Mathematical Literacy Grade 12 P2 Gauteng June 2024 Memo

Downloaded from hlayiso.com JUNE EXAMINATION GRADE 12 2024 MARKING GUIDELINES MATHEMATICAL LITERACY (PAPER 2) Codes Explanation M Method MA Method with accuracy MCA Method with constant accuracy CA Consistent accuracy A Accuracy C Conversion D Definition J Justification/Reason/Explain S Simplification RT/RD/RG Reading from a table/graph/diagram/map/plan F Choosing the correct formula SF Substitution in a formula O Opinion P Penalty, e.g. for no units, incorrect rounding-off, etc. R Rounding-off NPR No penalty for rounding-off OR omitting units. KEY TO TOPIC SYMBOL: M = Measurement; MP = Maps, Plans and other representations; P = Probability 6 pages

Downloaded from hlayiso.com MATHEMATICAL LITERACY MARKING GUIDELINES (PAPER 2) GR12 0624 QUESTION 1 Q Solution: Answer only = full marks. Explanation Marks Level 1.1 1.1.1 B or Distance A 2A correct answer (2) M1 1.1.2 One hundred and twenty-three thousand four 2A correct answer M1 hundred and fifty-six A (2) 1.2 1.2.1 Amount of space in a bucket that can be 2D correct answer filled with ginger drink. D OR M1 The amount of ginger drink that the bucket can hold. (2) 1.2.2 25 : 12,5 A 1A correct order M1 2 : 1 CA 1CA simplifying (2) 1.2.3 12.5 MA 1MA method 5 1A correct answer M1 = 2,5 or 2 and a half teaspoons A (2) 1.2.4 10 000 MA 1MA method 1000 1A correct answer M1 = 10 litres A (2) 1.2.5 200 MA 1MA method 40 1A correct answer M1 = 5kg A (2) 1.3 1.3.1 N12 OR N17 OR N3 A 2A correct answer (2) MP1 1.3.2 SE A 2A correct answer (2) MP1 1.3.3 Regional map A 2A correct answer MP1 (2) [20] 2

Downloaded from hlayiso.com MATHEMATICAL LITERACY MARKING GUIDELINES (PAPER 2) GR12 0624 QUESTION 2 Q Solution Explanation Marks Level 2.1 2.1.1 5 A 2A correct answer (2) MP1 2.1.2 Botswana A 2A correct answer (2) MP1 2.1.3 Bar scale /Linear scale/Graphic scaleA 2A correct answer (2) MP1 2.1.4 • Travel towards North-East A 1A for North East • Use N14 A 1A for N14 • Pass 4 towns A 1A for passing 4 towns MP2 • Enter Gauteng Province A 1A for entering GP • Pretoria will be situated on the N1 A 1A mentioning destination (5) 2.1.5 Bar length = 2,5 cm A 1A measured bar length Map length = 10,9 cm A 1A measured map length 10,9 𝑐𝑐𝑐𝑐 Actual distance = 2,5 𝑐𝑐𝑐𝑐 MCA × 100 km M 1MCA fraction 1M multiplying by 100 1CA answer MP4 = 436 km CA 1O conclusion ∴ The claim is invalid O Accept: *(Measure on final printed copy.) Bar (2,4 cm – 2,6 cm) Map (10,6 cm – 11,2cm) (6) 2.2 2.2.1 Time = 17:45 −13: 30 − 10 min – 15 min M CA distance from = 3,83 h CA Q2.1.5 Average speed = 𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷𝐷 M 1M subtracting correct 𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇 values 1CA answer 436 𝑘𝑘𝑘𝑘 Average speed = 3,83 ℎ SF 1M changing subject of formula MP3 = 113,838 km/h CA 1SF correct values ≈114 km/h R 1CA answer 1R rounding to the nearest whole number (6) 2.2.2 • Traffic delays A 2A correct answer or (Accept any sensible MP4 • Heat might cause tiredness answer) (2) [25] 3

