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Mathematical Literacy Grade 12 P2 NSC June 2025 QP (Eng)

Question paperMathematical LiteracyGrade 12202514 pages

Grade 12 Mathematical Literacy Paper 2 question paper from the NSC June Exam 2025 (English), 14 pages. Read online or download the free PDF.

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Confidential <p basic education t/a } Department: Cy) Basic Education LS REPUBLIC OF SOUTH AFRICA SENIOR CERTIFICATE EXAMINATIONS/ NATIONAL SENIOR CERTIFICATE EXAMINATIONS MATHEMATICAL LITERACY P2 MAY/JUNE 2025 MARKS: 150 TIME: 3 hours This question paper consists of 14 pages and a 17-page SPECIAL ANSWER BOOK. Copyright reserved Please turn over
Mathematical Literacy/P2 2 DBE/May/June 2025 SC/NSC Confidential INSTRUCTIONS AND INFORMATION 1. This question paper consists of FIVE questions. 2. Answer ALL the questions in the SPECIAL ANSWER BOOK provided. 3. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. 4, Show ALL calculations clearly. 5. Round off ALL final answers appropriately according to the given context, unless stated otherwise. 6. Indicate units of measurement, where applicable. 7. Diagrams are NOT necessarily drawn to scale, unless stated otherwise. 8. Write neatly and legibly. Copyright reserved Please turn over
Mathematical Literacy/P2 3 DBE/May/June 2025 QUESTION 1 SC/NSC Confidential 1 TABLE 1 below shows a list of Mathematical Literacy terms or concepts in COLUMN A with descriptions in COLUMN B. Choose a description from COLUMN B that matches the term or concept in COLUMN A. Write only the letter (A—I) next to the question numbers (1.1.1 to 1.1.4) in the ANSWER BOOK, e.g. 1.1.5 J. TABLE 1: MATHEMATICAL LITERACY TERMS OR CONCEPTS WITH DESCRIPTIONS COLUMN A COLUMN B 1.1.1 Ratio scale A 1000 1.1.2 Grams in one ton B_ 1000000 1.1.3. Surface area of acylinder | C 1 000 000 000 1.1.4 Floor plan D plan that shows how items are arranged in a certain space E | bar scale F 2x2 radius? x height G _ plan that shows the layout of a building, as seen from above H 2%x7* radius? + 2 x a x radius x height I number scale (4x 2) 1.2 In each of the statements below, choose the correct word(s) from those given in brackets to make the statement TRUE. Write only the word(s) next to the question numbers (1.2.1 to 1.2.4) in the ANSWER BOOK. 1.2.1 1.2.2 1.2.3 1.2.4 Copyright reserved A probability is always (less than/greater than) or equal to one. When calculating the amount of medicine to administer to a toddler, we round (up/down) the decimal answer, in millilitres. A flow rate of 12,5 litres/hour is equal to 25 litres in (two/three) hours. An elevation plan of a building is a (2D/3D) representation of the building. Please turn over (8) @) (2) @) 2)
Mathematical Literacy/P2 4 SC/NSC Confidential DBE/May/June 2025 1.3. | The picture below shows the 10 hottest and the 10 coldest countries in the world, based on their average temperature over time. —0,70°C Iceland 1,50°C . Norway de , [4 1,55°C Finland 1,70°C Mongolia -5,35°C = 27,55°C —5,10°C Russia Benin 28,29°C Canada & Mali Kyrgyzstan @ w 27,65°C 5,10°C 27,60°C Tuvali Switzerland Palau [Source: www.reddit.com] es) +) Burkina Faso Chad | er 28,20°C Kiribati en NY 28,00°C i ie Djibouti ® 7 3 SF 103 (2200 1,75°C =) a ; Sweden ». 200 —_ Estonia 2,10°C Mauritius 27,85°C Senegal As <a ae 27,65°C O Mauritania Use the information above to answer the questions that follow. 1.3.1 1.3.2 1.3.3 1.3.4 1.3.5 Copyright reserved Write down the average temperature in Sweden. Name the third hottest country. Round off Russia's average temperature to the nearest °C. Calculate the difference between the average temperatures of Senegal and Iceland. Write down the names of ALL the countries that have the exact same temperatures. Please turn over (2) (2) (2) (3) G3) [28]
