Mathematical Literacy Grade 12 P2 November 2024 NSC QP (Eng)

Confidential | “mae basic education hig y)) Department: WO) Basic Education | LS REPUBLIC OF SOUTH AFRICA Lt Ns NATIONAL SENIOR CERTIFICATE GRADE 12 cine cn i en eo, | aii S t MATHEMATICAL LITERACY P2 fi ii ly nu i NOVEMBER 2024 " MARKS: 150 TIME: 3 hours This question paper consists of 13 pages and an addendum with 3 annexures. Copyright reserved Please turn over

Mathematical Literacy/P2 2 DBE/November 2024 NSC Confidential INSTRUCTIONS AND INFORMATION 1. 2. 10. This question paper consists of FIVE questions. Answer ALL the questions. Use the ANNEXURES in the ADDENDUM to answer the following questions: e ANNEXURE A for QUESTION 2.1 ANNEXURE B for QUESTION 2.2 ANNEXURE C for QUESTION 5 Number the answers correctly according to the numbering system used in this question paper. Start EACH question on a NEW page. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. Show ALL calculations clearly. Round off ALL final answers appropriately according to the given context, unless stated otherwise. Indicate units of measurement, where applicable. Maps and diagrams are NOT drawn to scale, unless stated otherwise. Write neatly and legibly. Copyright reserved Please turn over

Mathematical Literacy/P2 3 DBE/November 2024 NSC Confidential QUESTION 1 1.1 TABLE 1 below contains a list of explanations and definitions of concepts used in Mathematical Literacy. . TABLE 1: EXPLANATIONS AND DEFINITIONS OF CONCEPTS A measuring system using metres, litres and kilograms The amount of space occupied by an object A system measuring in inches, gallons and pounds The amount of space available to hold something The side of a building you see when you are facing south The side of a building you see when you are facing north OQ) th) O) OO] w) > The amount of space that is enclosed by the perimeter of an object Use TABLE 1 above and match an explanation or a definition with EACH of the concepts below. Write only the letter (A—G) next to the question numbers (1.1.1 to 1.1.4), e.g. 1.1.5 H. 1.1.1 Capacity 1.1.2 North elevation 1.1.3 Imperial system 1.1.4 Area 1.2 Paving bricks are available in different shapes and sizes. Hexagonal paving bricks are made up of 6 equal triangles and will be used to cover a rectangular ground surface. SEDTCH OF DIMENSIONS OF THE | THREE BRICKS eee PAVING BRICK INA ROW PAVING BRICK Equal side lengths (L) = 90 mm Height (H) = 50 mm Width (W) = 220 mm [Source: econbrick.co.za Use the information above to answer the questions that follow. 1.2.1 Convert 220 mm to metres. (2) 1.2.2 Choose, from the options (A, B or C) below, the correct one that could be used to calculate the volume of the hexagonal paving brick. A Volume = 6 area of triangle x height B Volume = side length + height + width Cc Volume = 6 x perimeter x height (2) 1.2.3 Calculate the number of bricks needed for a single row along a length of 2 860 mm. G3) Copyright reserved Please turn over (2) (2) Q) @)

Mathematical Literacy/P2 4 DBE/November 2024 NSC Confidential 1.3 The fold-up chair is a beach chair that folds into itself. A 3D sketch, a side view, a material list, the assembled chair and a folded-up chair are shown below. 3D SKETCH OF FOLD-UP CHAIR | SIDE VIEW OF FOLD-UP CHAIR Crosspiece CHAIR BACK ee —— 1.27 cm spacing / ~ y CHAIR SEAT i " a 4 5 Z \ Crosspiece - aa | Chair support MATERIAL LIST ASSEMBLED CHAIR AND FOLDED-UP CHAIR # Wooden Item Dimensions (in em) 4 Chair supports 1,9 x 3,8 x 66 13 | Crosspieces 1,9 x 3,8 x 36 1 | Seat back, bottom 1,9 x 3,8 x 32 crosspiece NOTE: e The thickness of the wood is the smallest dimension. e #is the number of item(s). [Adapted from instructables.com] Use the information above to answer the questions that follow. 1.3.1 Write down the total number of wooden items needed to assemble this chair. (2) 1.3.2 Determine the number of crosspieces found on the seats of THREE chairs. (3) 1.3.3 Name the item in the material list with the longest dimension. (2) 1.3.4 Identify which dimension of the chair support will represent the thickness of the wood. (2) 1.3.5 Write down, in millimetres, the length of the spacing between the crosspieces of the back of the chair. (2) [26] Copyright reserved Please turn over