Downloaded from hlayiso.com MATHEMATICAL LITERACY MARKING GUIDELINES (PAPER 2) GR12 0624 QUESTION 3 Q Answer Explanation Marks Level 3.1 3.1.1 Cylinder A 2A correct answer M1 (2) 3.1.2 ℉ = (180 × 9 ) + 32 SF 1SF substituting 180 5 M2 = 356 ℉ A 1A correct answer NPU AO (2) 3.1.3 r = 20 𝑐𝑐𝑐𝑐 1A correct radius answer 2 1SF values = 10 cm A 1CA final answer M2 1A correct unit V = 3,142 × (10)2 × 15SF = 4 713 cm3 CAA (4) 3.1.4 Top: 1C conversion to cm 200 𝑚𝑚𝑚𝑚 = 20 cm C 1MA squaring the radius 10 1SF correct values Area = 3,142 × (12.52 – 10 ²) SFMA 1S for the difference = 3,142 × 56,25 S 1CA answer = 176,7375 cm² CA Side: 1SF correct values Area = 2 × 3,142 × 12,5 × 20 SF 1CA answer = 1571 cm² CA Surface area =176,7375 cm²+ 1 571 cm² 1CA answer = 1 747,7375 cm²CA OR M3 2 Surface area = 𝜋𝜋𝑟𝑟 + 2𝜋𝜋𝜋𝜋ℎ = 3,142 × 12, 52 + 2 × 3,142 × 12,5 × 20 SF 2SF correct values = 2 061,9375 CA 1CA answer Base area of the smaller cake: 1C conversion 200 𝑚𝑚𝑚𝑚 Radius 10 = 20 cm C Area = 𝜋𝜋 × 𝑟𝑟 2 Area = 3,142 × 102 𝐒𝐒𝐒𝐒 = 314,2 cm2 CA 1SF correct values 1CA answer SA 1S difference = 2 061,9375 − 314,2 = 𝐒𝐒 1 CA answer 1 747,7375 cm2 CA NPR NPU (8) 4

Downloaded from hlayiso.com MATHEMATICAL LITERACY MARKING GUIDELINES (PAPER 2) GR12 0624 3.2 Circumference = 2 × 3,142 × 10 SF CA radius from Q3.1.3 = 62,84 cmA 1SF correct values = 62,84 cm + 2,2 cmM 1A correct answer M2 = 65,04 cm CA 1M for adding 2,2 cm 1CA answer (4) 3.3 3.3.1 22:10 A 2A answer (2) M2 3.3.2 22:10 – 19:48MA CA from 3.3.1 = 2 hours and 22 minutesA 1MA subtracting values = 2,37 hoursC 1A answer M2 1C conversion to hours NPR (3) 3.3.3 • Coal stove A 2A correct answer OR • Gas stove OR • Solar M4 OR • Generator OR • Inverter (2) [27] QUESTION 4 Q Answer Explanation Marks Level 4.1 4.1.1 • Improve confidence  A 2A correct answer (Accept any sensible M4 answer) (2) 4.1.2 14 – decreasing/downward slopeA 1A correct explanation 16 – 17: constantA 1A correct explanation 17 – 23: Increasing/Uphill slopeA 1A correct explanation M4 1A correct explanation 23 – 26: decreasingA (4) 4.1.3 13 miles – 8 miles 𝐑𝐑𝐑𝐑= 5 milesA 1RT correct values 1A answer in miles 5 miles = 5 × 5 280 ft M = 26 400 ftCA 1M multiplying by 5 280 1CA answer in ft 26 400 ft = 30,48 cm × 26 400𝐌𝐌 1M multiplying by 30,48 1CA answer in cm M3 = 804 672 cmCA 1CA answer in m 804 672 cm NPU = NPR 100 = 8 046,72 m CA (7) 5

Downloaded from hlayiso.com MATHEMATICAL LITERACY MARKING GUIDELINES (PAPER 2) GR12 0624 4.2 4.2.1 14 yearsA 2A correct age (2) M1 4.2.2 170 𝑐𝑐𝑐𝑐 =1,7 m C 1C conversion to metres 100 (a) 1SF substitution of correct 67 values BMI = 1,7²SF 1A correct answer = 23,2 kg/m² A 1RG correct values M4 BMI is between 75th and 85th percentile RG 1RT status 1O conclusion He is healthy. RT NPR ∴ Claim is valid. O (6) (b) Exercise. OR Go on healthy diet.A 2A correct answer M4 (Accept any sensible answer) (2) 4.3 4.3.1 (i) C A 1A correct answer P2 (ii) JC A 1A correct answer (2) 4.3.2 2 A A 1A denominator 6 1A numerator 1CA answer as a decimal. P2 = 0,33 CA NPR AO (3) [28] TOTAL: 100 6

Downloaded from hlayiso.com MATHEMATICAL LITERACY MARKING GUIDELINES (PAPER 2) GR12 0624 Notes 1.1. 1.1.2. Hundred and twenty-three thousand four 2A correct answer hundred and fifty-six 1.2. 1.2.5. Accept: 40 × 5𝑘𝑘𝑘𝑘 = 200 1MA method 1A correct answer 1.3. 1.3.3. Accept: Street Map/Route Map/Provincial Map 2A correct answer 4.2. 4.2.1. Accept: 13 – 14 years 2A correct age 7