MATHS LIT P2 GR12 QP JUNE 2024_English_hlayiso.com_.pdf

NATIONAL SENIOR CERTIFICATE GRADE 12 JUNE 2024 MATHEMATICAL LITERACY P2 MARKS: 100 TIME: 2 hours This question paper consists of 13 pages and an addendum with 2 annexures.

2 MATHEMATICAL LITERACY P2 (EC/JUNE 2024) INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Use the ANNEXURES in the ADDENDUM to answer the following questions: • ANNEXURE A for QUESTION 1.3 • ANNEXURE B for QUESTION 2.2 3. Number the answers correctly according to the numbering system used in this question paper. 4. Start EACH question on a NEW page. 5. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. 6. Show ALL calculations clearly. 7. Round off ALL final answers appropriately according to the given context, unless stated otherwise. 8. Indicate units of measurement, where applicable. 9. Maps and diagrams are NOT necessarily drawn to scale, unless stated otherwise. 10. Write neatly and legibly. Copyright reserved Please turn over

(EC/JUNE 2024) MATHEMATICAL LITERACY P2 3 QUESTION 1 1.1 Uncle James bought a house and decided to do some renovations to the lounge area. He plans to change one of the walls in this room. Below is the wall he plans to change. Height = 2,1 m Length = 370 cm Use the information above to answer the questions that follow. 1.1.1 Define the term perimeter. (2) 1.1.2 Convert the length of the wall to metres. (2) 1.1.3 Calculate the perimeter of the wall. You may use the following formula: P = length + length + height + height (2) 1.2 Jameson will win a club cycling trophy if he is able to log at least 600 km of cycling distance in a seven-month period. He cycles as follows: • The Vineyard Race in February (75 miles) • The Ocean-to-Ocean Race in March (114,3 km) • The Karoo Fun Race in April (271 km) and • The Charity Fun Sprint (148,1 km) was his last participation in June. NOTE: 1 km = 0,6214 miles 1.2.1 Calculate, in km, the distance he cycled in the Vineyard Race. (2) 1.2.2 Hence, determine the total distance logged by Jameson throughout the period. Give your answer in kilometre (km). (2) Copyright reserved Please turn over

4 MATHEMATICAL LITERACY P2 (EC/JUNE 2024) 1.3 The route map of the Medihelp Stellenbosch Cycle tour is shown in ANNEXURE A. Use ANNEXURE A to answer the questions that follow. 1.3.1 Name ONE town that is situated directly on the route. (2) 1.3.2 How many water points are available on the Medihelp Stellenbosch Cycle tour? (2) 1.3.3 Which national road crosses the route? (2) 1.3.4 In which general direction is Stellenbosch from Pniel? (2) 1.3.5 Identify the mountain pass situated on the route. (2) [20] Copyright reserved Please turn over

(EC/JUNE 2024) MATHEMATICAL LITERACY P2 5 QUESTION 2 2.1 Mr Salters travelled from East London to Johannesburg, via Bloemfontein, to deliver boxes of seed. The map below shows the national roads of South Africa. [Adapted from https://images.google.co.za] Use the map above to answer the questions that follow. 2.1.1 Identify the type of scale used on the map. (2) 2.1.2 Name only TWO national roads that Mr Salters will travel on from East London to Johannesburg via Bloemfontein. (2) 2.1.3 Write down the general directions that a person will travel from Cape Town to Garies, and from Garies to Upington. (2) Copyright reserved Please turn over

6 MATHEMATICAL LITERACY P2 (EC/JUNE 2024) 2.1.4 Mr Salters’ wife wishes to visit Walvis Bay in Namibia during the December holidays. Mr Salters comments that she would need a passport to go to Walvis Bay. Give a reason why his wife will need a passport to visit Walvis Bay. (2) 2.1.5 The fuel tank of Mr Salters’ vehicle has a capacity of 75 litres. He claims that it will cost him 4% more if he fills his car inland, instead of at the coast. NOTE: Fuel cost: ➢ Inland: R22,49 ➢ Coastal: R21,77 [Source: AA Petrol price January 2024] Verify, with the necessary calculations, whether his claim is valid or not. (5) 2.2 The Kruger National Park is a popular tourist destination. Some information about the park is given below: The speed limit inside the park is: • 50 km/h on tarred roads • 40 km/h on gravel roads Gate times: • Entrance gates open at 05:30 • Camp gates open at 04:30 • All gates close at 18:30 ANNEXURE B shows a part of a map of the Kruger National Park and TABLE 2 shows the distances between camps and gates. Use the information above and ANNEXURE B to answer the questions that follow. 2.2.1 Give ONE possible reason why there are specific times for the opening and closing of gates at the park. (2) 2.2.2 Determine the difference in the number of main camps and other camps on this part of the map. (2) 2.2.3 If Odwa leaves Skukuza at 17:15 and leaves the park through the Numbi Gate, determine the time that he will reach the Numbi Gate. The following formula may be used: Distance = speed × time NOTE: The distance on the gravel road is the same as the distance on the tarred road. (5) 2.2.4 Give a possible reason why most people visiting the park prefer to travel on the gravel roads, instead of the tarred roads. (2) [24] Copyright reserved Please turn over