Mathematical Literacy/P2 5 DBE/May/June 2025 QUESTION 2 SC/NSC Confidential 2.1 ANNEXURE A in the ANSWER BOOK shows the layout plan of a supermarket with various labelled sections to assist customers. Clive went to this supermarket to do some shopping. Use ANNEXURE A to answer the questions that follow. 2.1.1 Copyright reserved Clive followed the directions below to buy an item from this supermarket. Enter the supermarket and immediately tum right. Walk past the magazine section and then tur left. Continue straight ahead until you come to the end of the aisle. The item will be in the section on your right. Name the type of product Clive bought. Describe the location of the pet care section. Name the section where you will find milk and yoghurt. Choose the correct word from those given in brackets to make the following statement TRUE: The customer flow of the supermarket, as displayed in the layout plan, is (clockwise/anti-clockwise). Give ONE positive impact that a properly labelled section and an attractive set-up in a supermarket will have on a customer. Give ONE possible reason why the cool drinks, butchery, dairy and cheese sections are located against the back wall of the supermarket. Give a possible name for the symbol in the layout plan. Please turn over (2) (2) (2) (2) (2) Q) (2)
Mathematical Literacy/P2 6 SC/NSC Confidential DBE/May/June 2025 2.2 For his Mathematical Literacy project, Clive needed to record the gender of customers, and the most popular colour of outfits customers wore as they entered the supermarket. He recorded the gender of the customers and the colours of the outfits in TABLE 2 below. (NOTE: Some values have been omitted.) TABLE 2: GENDER OF CUSTOMERS AND COLOUR OF OUTFIT BLACK | RED | BLUE | GREEN | BROWN | YELLOW | TOTAL Female a 31 10 16 9 4 ¢ Male 25 7 b 13 9 2 68 TOTAL 43 38 22 29 18 6 d Use TABLE 2 above to answer the questions that follow. 2.2.1 2.2.2 2.2.3 Copyright reserved Calculate the missing values a, b, ¢ and d. Determine the probability of randomly selecting a female from the people wearing green outfits. Clive wrote down the following probability as a possible outcome: P(outcome) = 2 Give the gender and the colour of the outfit represented by this probability. Please turn over (4) (2) (3) [23]
Mathematical Literacy/P2 7 DBE/May/June 2025 SC/NSC Confidential QUESTION 3 3.1 A garden landscaper is helping Mrs Mbele to plan a garden behind her house. There will be paving bricks laid between the house and the garden. The front of the garden will have the house as one of its boundaries, while the rest of the outer boundaries of the garden will have wire fencing. ANNEXURE B in the ANSWER BOOK shows the plan for the proposed garden and its features. Use ANNEXURE B and the information above to answer the questions that follow. 3.1.1 3.1.2 Copyright reserved Calculate the total length of the wire fencing needed to fence the outer boundaries of the garden, including the paved area. The circular fishpond (A) has a diameter of 120cm and a depth of 0,5 m. (a) (b) Calculate, in cm3, the volume of the fishpond. Use the formula: Volume of the cylinder = 3,142 x radius? x depth Surrounding the circumference of the fishpond is a row of paving bricks. Each paving brick is 20 cm long. Determine the circumference of the paved outer edging of the fishpond. Use the formula: Circumference of a circle = 3,142 x diameter The rectangular paved area (C on the plan) between the garden and the house is 36,16 m?. (a) (b) Calculate the width of the paved area between the garden and the house. Use the formula: Area of a rectangle = length x width 118 wheelbarrows of gravel are needed for 10 m’ of gravel. Thabang stated that more than 65 wheelbarrows of gravel are needed to place a 150 mm layer of gravel under the paved area. Verify, with calculations, whether his statement is VALID. Use the formula: G3) (4) (3) (4)
