Mathematical Literacy Grade 11 P2 2024 QP (Eng)

PROVINCIAL ASSESSMENT GRADE 11 MATHEMATICAL LITERACY P2 NOVEMBER 2024 MARKS: 100 TIME: 2 hours This question paper consists of 12 pages and an annexure. Copyright reserved Please turn over

Mathematical Literacy/P2 2 NW/November 2024 Grade 11 INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Use the attached ANNEXURE for QUESTION 2.1. 3. Start EACH question on a NEW page. 4. Number the answers correctly according to the numbering system used in this question paper. 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. Diagrams are NOT necessarily drawn to scale, unless stated otherwise. 10. Write neatly and legibly. Copyright reserved Please turn over

Mathematical Literacy/P2 3 NW/November 2024 Grade 11 QUESTION 1 1.1 The following measuring instruments are given below: A. B. C. Use the measuring tools abovu to answer the questions that follow. 1.1.1 (a) Name the instrument labelled A. (2) (b) Define the concept temperature. (2) (c) Write, in oC, the temperature at the black line on the instrument labelled A. (2) 1.1.2 Convert the volume of the substance in the container B to litres. (2) 1.1.3 Determine, in mm, the distance between the two arrows on the ruler in diagram C. (3) Copyright reserved Please turn over

Mathematical Literacy/P2 4 NW/November 2024 Grade 11 1.2 Lelo will be travelling from Johannesburg to Durban for the holidays. She will use the map below to plan her journey. MAP OF THE ROUTE FROM JOHANNESBURG TO DURBAN Use the map above to answer the questions that follow. 1.2.1 Identify the type of map shown above. (2) 1.2.2 Determine, in metres, the actual distance between Johannesburg and Villiers. (2) 1.2.3 Name the town that is 166 km from Durban. (2) 1.2.4 Write down the total number of towns on the N3 that Lelo must pass on her way to Durban. (2) [19] Copyright reserved Please turn over

Mathematical Literacy/P2 5 NW/November 2024 Grade 11 QUESTION 2 2.1 The ANNEXURE shows the layout plan of Thuto Secondary School. Besides the classrooms and other buildings, the school has two science laboratories (Sci 1 and Sci 2) and a quad which is the open-air space for assemblies. Use the ANNEXURE and the information above to answer the questions that follow. 2.1.1 Identify the room that is between the staff room and the tuck shop. (2) 2.1.2 Use the compass direction to determine on which sides of the school hall, the doors are situated. (2) 2.1.3 The two music classrooms are stand-alone (not attached) classrooms. (a) Write down the numbers of these classrooms. (2) (b) Describe the location of the music classrooms in relation to the streets shown on this layout plan. (3) 2.1.4 A learner followed these directions to locate his classroom:  From the main office he walked in a southerly direction.  He turned right after passing the quad and continued straight.  The second last classroom on his left-hand side was his classroom. Write down the learner’s classroom number. (2) 2.1.5 Give ONE reason why Mimosa Avenue was designed as a one-way road. (2) 2.1.6 Calculate, as a percentage, rounded to THREE decimal places, the probability of finding a classroom with its door on the western side. (4) 2.2 Learners from Thuto Secondary School uses different modes of transport to get to school. 2.2.1 Solly, one of the learners, travels 12 km in 60 minutes to get to school. Calculate, in metres per minute (m/min), Solly’s average speed. You may use the formula: Distance = Average speed × Time (4) 2.2.2 Use Solly’s average speed from QUESTION 2.2.1 to determine whether he was walking or using any other mode of transport. Give a reason for your answer. (3) [24] Copyright reserved Please turn over

Mathematical Literacy/P2 6 NW/November 2024 Grade 11 QUESTION 3 3.1 Qhubeka Charity Organisation donated 127 bicycles to all learners of Thuto Secondary School who took longer than 1 hour each day to walk to school. A second organisation provided bicycle stands for the 127 bicycles. Bicycle stands The rectangular floor area that are required for the parking of the bicycles is determined by considering the following:  Each bicycle is 180 cm long and 45 cm wide.  An additional space of 0,5 m2 per bicycle is required for free movement around the stands. Use the information above to answer the questions that follow. 3.1.1 Calculate, in m2, the area of 1 bicycle. You may use the formula: Area of a bicycle = length × width (3) 3.1.2 The total floor area required for the 127 bicycles is 166,37 m2. Verify, showing ALL calculations, how the floor area was determined. (4) Copyright reserved Please turn over

