MATHEMATICS GR7 MEMO NOV2017_English_hlayiso.com_.pdf

Downloaded from hlayiso.com SENIOR PHASE GRADE 7 NOVEMBER 2017 MATHEMATICS MARKING GUIDELINE MARKS: 100 This marking guideline consists of 7 pages.

Downloaded from hlayiso.com 2 MATHEMATICS (EC/NOVEMBER2017) GENERAL MARKING NOTES 1. Give full marks for answers only, unless stated otherwise. 2. Accept any alternative correct solutions that are not included in the marking guidelines. 3. CA refers to consistent accuracy. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER2017) MATHEMATICS 3 Questions Expected answers Clarification Marks 1. 1.1 A / 9 348 000  1 1.2 B / six tenth  1 1.3 D / 20  1 1.4 B/  1 1.5 C / 12  1 1.6 B / 1; 2; 4; 5; 10; 20  1 1.7 A/8 1 1.8 C / 12  1 1.9 C / Equilateral triangle  1 1.10 B / -2  1 2. 17  1 3. 3.1 -4  Learner must show the diagrams on the number line. 1 3.2 8 or +8  1 4. 4.1 𝓍=9 1 4.2 𝓍 = 50  1 5. 5.1 4 1 Accept any x3 5 3 correct 4 10 =5 x 3 method. Apply CA 40 = 15 10 =2 15  2 =23 2 5.2 324,348 342,227 Accept any correct + 17,879 - 6,507 method. 342,227  335,720  Apply CA 2 5.3 0,048 Accept any 8 correct = 0,006  method. Apply CA 2 Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICS (EC/NOVEMBER2017) 3 5.4 √144 - 24 – 4 + √27 Accept any = 12 – 16 – 4 + 3 correct = -4 – 4 + 3  method. = -8 + 3  Apply CA =-5 3 5.5 Discount = R600 – R324 = R276 Accept any 276 100 correct % discount = 600 x 1 276 method. = 6  Apply CA = 46%  2 5.6 5 32 Accept any x 1 = 20 boys  8 3 32 correct x 1  = 12 girls  method. 8 Apply CA 3 5.7 Year 1: 5% of R1 500 Accept any 5 1 500 correct x 1 = R75  x 2 years = R150  100 method. R 1 500 + R150 = R 1 650  Apply CA 3 5.8 12 ÷ 2 = 6 ÷ 2 = 3 years old  2 6. NUMBER OF NUMBER OF BLACK TILES WHITE TILES 1 5 2 7 3 9 4 (6.1) 11  5 13 (6.2) 50  103 n (6.3) 2n + 3  3 6.4 Two multiplied by the number of black tiles plus three is Apply CA equal to the number of white tiles.  2 Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER2017) MATHEMATICS 5 7. 1 1 2 4 3𝑥 − 2 5 13 10 28 2 8. 8.1 The 𝑥– 𝑣𝑎𝑙𝑢𝑒 times two is equal to the 𝑦 − Accept any 𝑣𝑎𝑙𝑢𝑒. correct method. Apply CA 2 8.2 𝑥 x 2 = 𝑦  Accept any correct method. Apply CA 2 9. 9.1 27 1 9.2 24 1 10. 1 x 1 = 16 17 and more 2x2= 9 1 mark. 3x3= 4 30 full marks 4x4= 1 16 + 9 + 4 + 1 = 30  2 11. 11.1 9 ℎ𝑜𝑢𝑟𝑠  1 11.2 25 𝑚𝑚  1 11.3 Linear  1 11.4 50 𝑚𝑚.  It’s a linear relationship and  it has a constant increase of 5 mm. 2 12. 𝓍 x 8 = 𝑅920  Accept any = 𝑅920 ÷ 8 correct 𝓍 = 𝑅115  method. Apply CA 2 13. 𝐴𝑛𝑔𝑙𝑒 𝐵 = 90° ; 𝐴𝑛𝑔𝑙𝑒 𝐴 = 45°; 𝐴𝑛𝑔𝑙𝑒 𝐶 = 45°  𝐴𝑛𝑔𝑙𝑒𝑠 𝐴 and 𝐵 are complementary angles  2 14. 14.1 B 1 14.2 C 1 14.3 D 1 14.4 A  1 14.5 Cylinder  1 Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICS (EC/NOVEMBER2017) 15.   2 16. Congruent  Similar  2 17.   2 18. 18.1 ⃡𝐺𝐵 ⊥ ⃡𝐴𝐶  1 18.2 ⃡𝐴𝐶 ll ⃡𝐷𝐹  1 18.3 900  1 18.4 Right angle /  1 18.5 𝐴𝐸̂ 𝐷 = 30°  Accept any Because 𝐵𝐸̂ 𝐴 + 𝐴𝐸̂ 𝐷 = 900  correct Complementary Angles = 900  method. Apply CA 3 19. 𝒶 = 80° Both are acute angles of 80° and it is the same shape that translates.  2 Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER2017) MATHEMATICS 7 20. 𝑃 = 35 𝑚𝑚 + 10 𝑚𝑚 + 25 𝑚𝑚 + 20𝑚 𝑚 + Accept any 25 𝑚𝑚 + 10 𝑚𝑚 + 35 𝑚𝑚 + 40 𝑚𝑚 = 200 𝑚𝑚  correct method. Apply CA 2 21. 21.1 Total surface area – sum of the areas of the six Accept any rectangles: correct 𝐴 = [(5 × 2) + (5 × 2) + (5 × 4) + (5 × 4) + (4 × 2) method. + (4 × 2)]𝑚2  Apply CA = 10 𝑚2 + 10 𝑚2 + 20 𝑚2 + 20 𝑚2 + 8 𝑚2 + 8 𝑚2  = 76 𝑚2  4 21.2 Number of litres of paint needed: 126 𝑚2 ÷ 6 𝑚2/ℓ = 21 ℓ 2 22. 𝑉𝑜𝑙𝑢𝑚𝑒 = 𝑙 x 𝑏 x ℎ  Accept any = 30 𝑚𝑚 x 30 𝑚𝑚 x 30 𝑚𝑚  correct = 27 000 𝑚𝑚3  method. = 27 𝑐𝑚3  Apply CA 4 23. 23.1 20 𝑙𝑒𝑎𝑟𝑛𝑒𝑟𝑠  1 23.2 38 – 10 = 28  1 23.3 75%  2 23.4 24,7  2 24. 1  6 1 25. 25.1 𝑅30  1 25.2 37,5%  1 25.3 3 ∶ 5  1 TOTAL: 100 Copyright reserved Please turn over