Mathematical Literacy Grade 12 P2 North West June 2024 Memo

PROVINCIAL ASSESSMENT GRADE 12 MATHEMATICAL LITERACY P2 JUNE 2024 MARKING GUIDELINES MARKS: 100 Symbol Explanation M Method MA Method with accuracy MCA Method with consistent accuracy CA Consistent accuracy A Accuracy C Conversion S Simplification RT Reading from a table/a graph/document/diagram SF Correct substitution in a formula O Opinion/Explanation/Reasoning P Penalty, e.g. for no units, incorrect rounding off, etc. R Rounding off NPR No penalty for correct rounding AO Answer only These marking guidelines consist of 9 pages. Copyright reserved Please turn over

Mathematical Literacy/P2 2 NW/June 2024 Grade 12 – Marking Guideline NOTE: • If a candidate answers a question TWICE, only mark the FIRST attempt. • If a candidate has crossed out (cancelled) an attempt to a question and NOT redone the solution, mark the crossed out (cancelled) version. • Consistent accuracy (CA) applies in ALL aspects of the marking guidelines; however, it stops at the second calculation error. • NOTE: consistent accuracy (CA) does not apply in cases of a breakdown. • If the candidate presents any extra solution when reading from a graph, table, layout plan and map, then penalize for every extra item presented. • As a general marking principle, if a candidate has incurred one mistake and there is evidence of sound mathematics thereafter, then that candidate should lose one mark only. • Rounding is an independent mark. • In opinion type questions marks will only be awarded if relevant calculations are shown. QUESTION 1 [20 MARKS] Answer only AO – full marks Ques Solution Explanation T/L 1.1.1 C✓✓A 2A answer P (2) L1 1.1.2 A✓✓ A 2A answer M (2) L1 1.1.3 E✓✓ A 2A answer MP (2) L1 1.2.1 90𝑚𝑙 1MA division M Number of tablespoons = ✓ MA 15𝑚𝑙 1A answer L1 =6✓A (2) 1.2.2 ✓RT 1RT correct values M 75 g : 375 g✓ MA 1MA correct order L1 1 : 5✓ A 1A unit ratio (3) 1.2.3 1 M Amount of brown sugar = 12 cup 1 L1 = 1 × 250 g ✓MA 1MA multiplication 2 = 375 g✓S 1S simplification = 0,375 kg✓C 1C conversion OR 1 1 cup + 2 cup = 250 g + 125 g✓MA OR 1 1MA addition 12 cup of sugar = 375 g ✓S 1S simplification = 0,375 kg✓C 1C conversion (3) 1.3.1 National Road map✓✓A 2A answer MP (2) L1 1.3.2 1 unit on the map represents 50 000 units on the 2A explanation MP ground.✓✓A (2) L1 1.3.3 Netcare Mulbarton Hospital✓A MP Netcare Sunward Park Hospital✓A 1A answer L1 Netcare Alberton ✓A 1A answer Any 2 correct answers (2) [20] Copyright reserved Please turn over

Mathematical Literacy/P2 3 NW/June 2024 Grade 12 – Marking Guideline QUESTION 2 [28 MARKS] Ques Solution Explanation T/L 2.1.1 Strip chart✓✓A 2A answer MP (2) L1 2.1.2 964 km✓✓A 2A answer MP (2) L1 2.1.3 distance CA from Q2.1.1 MP Speed = time 1SF substitution L3 964 km 120 km/h = ✓SF time 1M changing the 964 km Time = ✓M subject 120 km/h = 8,033333h✓CA 1CA answer NPR (3) 2.1.4 ✓A RT✓ 1A 60 km MP Distance = 60 km + 74 km + 24 km + 158 km✓M 1RT 3 correct distances L2 = 316 km✓CA 1M addition 1CA answer (4) 2.1.5 To rest from driving.✓✓O 2O reason MP OR L4 To do site viewing.✓✓O OR To catch up with his friend.✓✓O Accept any relevant reason. (2) 2.2.1 N3✓A 1A answer MP N2✓A 1A answer L1 (2) 2.2.2 Bar scale✓✓A 2A answer MP (2) L1 2.2.3 North-West✓✓A 2A answer MP OR L2 NW✓✓A (2) 2.2.4 Scale MP ✓A 1A measured distance L3 22 mm : 10 km 22 mm : 10 000 000 mm✓C 1C conversion 1 : 5454 545✓S 1S simplification OR OR Scale ✓A 1A measured distance 2,2 cm : 10 km 2,2 cm : 1 000 000 cm✓C 1C conversion 1: 454 545✓S 1S simplification [Accept 21 mm – 23 mm or 2,1 cm – 2,3 cm] (3) 2.3.1 810 m ✓✓A 2A answer MP (2) L2 2.3.2 Distance = 45 km ✓✓A 2A answer MP Accept [44 – 46 km] (2) L2 Copyright reserved Please turn over