Mathematical Literacy/P2 8 3.2 SC/NSC Confidential DBE/May/June 2025 The paved seating area (B on the plan), alongside, is located at the eastern side of the garden. This area has a circular paving brick in the middle, surrounded by custom-made pavers (irregularly shaped paving bricks) to form the circular paved seating area. The custom-made pavers are sold in packs of 13, which covers exactly a quarter of the full circular seating area, excluding the middle paver. The cost of the pavers, excluding 15% VAT, are shown in TABLE 3 below. TABLE 3: COST OF PAVERS, EXCLUDING 15% VAT Picture of the layout of the MATERIALS COST Middle paver R125,80 Pack of 13 custom-made pavers RO657,40 Other materials R1 250,00 Use the information above to answer the questions that follow. 3.2.1 Determine the total number of paving bricks in the first row, closest to the middle circular paver. (2) 3.2.2 Calculate the total cost, including VAT, of the materials required to pave the entire seating area B. (5) [27] Copyright reserved Please turn over
Mathematical Literacy/P2 9 DBE/May/June 2025 SC/NSC Confidential QUESTION 4 4.1 Nikita wants to open her own pet shop. The operating hours of the pet shop are given in TABLE 4 below. TABLE 4: OPERATING HOURS OF THE PET SHOP DAYS OF THE WEEK OPERATING HOURS Monday to Friday 07:30 to 17:00 Saturday 08:00 to 13:00 Sunday Closed pictures and diagram below. Nikita will sell fish tanks in the shape of mini aquarium blocks, as shown in the DIAGRAM AND PICTURES OF THE MINI AQUARIUM BLOCK TANKS | Wi Inner length = 11,6 cm Inner width = 7,6 cm Inner height = 10,5 cm NOTE: 1 cm? = 1 mé [Adapted from www.aliexpress.com] Use the information above to answer the questions that follow. 4.1.1 mini aquarium block tank. 4.1.2 operating week. 4.1.3 Determine (in simplified form) the ratio of the length to the width of the Calculate the total number of hours the pet shop will be open in one Each mini aquarium tank will contain 75% of its capacity in water. Determine the amount of water left over in a jug (1 000 mf), after filling one mini aquarium tank with water. Use the formula: Volume = length x width = height Copyright reserved Please turn over GQ) G) (7)
Mathematical Literacy/P2 10 DBE/May/June 2025 SC/NSC Confidential 4.2 Nikita received the different pieces for assembling the mini aquarium tank. The pictures below show the different steps required to assemble one mini aquarium. You may assume that the colours of the frames of the tank are the same in all the pictures below. __ PICTURES SHOWING THE ASSEMBLY OF A MINI AQUARIUM. f [Adapted from www.aliexpress.com] Choose a picture above that will match a written instruction below. Write down only the letter (A, B, C, D, E or F) of the picture next to the question number, e.g. 4.2.7 H. 4.2.1 Place the outer frame over the transparent inner to cover it. 4.2.2 Pull in opposite directions to open the mini aquarium. 4.2.3 The hole is for feeding or to put in a light. 4.2.4 One hand will hold the transparent inner tank while the other hand will hold the outer frame. 4.2.5 Add water and decorating items as you like. 4.2.6 Close tightly by pressing down on the outer frame. (6 x1) (6) Copyright reserved Please turn over
Mathematical Literacy/P2 dl SC/NSC Confidential DBE/May/June 2025 43 (See the pattern in the picture below.) Nikita decided to assemble a few of the mini aquariums and mount them against the wall at the front desk. There is a 5 cm space between each mini aquarium tank along the length of the wall. In every odd row, the mini aquarium tanks start and end against the wall. In the even rows, the mini aquarium tanks start at space d from the wall, on either side of the row. AGAINST THE WALL PICTURE OF PART OF THE MINI AQUARIUM TANK ARRANGEMENT DIMENSIONS OF THE ASSEMBLED MINI AQUARIUM TANK Sees ed 12cm 5cm sayour ¢“y Length of the wall Mini aquarium tank: Outer length = 12 cm Outer width = 8 cm Outer height = 4,3 inches DIMENSIONS OF THE WALL AT THE FRONT DESK Length = 199 cm Height = 100 cm NOTE: | mm = 0,0394 inches [Adapted from www.aliexpress.com} Use the information above to answer the questions that follow. 4.3.1 4.3.2 Determine, in cm, the height of one mini aquarium tank. Calculate the total number of mini aquarium tanks Nikita will be able to place in the bottom row to maximise the space along the length of the wall. 4.3.3 Nikita stated that length d is 8,5 cm. Verify, showing ALL calculations, if her statement is VALID. Copyright reserved Please turn over (4) (7) (4) [36]