(EC/JUNE 2024) MATHEMATICAL LITERACY P2 7 QUESTION 3 3.1 In a Mathematical Literacy classroom, a teacher keeps coloured pencils in three identical cylindrical containers. These pencils remain in the containers until they are used or lost. Below is an example of an image of the container with the coloured pencils and the diagram of the cylindrical container. (Diagram NOT drawn to scale.) Example of image of container Diagram of cylindrical container with coloured pencils with dimensions Diameter = 83 mm Height = 22 cm 3.1.1 The diameter of one of the coloured pencils is 6 mm and the length is 16,7 cm. Verify, with the necessary calculations, that 39 coloured pencils can fit into THREE of the cylindrical containers. (9) 3.1.2 The teacher packs some of the coloured pencils as follows in each of the containers: 3 pink, 2 black, 2 purple and 3 orange pencils. Calculate the probability that if a coloured pencil is taken from ALL the containers, it will be a purple pencil. Give your final answer to THREE decimal places. (3) Copyright reserved Please turn over

8 MATHEMATICAL LITERACY P2 (EC/JUNE 2024) 3.2 Invitation cards for a party are in a rectangular shape, with a circular photo of the birthday girl in the middle of the invitation card. An example of the invitation card is given below and a diagram with dimensions. Example of image of invitation Diagram of invitation card with without photo dimensions 3.2.1 (a) Calculate the area of the rectangular invitation card to the nearest mm2. You may use the following formula: Area of a rectangle = length × width (3) (b) Hence, calculate the area of the rectangular invitation card without the photo to the nearest mm2. You may use the following formula: Area of circle = π × radius2. Use π = 3,142 (4) Copyright reserved Please turn over

(EC/JUNE 2024) MATHEMATICAL LITERACY P2 9 3.2.2 One of the guests buys a gift that is packaged in a rectangular box as shown below. She must wrap the gift box with wrapping paper. Dimensions of the box are: Length = 38,8 cm Width = 27,5 cm Height = 30 cm Calculate the total surface area in cm2 of the paper that is needed to wrap the gift box. You may use the following formula: Total Surface Area of gift box = 2 (length × width) + 2 (width × height) + 2 (length × height) (4) Copyright reserved Please turn over

10 MATHEMATICAL LITERACY P2 (EC/JUNE 2024) 3.3 Electricity has become a scarce resource in South Africa. As a result, the country is investigating alternative sources of generating electricity. One alternative source of generating electricity is a wind turbine using rotating blades as shown in the picture and diagram below. Image of wind turbine Diagram of wind turbine The wind turbine is mounted on the top of a 50 m high tower. The length of each blade is 31 m. 3.3.1 Determine the length of the diameter of the circle that the blades create as they rotate. (2) 3.3.2 Calculate the maximum height from the ground to the tip of a blade if the turbine is rotating. (2) 3.3.3 Calculate the circumference of the circle made by the blades when it rotates twice. You may use the following formula: Circumference = 2 × π × radius, using π = 3,142 (2) 3.3.4 Suppose each household requires 25 kWh of electricity daily. If one wind turbine produces 1 750 kWh of electricity daily, calculate how many households could be provided with electricity daily from one such turbine. (2) Copyright reserved Please turn over

(EC/JUNE 2024) MATHEMATICAL LITERACY P2 11 3.4 Sandra washes her dishes by hand three times daily in TWO identical cylindrical basins. She uses one basin for washing the dishes and the other for rinsing it. Each basin has a radius of 30 cm and a depth of 45 cm, as shown in the diagram below. Cylindrical basin with dimensions Dimensions: Radius = 30 cm Height = 45 cm 30 cm 30 cm 45 cm Sandra fills each basin to three quarters (¾) of its capacity whenever she washes or rinses the dishes. Calculate how much water (in litres) she will use daily to wash and rinse dishes by hand. (NOTE: 1 000 cm3 = 1 litre) You may use the following formula: Volume = π × r2 × h, use π = 3,142 (5) [36] Copyright reserved Please turn over

12 MATHEMATICAL LITERACY P2 (EC/JUNE 2024) QUESTION 4 4.1 Mr and Mrs Thana went shopping in Phuket, Thailand on Friday and checked into a hotel afterwards at 15:30. They departed from the hotel the following Tuesday at 10:00. They bought a small cylindrical gift box for their daughter to keep her earrings and hair accessories in, as shown below. d Dimensions: Diameter = 10 cm Height = 20 cm NOTE: Area of a circle = 3,142 × radius2 Volume of a cylinder = 3,142 × radius2 × height [Source: www.google.com] 4.1.1 Verify, with the necessary calculations that the total number of hours that Mr and Mrs Thana stayed in the hotel was less than 90 hours. (5) 4.1.2 The volume of their daughter’s cylindrical gift box is 1 571 cm3 with a diameter of 10 cm. Calculate the height of the cylindrical gift box. (4) 4.1.3 The top and the bottom of the cylindrical gift box is made of a special type of wood that costs R144,65/m2. Calculate the total cost of the wood to make the top and the bottom of the cylindrical gift box, if the area of the top is 78,55 cm2. (5) Copyright reserved Please turn over

(EC/JUNE 2024) MATHEMATICAL LITERACY P2 13 4.2 Ms Harker asked a builder to draw a scale drawing of a proposed renovation to her house. The floor plan of the proposed renovation is shown below. N 4.2.1 The measured length of the main bedroom is 3,4 cm. Use the given scale to calculate the actual length of the main bedroom. (2) 4.2.2 What is the probability of selecting a door that opens to the eastern side? (2) 4.2.3 Given that the house is situated in South Africa, explain which room you think will get the most sun. (2) [20] TOTAL: 100 Copyright reserved Please turn over