Mathematical Literacy/P2 QUESTION 2 5 DBE/November 2024 NSC Confidential 2.1 John and five other family members decided to participate in the Baviaanskloof Leopard Trail Run. They decided to camp at the Baviaanskloof Uitspan camping site. ANNEXURE A shows an aerial view of Baviaanskloof Uitspan with campsites and the number of campers allowed. Some campsites have one hut and others have more than one hut, labelled A, B and C. Use ANNEXURE A and the information above to answer the questions that follow. 2.1.1 2.1.2 2.1.3 2.14 2.1.5 Copyright reserved Explain what is meant by aerial view. Calculate the maximum number of campers that can be accommodated at Baviaanskloof Uitspan camping site. Determine the general direction of the dam from campsite 8. The description below is found on their website: 'This campsite is situated near the dam and can accommodate a maximum of 19 campers." Write down which campsite is being described. Write down only the number of the campsite. Calculate, as a percentage, the probability of John and his family randomly selecting a hut that can exactly accommodate the whole family. The layout plan below shows the ablution facilities (toilets and showers) in the middle of campsites 3, 4, 5 and 6. The actual length of the ablution facilities is 8,2 metres. LAYOUT PLAN OF THE ABLUTION FACILITIES aw |e ALR TR RY RT RTS bis f Shower | [ Toilet | [ “ Q giigiglaiia|ig)|— ill Use the information above to answer the questions that follow. (a) Write down the total number of showers. (b) Determine, rounded to the nearest whole number, the scale of the plan. (c) Give ONE suitable reason why benches are found in the ablution facilities. Please turn over (2) (3) (2) (2) (3) Q) (4) (2)

Mathematical Literacy/P2 6 DBE/November 2024 2.2 NSC Confidential The Leopard Trail Run is a two-day event, run on the outskirts of the camp, starting and ending at the Cedar Falls Home Base. ANNEXURE B shows the map as well as the elevation map of the Leopard Trail Run in the Baviaanskloof situated close to Willowmore. Visitors to the Baviaanskloof can also do a four-day hike, starting at the Cedar Falls Home Base. NOTE: e Day 1 of the trail run is Days 3 and 4 of the hike. e Day 2 of the trail run is Days 1 and 2 of the hike. e Trail (path through the natural landscape) [Adapted from gobaviaans.co.za] Use ANNEXURE B and the information above to answer the questions that follow. 2.2.1 Write down the day during the run when you would pass Gabriel's Pools. 2.2.2 The descriptions of a part of the route on the brochure are as follows: e Run for 5,5 km along Rhebok Valley. e Continue down the other side to the Reflection Pools for a swim and drinking water. e Then return to the home base. Choose the route described above and match it with A, B, C or D. Write only the letter next to the question number (2.2.2). A Leopard Trail Run — Day 1 (Part 1) B Leopard Trail Run — Day 1 (Part 2) C Leopard Trail Run - Day 2 (Part 1) D Leopard Trail Run — Day 2 (Part 2) 2.2.3 Determine the number of kilometres John had run when he reached the highest point above sea level on Day 2. 2.2.4 John's best average speed (in km/h) for the run was his average speed from the 8 km mark up to the 18 km mark on Day 1. Use the elevation map to explain why this was the case. 2.2.5 John stated that on Day 2, while he was running from the 17,5 km mark to the end of the trail, he had moved more than 100 metres closer to sea level. Show, by means of calculations, whether or not he is correct. Copyright reserved Please turn over (2) 2) (2) 2) (3) Bi

Mathematical Literacy/P2 7 DBE/November 2024 NSC Confidential QUESTION 3 3.1 Mrs Kgomo is a Grade 2 teacher at Happy Valley Primary School. She has a reading corner at the back of her classroom. Learners who wait for their transport after school, usually sit there and read a book. Mrs Kgomo stores pillows in bags (see pictures below). Learners sit on these pillows after school. DIMENSIONS OF THE BAG = NOTE: Piping: thin cord covered in fabric used to decorate the bag and reinforce the seams [Adapted from www.shein.com] Use the information above to answer the questions that follow. 3.1.1 The school day ends at 12:55. Tendani's father was late and only came to fetch him at 14:13. Determine how long Tendani sat in the reading corner. (2) 3.1.2 The height of one pillow is 11 cm. Determine the difference between the total height of the pillows in ONE bag and the height of the bag. (4) 3.1.3 The piping around the bottom edge of some of the bags for the pillows needs to be replaced. The store sells the piping in half-metre lengths. Calculate the total length of piping she will have to purchase to replace the piping around the bottom edges of FOUR bags. You may use the following formula: Perimeter = 2 (length + width) (5) Copyright reserved Please tum over