Mathematical Literacy/P2 4 NW/June 2024 Grade 12 – Marking Guideline 2.3.3 Insufficient training.✓✓O 2O reason MP OR L4 Injuries ✓✓O OR Poor nutrition and hydration (cramping, fatigue, energy depletion)✓✓O OR Mental challenges (anxiety)✓✓O OR Medical issues (fainting)✓✓O OR Environmental issues (weather conditions, excessive heat or cold)✓✓O OR Equipment issues (inappropriate footwear or gear)✓✓O (2) [28] Copyright reserved Please turn over

Mathematical Literacy/P2 5 NW/June 2024 Grade 12 – Marking Guideline QUESTION 3 [32 MARKS] Ques Solution Explanation T/L 3.1.1 Perimeter is the total length around a shape or object.✓✓A 2A answer M OR (2) L1 Perimeter is the total length of the boundary of a shape or object.✓✓A 3.1.2 Area = 2(l × b) + 2(b × h) + (l × h) M ✓SF ✓SF 1SF substitution L2 = 2(0,4 m × 0,29 m) + 2(0,29 m × 0,54 m) + 1SF substitution (0,4 m × 0,54 m)✓SF 1SF substitution = 0,232 m2 + 0,3132 m2 + 0,216 m2 ✓S 1S simplification = 0,7612 m2 ✓CA 1CA answer (5) 3.1.3 CA from Q3.1.2 M Double coats = 0,7612 m2 × 2✓MCA 1MCA multiplication L4 = 1,5224 m2 ✓CA 1CA answer 1MCA multiplication Amount of paint = 1,5224 × 0,8 litres✓MCA by rate = 1,21792 litres ✓CA 1CA answer ⸫ Correct ✓O 1O opinion OR OR Amount of paint = 0,7612 m2 × 0,8 litres/m2✓MCA 1MCA multiplication = 0,60896 ✓CA by rate Double coats = 0,60896 × 2✓MCA 1CA answer = 1,21792 litres ✓CA 1MCA multiplication 1CA answer ⸫ Correct ✓O 1O opinion (5) 3.1.4 Total length M = perimeter of front edges + the inner length of one shelf 1SF substitution of L4 ✓SF ✓M front edges = 2(0,4 m + 0,54 m) + 0,4 m – 2 × 0,02 m 1M subtracting 2 × = 1,88 m + 0,4 – 0,04 m 0,02 m = 1,88 m + 0,36 m✓S 1S simplification = 2,24 m✓CA 1CA answer ⸫ Not valid✓O 1O opinion (5) 3.2.1 Mass = 149 × 0,454 kg✓C 1C conversion M = 67, 646 kg✓A 1A answer L2 ≈ 68 kg✓R 1R rounding (3) Copyright reserved Please turn over

Mathematical Literacy/P2 6 NW/June 2024 Grade 12 – Marking Guideline 3.2.2 mass in kg CA from Q3.2.1 M BMI = (height in m)2 1SF substitution L2 68 kg = ✓SF (1,52 m)2 1CA answer = 29,4 kg/m2 ✓CA (2) 3.2.3 CA from Q3.2.2 M Overweight ✓✓O 2O opinion L4 (2) 3.3.1 ✓RT 1RT correct values M Dose = 40 mg × 60✓MA 1MA multiplication L2 = 2 400 mg (2) 3.3.2 CA from Q3.3.1 M 2 400×5 1MCA multiplication L2 Volume = ml✓MCA 400 and division = 30 ml✓CA 1CA answer (2) 3.3.3 ℉ = (℃ × 1,8) + 32° M 70° = (°C × 1,8) + 32°✓SF 1SF substitution L3 ℃ = (70°- 32°) ÷ 1,8✓M 1M changing subject °C = 21, 111°✓A 1A answer °C = 20°✓R 1R rounding (4) [32] Copyright reserved Please turn over

