Mathematical Literacy Grade 10 P2 November 2020 Memo (Eng)

NATIONAL SENIOR SERTIFICATE GRADE 10 NOVEMBER 2020 MATHEMATICAL LITERACY P2 MARKING GUIDELINE (EXEMPLAR) MARKS: 75 Codes Explanation M Method MA Method with Accuracy CA Consistent Accuracy A Accuracy C Conversion D Define J Justification/Reason/Explain S Simplification RD Reading from a table OR a graph OR a diagram OR a map OR a 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 AO Answer only NPR No penalty for rounding OR omitting units This marking guideline consists of 5 pages.

(EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 2 QUESTION 1 [30 marks] Quest. Solution Explanation Topic and Level 1.1.1 3 White sugar = 4 cup 3 1 M Multilpy M = 4 × 250 mℓ ✓M = 187 mℓ ✓CA 1 CA Answer L3 (2) 1.1.2 2 dozen = 12 × 2 = 24 ✓A 1 A total of muffins 1 1 M Multiply M 24 muffins = 4 × 2 cups ✓M 1 = 2 cup ✓A 1A Answer L3 (3) 1.1.3 Total time = 10 + 25 = 35 min 1 M Adding time M ✓M 1 M Addition L2 = 10h18 + 35 min ✓M 1 CA Answer = 10h35 ✓CA (3) 1.1.4 Degrees Celsius = (ͦ F – 32 ͦ ) ÷ 1,8 ✓SF 1 SF Substitution M = (400 ͦ F – 32 ͦ ) ÷ 1,8 ✓M 1 M Method L2 = 204,4 ℃ ✓A 1 A Answer (3) 1.1.5 1 cup milk = 250 ml ✓SF 1 SF Substitution M 250 = 1 000 ✓M 1 M divide by 1 000 L3 1 A Answer = 0,25 ℓ milk ✓A (3) 1.1.6 To raise school funds ✓✓ O 2 O Opinion M To complete school project ✓✓O L4 OR 2 O Opinion Accept any logical explanation (4) 1.2.1 Circumference = 3,2 + 3 + 1,7 + 2 (✓A) + 1 2 A for 1,5 m and 2 m M + 1,5 (✓A)✓M 1 M Addition L3 = 12,4 m ✓CA 1 CA Answer (4) 1.2.2 Area = l × b M = (3,2 × 3) – (2 × 1,5) ✓SF 1SF Substitution L2 = 9,6 – 3 ✓M 1 M Subtracting = 6,6 𝑚2 ✓CA 1 CA Answer (3) 1.2.3 Height 40 cm = 0,4 m ✓C 1C Conversion M Volume = 3,2 × 3 × 0,4 ✓SF 1SF Substitution L3 = 3,84 𝑚3 ✓M 1 M Method = 3 840 000 𝑐𝑚3 3 840 000 = 1 000 mℓ ✓S 1 S Simplification = 3 840 litres ✓C 1C Conversion (5) [30] Copyright reserved Please turn over

(EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 3 QUESTION 2 [13 marks] Quest. Solution Explanation Topic and Level 2.1. 1 1M to get radius M Radius = 2 × diameter ✓M 1 L2 = 2 × 0,3 m = 0,15 m ✓CA 1 CA Answer (2) 2.2 2 1 SF Substitution in M Volume = 𝜋𝑟 × h ✓SF = 3,142 × (0,15)2 × 1,2 𝑚 ✓✓M 1 M Multiplication L3 = 0,084 834 𝑚3 ✓C 1 M Multiplication = 84,834 ℓ ✓ CA ✓ A 1 C Conversion 1CA Answer 1 A correct unit (6) 2.3 Circumference = 𝜋𝑑 M = 3,142 × 0,3 ✓SF 1 SF Substitution L2 = 0,9 426 m ✓S 1S Simplification = 94,26 cm ✓C 1C Conversion (3) 2.4 Job Creation ✓✓ O 2 O Opinion M OR L4 To keep the environment clean. Accept any other logical explanation. (2) [13] Copyright reserved Please turn over

(EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 4 QUESTION 3 [20 marks] Quest. Solution Explanation Topic and Level 3.1 Rectangle ✓A 1A 1st shape M Circle ✓A 1A 2nd shape L2 (2) 3.2 Diameter = 3,9 – (0,15 × 2 m) ✓SF ✓M 1SF Substitution M = 3,6 m ✓A 1M Method L2 1A and Correct unit (3) 3.3 Radius (r) = 1,8 m M Area of floor = (3,9 × 4,1) + ½ 𝜋𝑟 2 ✓S 1S Substitution L3 = 15,99 + 5,09 m ✓M 1M Addition = 21,08 m ✓CA 1CA Answer (3) 3.4 Area of Part A = 3,9 × 4,1 ✓SF ✓M 1 SF Substitution M = 15, 99 ✓A 1M Multiplication L2 1A Answer (3) 3.5 Area of one tile = 30 × 30 M = 0,3 × 0,3 ✓C 1C Conversion L3 = 0,09 m ✓A 1A Area of one tile 15,99 Total of tiles = 0,09 ✓M 1M Division = 177,7 ✓CA 1CA Answer = 178 tiles ✓R 1R Rounding (5) 3.6 178 1M Divide by 10 M Number of boxes = 10 ✓M 1A number of boxes L3 = 17,8 ✓A 1 R Correct rounding = 18 boxes ✓R The statement is valid. ✓C 1C Conclusion (4) [20] Copyright reserved Please turn over

(EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 5 QUESTION 4 [12 marks] Quest Solution Explanation Topic and Level 4.1 Ratio scale ✓A 1A Correct scale MP 1unit on scale represents 15 000 000 units in L2 reality ✓✓A 2A Interpretation (3) 4.2 North East ✓✓A 2A correct direction MP (2) L2 4.3 4 cm or 40 mm ✓A 1A Accurate measure MP Actual Distance = 4 × 15 000 000 ✓M 1M Multiplication L3 = 60 000 000 cm 60 000 000 1M Dividing = 100 000 ✓M = 600 km ✓CA [Allow variance from 3,9 – 4,1 km] 1CA Answer (4) 4.4 Western Cape ✓A 1A Correct province P 1 1M Division L3 Probability = 9 ✓M 1R Rounding = 0,11 ✓R (3) [12] TOTAL: 75 Copyright reserved Please turn over