Mathematical Literacy/P2 8 DBE/November 2024 NSC Confidential 3.2 Mrs Kgomo created a birthday calendar for her 2024 class to hang against the wall. She will write each learner's name and birthday on a small circular wooden tag and attach the tag to the correct month. The circular wooden tag has a circular hole to attach a ring that is used to hang the tag. The area of the circular hole is 0,3142 cm?. Every year she paints the front surface area of the circular wooden tags. The spread rate of the paint is 6 m?/€. PICTURE AND DIAGRAM OF A CIRCULAR WOODEN TAG Circular Se” hole Annette s oO 6 April = > 8om [Adapted from www.amazon.com] Use the information above to answer the questions that follow. 3.2.1 3.2.2 3.2.3 Copyright reserved Determine, in cm, the circumference of the circular wooden tag. You may use the following formula: Circumference of a circle = 3,142 x diameter (2) Determine, in cm, the radius of ONE circular wooden tag. (2) The hardware store sells paint in 50 m€, 1 litre, 5 litre and 20 litre containers. Mrs Kgomo claims that a 50 m€ can of paint will be sufficient to paint ONE side of 36 circular wooden tags. Verify her statement. Show ALL calculations. Use the following formula: Area of a circle = 3,142 x radius” (9) Please turn over

Mathematical Literacy/P2 9 NSC Confidential DBE/November 2024 3.3 On each learner's birthday, the learner receives a cubic-shaped packet of homemade sweets, as shown in the diagram and picture below. DIAGRAM AND PICTURE OF A CUBE AND A CUBIC-SHAPED PACKET [Adapted from www.pinterest.com] Use the diagram above to answer the questions that follow. 3.3.1 3.3.2 Copyright reserved The volume of the cubic-shaped packet is 2 744 cm’. Calculate the side length of the cubic-shaped packet. You may use the following formula: Volume of a cube = side * side x side There are 35 different coloured sweets in each packet. TABLE 2 below shows the number of sweets per colour. TABLE 2: NUMBER OF SWEETS PER COLOUR COLOUR OF SWEETS _| NUMBER OF SWEETS Blue 4 Purple 5 Pink 8 Orange 11 Yellow 7 Determine the probability, as a decimal, of randomly choosing a pink or a yellow sweet from the packet. Please turn over (4) (3) [31]

Mathematical Literacy/P2 10 DBE/November 2024 NSC Confidential QUESTION 4 4.1 Crude oil is heated in a vertical, cylindrical tower to separate and extract products, such as petroleum gas, gasoline (petrol), kerosene (lamp oil), diesel, industrial oil, and paraffin wax, which boil at different temperatures. CYLINDRICAL TOWER SHOWING DIAGRAM OF A VERTICAL, DIFFERENT PRODUCTS AND THEIR CYLINDRICAL TOWER BOILING TEMPERATURES (20°C~= Petroleum gas 150°C Extractor, |. "en Se pipes r= Gasoline (petrol) 200 °C sock Kerosene (lamp oil) 300 °C B 54m $ EEE. Diesel 370 °C EEE Industrial oil 400°C \¢ F Paraffin wax it 6m > ‘urnace [Adapted from http://derivfx.com] NOTE: e Extraction occurs because different liquids have different boiling points. e Extraction takes place in a large, vertical, cylindrical tower with a diameter of 6m. ¢ The total surface area of sections (A + C) = 150,816 m2. Use the information above to answer the questions that follow. 41 Identify the crude oil product that will be third to boil. (2): 4.1.2 Write down the product extracted at 150 °C. (2) 4.1.3 Convert the boiling point of diesel to degrees Fahrenheit. Use the formula: °C = eS (4) 4.1.4 The pipes leading in and out of the vertical, cylindrical tower take up 2,5% of the surface area of part B of the cylindrical tower. Calculate the total surface area of the vertical, cylindrical tower, excluding the area taken up by the pipes. Use the formula: Surface area of an open cylinder = 3,142 x diameter x height (7) Copyright reserved Please turn over

