person pay per month if there were two people in the car? (1) c) If each person has to pay R50 per month, how many people travel in the car? (1) d) Explain what happens to the travelling cost per person if the number of people in the car increases. (2) 2. Kim, Thato and Joe work together in an office block. They decide to travel to work together in Kim’s car. The following map shows part of the town where the three colleagues live and work. The scale of the map is 1 : 20 000. 1

Bumba Avenue Second Avenue First Avenue Kim’s Joe’s house house Sports field Police Station Main Road Municipality Office block Bumba Avenue Second Avenue First Avenue Manu’s house Thato’s house Zwemba Drive Adapted from: North, M (2006) Mathematical Literacy a) Describe the shortest route that Kim can take to pick up Thato and Joe on the way to work. (3) b) Kim, Thato and Joe go to the sports field after work to train for the company relay. If the dimensions of the sports field on the map are 21 mm by 35 mm, determine the dimensions of the sports field in metres. (4) 3. Kim parks the car in a parking garage at the office block. The table shows the cost for parking in a given time period. Parking tariffs Number of hours Cost 0 to 1 hours Free 1 to 3 hours R4,00 3 to 5 hours R6,00 5 to 7 hours R8,00 7 to 9 hours R10,00 More that 9 hours R12,00 Saturdays before 13:00 R5,00 Sundays and public holidays Free a) On Monday, Kim arrives at the parking garage at 07:50 and leaves at 17:15. How much does she pay for parking? (2) 2

b) On Tuesday, Kim arrives at 08:01 and leaves at 08:45 for a meeting. She returns to work at 12:15 and leaves again at 17:30. How much does she pay in total for parking on Tuesday? (2) c) On Wednesday, Kim parks in the parking garage. She is charged R8,00 for parking between 08:45 and 13:25. Use the table of parking tariffs to determine if this is correct. Show all your calculations and give a reason for your answer. (3) [19] Question 2 Mrs Madondo has a diploma in small business management. She owns a take-away shop. The shop has two rooms: a kitchen at the back and a room at the front where customers are served. The dimensions of the two rooms are shown on the diagram. 4m 3m Kitchen Door Front of 5m shop Front door 1. Eight years ago, Mrs Madondo inherited R120 000. She invested this money in a bank for eight years at 9% compounded annually. She used this investment to set up her take-away shop. Use the formula, A = P(1 + i)n to calculate the amount of money she had accumulated by the end of eight years. (4) 2. Mrs Madondo decided to paint the inside walls of the customer area of the shop, but not the kitchen. The walls of the shop are 3 m high. a) The area of the front door is 9 m2. The dimensions of the door leading to the kitchen are 0,8 m by 2,04 m. Calculate the inside surface area of the walls that will be painted. (5) b) One 5 ℓ tin of paint will cover an area of 36 m2. How many 5 ℓ tins of paint must Mrs Madondo buy so that two coats can be painted on the walls in the customer area of the shop? (4) c) Mrs Madondo also wants to tile the floor. The tiles and the labour to lay the tiles cost R32,50 per square metre (m2). i) Determine the cost of tiling the floor of the kitchen. (3) ii) Determine the total cost of tiling the floor of both the kitchen and the front of the shop (customer area) (4) 3

3. Mrs Madondo wants to paste a strip of decoration around the door leading to the kitchen. This decoration must be 10 cm away from the door frame. How many metres of decoration must she buy? (4) 10 cm 0,8 m Decoration around the door 2,04 m 10 cm Door 4. Mrs Madondo cooks rice in a large cylindrical pot. The pot is 32 cm deep and it has a diameter of 50 cm. 50 cm 32 cm a) How many litres of water can the pot hold? Use the formula, V = πr 2h with 3,14 as π and 1 cm3 = 1 ml. (4) b) When cooking rice, 625 ml water is needed for each cup of rice (1 cup of rice = 250 ml). The pot should be filled to a maximum of ​​ _4 ​​of its depth so that it does not boil over. What is the maximum 3 number of cups of rice Mrs Madondo can cook in the pot? Give your answer in full cups. (6)  [34] Question 3 Mr Van Niekerk teaches two Grade 11 Mathematical Literacy classes with 30 learners in each class. He gave the two classes the same test. The marks out of 100 for the two classes are given in the tables. Marks for Grade 11A (out of 100) 18 25 31 36 44 44 44 46 49 50 51 51 55 56 58 58 59 61 63 65 65 67 67 69 75 80 82 82 87 92 Marks for Grade 11B (out of 100) 11 26 30 30 30 33 35 36 39 41 41 41 45 58 59 60 60 61 62 64 66 67 69 70 72 75 79 80 85 98 4