Mathematical Literacy/P2 7 NW/November 2024 Grade 11 3.2 The SGB of Thuto Secondary School decides to pave the floor area where the learners will park their bicycles. They will use paving bricks like the one shown below: INFORMATION THE BRICK PALLET OF BRICKS ABOUT THE BRICKS Number of bricks per 1 m2 : 48 Paving bricks are sold in pallets of 594 bricks Weight of 1 brick: 2,230 kg 3.2.1 The SGB will buy extra 5% of bricks for wastage and breakage. Determine the total number of bricks that the SGB will buy to pave the floor area where the bicycles will be parked. (5) 3.2.2 Determine the number of pallets of bricks that the SGB must buy. (3) 3.2.3 Determine, correct to ONE decimal place, the weight in tonnes of all the bricks needed. NOTE: 1 ton = 1 000 kg (4) Copyright reserved Please turn over

Mathematical Literacy/P2 8 NW/November 2024 Grade 11 3.3 The SGB will employ workers from the community to pave the floor area. The graph below shows the relationship between the number of workers they employ, and the time taken to complete the paving project. THE NUMBER OF WORKERS VS THE TIME TAKEN TO PAVE THE AREA 35 30 Number of days 25 20 15 10 P 5 0 1 2 3 4 5 6 8 10 12 15 20 30 Number of workers Use the graph above to answer the questions that follow. 3.3.1 Identify and explain the type of relationship represented by the graph above. (3) 3.3.2 Derive the formula to show the relationship above. (2) 3.3.3 Use the formula in QUESTION 3.4.2 or otherwise to calculate P, the number of days taken by 8 workers to complete the project. (2) [26] Copyright reserved Please turn over

Mathematical Literacy/P2 9 NW/November 2024 Grade 11 QUESTION 4 4.1 Below are the assembly diagrams for a floor lamp. ASSEMBLY DIAGRAMS FOR A FLOOR LAMP 1 2 3 4 5 6 7 8 Use the diagram above to answer the questions that follow. 4.1.1 Refer to DIAGRAM 4. Give the direction in which the nut should be turned. (2) 4.1.2 Which diagram is associated with the instruction: ‘Join the stand to the base?’ (2) 4.1.3 The actual height of the floor lamp is 1,55 m. Determine, in cm, the height of the floor lamp in the diagram if the scale is 1 : 25 (3) Copyright reserved Please turn over

Mathematical Literacy/P2 10 NW/November 2024 Grade 11 4.2 Peter works for a courier company in Rustenburg. The company collects packages, in boxes, from different warehouses across the country and delivers them to clients within 48 hours. Below are the dimensions of a box, that must be delivered. DIMENSIONS OF A BOX THE BOX Length: 340 mm Width: 325 mm Height: 180 mm Use the information above to answer the questions that follow. 4.2.1 Define the concept volume. (2) 4.2.2 Calculate, in m3, the volume of the box. You may use the formula: Volume of a box = length × width × height (3) 4.2.3 Peter drives a delivery van as the one shown below: DIMENSIONS OF THE THE DELIVERY VAN DELIVERY VAN length: 1 700 mm width: 1 490 mm height: 1 200 mm Calculate the maximum number of boxes that can be packed into the van as follows:  the length of the box along the length of the van,  the width of the box along the width of the van and  then boxes are stacked to the roof of the van. (6) 4.2.4 Peter picked up the parcels at 14:50 from the warehouse on 30 June and delivered one parcel at 08:15 on 2 July. Verify, showing ALL calculations, whether this delivery was done within the specified delivery time of 48 hours. (4) Copyright reserved Please turn over

Mathematical Literacy/P2 11 NW/November 2024 Grade 11 4.3 Tshidi is a soccer player, and she is concerned about her weight. Her current BMI is 18,2 kg/m2 and a height of 1,56 m. The table below shows the weight status versus the BMI range. TABLE: WEIGHT STATUS ACCORDING TO BMI. BMI RANGE (in kg/m2) WEIGHT STATUS Less than 18,5 Underweight From 18,5 – 24,9 Normal weight From 25 - 30 Overweight More than 30 Obese Use the information above to answer the questions that follow. 4.3.1 Write the acronym BMI in full. (2) 4.3.2 State Tshidi’s current weight status. (2) 4.3.3 Calculate Tshidi’s current mass. 𝐌𝐚𝐬𝐬 𝐢𝐧 𝐤𝐠 You may use the formula: BMI = (𝐡𝐞𝐢𝐠𝐡𝐭 𝐢𝐧 𝐦)𝟐 (3) 4.3.4 Provide an advice to Tshidi on how she can improve her weight status. (2) [31] TOTAL: 100 Copyright reserved

Mathematical Literacy/P2 1 NW/November 2024 Grade 11 ANNEXURE QUESTION 2.1 LAYOUT PLAN OF THUTO SECONDARY SCHOOL Entrance for Students Drop Off/Pick Up Mimosa avenue FLOWER STREET LILLY STREET [Adapted from www.sausd.us] Copyright reserved