Mathematical Literacy/P2 11 DBE/November 2024 NSC Confidential 4.2 A worker at the oil refinery intends converting her double-door garage into a bigger living room by building double-bricked walls to replace both of the doors. PICTURE OF TWO DOORS BRICKS ON A WOODEN TO BE REPLACED PALLET INCOMPLETE DIAGRAM SHOWING THE PATTERN OF HOW THE BRICKS ae kl ied an SHOULD BE LAID, WITH THE SrA FIRST TWO ROWS COMPLETED i ws I i t I I I I i” ii i hl i i i i i L 1 i I I I I T I T I I I I I I NOTE: e 525 bricks per pallet at a price of R6,45 per brick. Bricks are sold per pallet. e Half bricks are thrown away (not re-used). Use the information above to answer the questions that follow. 4.2.1 4.2.2 4.2.3 Copyright reserved Determine the total number of pallets of bricks needed to replace both garage doors. The opening of a garage door has dimensions of 2,13 m x 3 m. Other costs to build the double-brick wall: e Material, other than bricks, cost R2 000,00 e Labour is R500,00 per square metre The owner states that the total cost to replace both garage doors with walls would be R15 200,00. Verify her statement by means of calculations. You may use the following formula: Area = length x width Give ONE suitable reason why the bricks have to be placed on a wooden pallet. (5) (7) (2) [29] Please turn over

Mathematical Literacy/P2 QUESTION 5 12 DBE/November 2024 NSC Confidential 5.1 Chris and Boipelo are planning a year-long trip, mostly along the Al motorway, around Australia. It is the world's longest continuous road of 14 655 km that passes through every state and connects seven of its eight capitals. ANNEXURE C is a map of Australia and the distances and driving times between the major cities and the states or territories. Next to it is the plan of their trip. Use ANNEXURE C and the information above to answer the questions that follow. 5.1.1 Write down the names of the cities where the distance between them is 738 km. 5.1.2 Name the FOUR months when Chris and Boipelo will be in Western Australia. 5.1.3 Determine the distance from Perth to Adelaide. 5.1.4 Name the state where they plan to be during February. 5.1.5 Calculate the average speed, in km/h, from Brisbane to Cairns. You may use the following formula: Distance = speed x time 5.2 | Chris and Boipelo plan to visit Uluru. This Picture of Uluru oval-shaped big rock rises 1 142 feet above the surrounding desert plain. A picture of Uluru is shown alongside. The diagram below shows a comparison of the height of Uluru and some other tourist attractions around the world. 348 m Bridge Sydney Harbour ULURU The Eiffel Tower Pyramid of Giza [Sources: Pinterest.com.au and Britannica.com] Use the information above to answer the questions that follow. 5.2.1 5.2.2 Copyright reserved Determine, rounded to THREE decimal places, the conversion factor from feet to metres used in this diagram, in the form 1 foot =... m. Write, as a simplified ratio, the heights of Uluru : Eiffel Tower : Big Ben. Please turn over Q) (3) 3) (2) (4) (3) (4)

Mathematical Literacy/P2 13 DBE/November 2024 NSC Confidential 53 In addition to the mainland, Australia is surrounded by many thousands of small islands. Boipelo found TABLE 3 indicating the areas for the mainland, islands and total for each state or territory on a website. Some values have been omitted. TABLE 3: AREA SIZES OF THE MAINLAND, ISLANDS AND TOTAL FOR EACH STATE OR TERRITORY MAINLAND | ISLAND | TOTAL | PERCENTAGE STATE/TERRITORY AREA AREA AREA OF TOTAL km? km? km? AREA Western Australia 2 526 924 3 089 2 527 013 32,9 Queensland 1 723 030 6712 1729 742 22,5 Northern Territory 1 334 404 13 387 1 347 791 17,5 South Australia 979 651 4 670 984 321 12,8 New South Wales 801 137 13 801 150 10,4 Victoria 227 038 406 227 444 3,0 Tasmania 64 519 3 882 68 401 0,9 Australian Capital 2 358 - 2 358 - Territory TOTAL (AUSTRALIA) | 7656 061 32159 | 7688 220 NOTE: Territory —a big area that compares to a district or province [Source: ga.gov.au] Use TABLE 3 and refer to ANNEXURE C to answer the questions that follow. 5.3.1 A meteorite (rock from the sky) fell somewhere in Australia. Write down the probability that it randomly fell in Queensland. (2) 5.3.2 Show, with calculations, why it could be stated that the total area of the islands of Australia is approximately half of the area of the mainland area of Tasmania. (3) 5.3.3 The Australian Capital Territory has a population of 454 499. (a) Determine, rounded to the nearest whole number, the population density of the Australian Capital Territory as people per square km. (3) (b) — Give a suitable reason, with calculations, why this area is omitted from the percentage calculation in the table. (4) [33] TOTAL: 150 Copyright reserved