1. Mr Van Niekerk wanted to compare the marks for the two classes to find which class performed better in the test. a) Calculate the median marks for each class. (4) b) Calculate the mean mark for each class, rounded off to one decimal place. (4) c) Which class has a smaller range of marks? (3) d) Calculate the percentage of learners in each class who scored a mark of 50 or below. (4) e) Use your calculations in questions 1a– d and work out which class performed better in this test. Give reasons for your answer. (3) 2. What is the probability of the following? a) A learner chosen at random from Grade 11A will score a mark of 44 (write this answer as a decimal number). (3) b) A learner chosen at random from Grade 11A will score a mark below 99. (2) c) A learner chosen at random from Grade 11B will score a mark above 99. (2) 3. If the marks of the two classes are combined, what is the probability that a learner chosen at random will score a mark of 60? Write your answer as a percentage. (4)  [29] Question 4 Rafique is a sales representative who sells bedding and curtains to shops. Every month he makes many business calls on his cellphone. He needs to upgrade his cellphone contract and he has to choose between two options – a business contract or the pay-as-you-use option. With the business contract, he would pay a monthly subscription fee of R190 and R1,50 for each peak-call minute. This can also be called a prepaid contract. With the pay-as-you-use option, he would not pay a monthly subscription, but he would pay R2,50 for each peak-call minute. Business contract Pay-as-you-use Free minutes None None Monthly subscription R190 per month None Call rates R1,50 per minute (or R2,50 per minute (or part thereof) part thereof) 1. Explain why the equation C = 190 + 1,50t represents the total monthly cost (C ) in rand for calls made using the business contract for a given period of time (t) in minutes. (2) 2. Write down an equation in the form: C = … to represent Rafique’s total monthly cost (C ) in rand for calls using the prepaid option for a given amount of time (t) in minutes. (2) 3. Calculate the cost of Rafique’s calls on the prepaid option if the total for these calls is 72 minutes and 12 seconds. (3) 5

4. The table lists the costs (R) of the two cellphone options. Use the table to draw two graphs on the set of axes provided in Annexure A on page 175. Label the two graphs clearly. (5) Number of minutes 0 50 100 150 200 250 Business contract (A) 190 265 340 415 490 565 Pay-as-you-use (B) 0 125 250 375 500 625 5. Use your graphs to answer the following questions. a) What is the cost in rand at the break-even point? (2) b) After how many calls will it be cheaper for Rafique to have a contract than to use the pre-paid option? (2) 6. Rafique and his colleague, Melokuhle, draw graphs to illustrate their sales in 2016, 2017 and 2018. Which sales representative achieved better sales over these three years? Give a reason for your answer. (2) Rafique’s total sales in 2016, Melokuhle's total sales in 2016, 2017 and 2018 2017 and 2018 6 5 Profit ((R) thousands) Profit ((R) thousands) 5 4 4 3 3 2 2 1 1 0 2016 2017 2018 2016 2017 2018 Year Year [18] 6

Annexure A Question 4: 4 Cost of cellphone calls 630 620 610 600 590 580 570 560 550 540 530 520 510 500 490 480 470 460 450 440 430 420 410 400 390 380 370 360 350 340 330 Cost (R) 320 310 300 290 280 270 260 250 240 230 220 210 200 190 180 170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 0 0 50 100 150 200 250 300 Time (minutes) 7