Mathematical Literacy/P2 7 NW/June 2024 Grade 12 – Marking Guideline QUESTION 4 [20 MARKS] Ques Solution Explanation T/L 4.1 The theatre has seats allocated for people using 2O explanation MP wheelchairs.✓✓O L4 OR Disabled people are also welcome in the theatre.✓✓O Accept any relevant explanation. (2) 4.2 To be entertained.✓✓O 2O reason MP OR L4 For education/religion /social purposes. ✓✓ O OR To relax.✓✓O OR To while away time.✓✓O OR To take away their minds from worries.✓✓O OR To watch a play.✓✓O OR To distress.✓✓O Accept any relevant reason. (2) 4.3 5✓A 1A numerator P Probability = 26✓A 1A denominator L3 = 0,1923… = 0,2✓R 1R rounding (3) 4.4 ✓A 1A easterly MP Move to the aisle and walk Easterly along the aisle 1A north L2 ✓A ✓A ✓A 1A G7 Turn North at G7. Walk in the North direction until you 1A North reach G17. OR OR ✓A 1A east Move to the aisle and walk East passing rows K, J and H. 1A north ✓A ✓A ✓A 1A G7 Turn North at G7 then walk straight until you reach G17. 1A straight OR OR ✓A ✓A ✓A Move in the north direction, turn east at L18 then move 1A north ✓A 1A east easterly until you reach G17. 1A L18 1A easterly Accept left, right and down. (4) Copyright reserved Please turn over

Mathematical Literacy/P2 8 NW/June 2024 Grade 12 – Marking Guideline 4.5 85 minutes = 1 hour 25 minutes✓A 1A time in hours and M End time = 15:15 + 1:25✓M minutes L2 = 16:40✓A 1M addition OR 1A exact time End time = 15:15 + 85 minutes✓M OR ✓A 1M addition = 16:40✓A 1A hours 1A minutes OR OR End time = 15:15 + 45 minutes + 40 minutes✓M 1M addition ✓A 1A hours = 16:40✓A 1A minutes (3) 4.6 ✓MA 1MA 12 × 21ˊˊ M Total length = 2 × 20ˊˊ + 1× 22ˊˊ + 12 × 21ˊˊ✓M 1M addition L3 = 40ˊˊ + 22ˊˊ + 252ˊˊ = 314ˊˊ✓S 1S simplification 314 = cm 0,394 = 796,9543147 cm✓C 1C conversion to cm 796,9543147 = 100 1C conversion to m = 7,96… m✓C 1R rounding = 8 m✓R OR OR 1C conversion to cm ✓C 20ˊˊ = 50,7614 … cm: 1M addition 22ˊˊ = 55,837… cm: 1MA 12 × 53,2999…. cm 21ˊˊ = 53,2999…. cm 1S simplification Total length ✓M ✓MA 1C conversion to m = 2 × 50,76 … cm + 1× 55,83… cm + 12 × 53,29…cm 1R rounding = 101,52222…cm + 55,837….cm + 639,59…cm = 796,9543858 cm✓S 796,9543858 = 100 = 7,96… m✓C = 8 m✓R Copyright reserved Please turn over

Mathematical Literacy/P2 9 NW/June 2024 Grade 12 – Marking Guideline 4.6 OR OR M ✓C L3 20ˊˊ = 50,7614 … cm: 1C conversion to cm 22ˊˊ = 55,837… cm: 21ˊˊ = 53,2999…. cm: 1C conversion to m ✓C 50,7614 … cm = 0,507614 … m 55,837… cm = 0,55837… m 53,2999…. cm = 0,532999…. m Total length 1MA 12 × 0,532999…. M ✓MA 1M addition = 2 × 0,50 … m + 1× 0,55… m + 12 × 0,53…. m ✓M = 1,0152222…m + 0,55837….m + 6,3959…m 1S simplification = 7,969543858 cm✓S 1R rounding = 8 m✓R (6) [20] TOTAL: 100 Copyright reserved