Mathematical Literacy/P2 12 DBE/May/June 2025 QUESTION 5 SC/NSC Confidential 5.1 The Las Vegas Grand Prix is a 50-lap car race. It takes place at the Las Vegas Strip track in Nevada, USA, annually. ANNEXURE C in the ANSWER BOOK shows the layout of the Las Vegas track with the intended route. The temporary track is to be built within the streets of Las Vegas and it includes popular landmarks, labelled curves and corners. TABLE 5 below summarises the details of the race. TABLE 5: SUMMARY OF THE DETAILS OF THE RACE TRACK INFORMATION e¢ Number of laps: 50 |e Lap length: 6,201 km e Number of curves and corners: 17 |e Race distance: 310,05 km ¢ Number of straights: . 3|e Top speed: 212 mph [Adapted from https://www.fL lasvegasep.com/track-layout/ Use ANNEXURE C and TABLE 5 above to answer the questions that follow. 3.1.1 5.1.2 5.1.6 Copyright reserved Identify the shop that a driver will find on his right-hand side at the 13% curve. State the general direction of the Fountains of Bellagio from the Wynn Golf Club. Show, by means of calculations, how the race distance of 310,05 km was determined. Name the road that will be crossed after taking the 4"" curve. The scale of the track layout is 1 : 13 500. One of the race car drivers maintained a constant speed of 204 km/h between points A and B, as indicated on the track layout. Calculate, in minutes, the time it took this driver to cover the distance. Use the formula: Distance = speed x time A race car driver decides to practise on the track late in the afternoon. He complained that the rays of the sun were affecting his vision after the 9" comer. State, giving a reason, why you would agree or disagree with this race car driver. Please turn over Q) (2) Q) (2) ) (3)
Mathematical Literacy/P2 13 SC/NSC Confidential DBE/May/June 2025 5.2 The fastest laps of the top five race car drivers are shown in TABLE 6 below. TABLE 6: LAS VEGAS GRAND PRIX: FASTEST LAPS Lap time 1:35,490 = 1 minute 35,490 seconds EXACT TIME LAP- AVERAGE DRIVER LAP OF DAY TIME | SPEED (km/h) 1 | Oscar Piastri 47 23:28:54 1:35,490 233,779 2 | Max Verstappen 44 23:23:34 1:35,614 233,476 3 | Charles Leclerc 50 23:33:15 1:35,669 233,342 4 | Lewis Hamilton 48 23:30:22 1:35,716 233,227 5 | Sergio Perez 40 23:17:12 1:35,939 232,685 [{Source: www. formulal.com/en/results.html] NOTE: Study the information above to answer the questions that follow. 5.2.1 The exact time of day shows the time the driver finished his fastest lap. Calculate, to TWO decimal places, at what time Oscar Piastri started lap 47. 5.2.2 Max Verstappen won the race with a time of 1 hour 29 minutes and 8,289 seconds. One of the spectators said Max Verstappen took 5 348,289 seconds, with an average lap-time of 106 seconds, to complete the race. Verify, showing ALL calculations, whether his statement is VALID. Copyright reserved Please turn over (3) (6)
Mathematical Literacy/P2 14 DBE/May/June 2025 5.3 SC/NSC Confidential Thabiso is a Grand Prix fanatic and he wants to buy a framed poster of the Grand Prix world champions. The frame is made up of four pieces of wood joined together with overlaps, as seen in the picture and diagram below. Dimensions of the frame: e Long piece is 630 mm by 45 mm ¢ Short piece is 420 mm by 45 mm e Overlap is 2,5 cm throughout PICTURE OF THE FRAME DIAGRAM OF THE FRAME overlaps [Source: istockphoto.com POSTER OF GRAND PRIX WORLD CHAMPIONS 485 mm [Source: www.youtube.com] Use the information above to answer the questions that follow. 5.3.1 The frame has two horizontal pieces of wood mounted across two vertical pieces of wood with overlaps. See the picture and diagram above. Calculate, in mm, the inner length and the inner width of the frame. 5.3.2 The person responsible for placing the poster of the Grand Prix world champions inside the frame, stated that the poster will not fit exactly within the frame. Verify, with calculations, whether his statement is VALID. TOTAL: Copyright reserved (6) (3) [36] 150

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