Math P1 2016 Memo June hlayiso.com

Downloaded from hlayiso.com Gr 8 MATHEMATICS JUNE 2016 EXAM MEMO SECTION A Question 1 1 per correct answer 1.1 C 1.2 B 1.3 A 1.4 C 1.5 C 1.6 B 1.7 A 1.8 D 1.9 C 1.10 B [10] QUESTION 2 1 mark per row Number Natural Integer Rational Irrational Real 2.1 3     2.2 √25     22 2.3   7 2.4 3, 1̇2̇   2.5 2,315…   [5]

Downloaded from hlayiso.com QUESTION 3 3.1.1 18 or 24 (accept either one) (1) 3.1.2 49  (1) 3.1.3 13  (1) 3.1.4 8 or 24 (accept either one) (1) 3.1.5 13 (1) 3.1.6 24 (1) 3.2 2 360  for ladder/factor tree, -1 per mistake 2 180 2 90 3 45 3 15 5 5 1 360 = 23 × 32 × 5 (3) [9] QUESTION 4 4.1 2 − 4(−5) = 22 (2) 4.2 (16 × 2 − 8) ÷ 3 = 8 (3) 3 15 3 2 4.3 (2 + 4 )  ÷ (8 − 8)  6 15 8 21 8 = (4  + 4 ) × (1)  = 4  × 1 = 42 (6) [11]

Downloaded from hlayiso.com QUESTION 5 5.1 Four terms  (1) 1 5.2  (1) 3 5.3 2 (1) 𝑦5 5.4 + 7𝑦 2 − 6𝑦 + 2 (-1 per error) (2) 3 (−1)5 5.5 + 7(−1)2 − 6(−1) + 2 3 1 2 = − 3 + 7 + 6 + 2  = 14 3  (3) [8] QUESTION 6 6.1 3𝑎 (1) 6.2 𝑎3  (1) 6.3 −6𝑎 (1) 6.4 −3𝑎2 + 5𝑎2  = 2𝑎2  (2) 6.5 −8𝑥 3  (2) 6.6 −15𝑎4 𝑏 6  (3) 6.7 4𝑎6 𝑏 8  (3) 6.8 3𝑥 2 𝑦 − 5𝑥𝑦 2  (2) 6.9 −3𝑥 + 6 − 8𝑥 − 12 = −11𝑥 − 6 (4) 4𝑥 2  6.10 (3) 𝑦2 5𝑥 2 1 6.11 10𝑥 2  = 2 (2) 6.12 8𝑎4 𝑒 5  (3)

Downloaded from hlayiso.com 6.13 5𝑎 + 2𝑐 + 4𝑏 (3) [30] QUESTION 7 7.1.1 𝑥 + 3 (1) 7.1.2 𝑝 − 5 (1) 7.1.3 𝑚𝑛  (1) 7.1.4 5𝑥 2  (1) 7.1.5 4(𝑥 + 𝑦) (2) 7.2.1 𝑥 = −14 (1) 7.2.2 𝑥 = −72 (1) 7.2.3 12 = 3𝑥 𝑥 = 4 (3) 7.2.4 4𝑥 − 8 − 2𝑥 − 2 = 4 2𝑥 = 14 𝑥 = 7 (4) [15]

Downloaded from hlayiso.com QUESTION 8 8.1.1 Reflex (1) 8.1.2 70°  (1) 8.1.3 Scalene  (1) 8.1.4 Complementary  (1) 8.1.5 180°  (1) 8.2.1 Angles on a straight line  (1) 8.2.2 Vertically opp.  (1) 8.2.3 Revolution  (1) 8.2.4 Co-interior angles PQ||RS (1) 8.2.5 Alternate angles PQ||RS (1) 8.2.6 Corresponding angles RS||TU (1) 8.3.1 𝑏 = 35° Vertically opposite angles  (2) 𝑐 = 45° Angles on a straight line  8.3.2 ℎ = 85° Ext. angles of ∆ (1) 8.3.3 𝑘 = 44° Isosceles ∆ (1) 8.3.4 𝑥 = 160° Alt. angles AB||CD (1) 𝑦 = 20° Angles on a straight line (1) No reason, no mark. No|| lines named, no mark  [17] Total section A: 105

Downloaded from hlayiso.com SECTION B QUESTION 9 4𝑎4 𝑏 8 5𝑎𝑏 2  20𝑎5 𝑏 10 9.1.1 10𝑎2  = 10𝑎2  = 2𝑎3 𝑏10  (4) 16𝑥 6 9.1.2 − 8𝑥 3 = 8𝑥 3  − 8𝑥 3  = 0 (3) 2𝑥 3 9.1.3 2𝑎3 𝑏 + 2𝑎𝑏 3  − 𝑎3 𝑏 − 2𝑎𝑏 3  = 𝑎3 𝑏 (3) 9.2 5𝑥 2 − 5𝑥𝑦 + 9 (3) 9.3 61(2 + 3 + 5) = 610 (do not accept long multiplication) (2) 9.4 𝐴 + 90 = 160  𝐴 = 70 𝑋 = 20 (3) [18] QUESTION 10 10.1.1 2𝑚 − 12 = 24 2𝑚 = 36 𝑚 = 19 (3) 10.1.2 −18 + 3𝑦 + 2𝑦 2 = 9 + 2𝑦 2 + 6𝑦 −3𝑦 = 27 𝑦 = −9 (4) 10.1.3 2𝑥 − 3 = 2𝑥 − 8 −3 = −8 ∴ 𝐹𝑎𝑙𝑠𝑒 𝑒𝑞𝑢𝑎𝑡𝑖𝑜𝑛 (3)

Downloaded from hlayiso.com 10.2 𝑥 + 𝑥 + 1 + 𝑥 + 2 = 72 3𝑥 = 69 𝑥 = 23 ∴ 𝐻𝑒𝑟 𝑏𝑖𝑟𝑡ℎ𝑑𝑎𝑦 𝑖𝑠 𝑡ℎ𝑒 24𝑡ℎ 𝑜𝑓 𝐴𝑝𝑟𝑖𝑙 (4) [14] QUESTION 11 11.1 60° (1) 11.2 85° (1) 11.3 35° + 3𝑥 − 30° + 2𝑥 + 25° = 180° Angles on a str line (give mark if no reason provided and equation is correct) 5𝑥 + 30° = 180° 5𝑥 = 150° 𝑥 = 30° 𝑦 = 85° Corr. angles ST||QR 𝑧 = 60° Co-int angles ST||QR (7) 11.4.1 180° (1) 30 11.4.2 30 + 30 + 3  = 70° (3) [13] Total section B: 45 Total: 150