KZN Maths Grade 8 September 2022 QP and Memo

Downloaded f rom Mathematics September 2022 UMKHANYAKUDE DISTRICT GRADE 8 MATHEMATICS TEST SEPTEMBER 2022 TIME: 1 HOUR MARKS: 50 INSTRUCTIONS: 1. Answer ALL questions, Show ALL calculations. 2. Remember to give reasons where applicable. 3. Make use of the calculators. 4. Do not write with a pencil. 5. Number the answers correctly according to the numbering. used in this question paper. 6. This question paper consists of 3 questions. 1

Downloaded f rom Mathematics September 2022 QUESTION 1: MULTIPLE CHOICE QUESTIONS, CHOOSE THE CORRECT ANSWER, i.e 1.8 = F 1.1 Solve for x if 3x - 7 = 5 A. x  10 B. x  4 C. x   D. x  3 (2 ) 1.2 If DE // FG, then the value of x is: 20° D E F x G A. 160° B. 20° C. 18° D. 60° (2) 1.3 Find the value of x: 52° 3x - 15° 44° A. x =30° B. x =36° C. x =37° D. x =33° (2) 1.4 2y = 128, then the value of y is: A. y= 12 B. y = 64 C. y = 14 D. y = 7 (2) 1.5 If a = −1,b = − 3 and c = 4,the value of these expressions 3b − c 2 A. = 4 B. = -12 C. = D. = 25 (2) [10] 2

Downloaded f rom Mathematics September 2022 QUESTION 2 2.1 Simplify the following expressions: 2.1.1 2a(3a + b) − 3a(2a + 4b) (3) If a = −2, b = − 4 and c = 6, find the value of these expressions: 2.1.2 abc (2) b 2.1.3 Solve for x: 3x = 81 (2) 2.1.4 2x −1 = 15 (3) [10] QUESTION 3: Find the value of the unknown variables, by giving reasons for your answers: 3.1 x + 20° 40° (3) 3.2 35° x 40° (3) 3.3 2x - 30° (4) 3

Downloaded f rom Mathematics September 2022 3.4 20° 2 x + 10° (4) 3.5 2y - 20° x + 56° y + 50° x + 4° (8) 3.6 z +150° 4z +60° (4) 3.7 80° 110° 60° d (4) [30] TOTAL MARKS = 50 4

Downloaded f rom UMKHANYAKUDE DISTRICT GRADE 8 MATHEMATICS SEPTEMBER 2022 MARKING GUIDELINES MARKS: 50 This consists of 3 pages including the cover page 1

Downloaded f rom QUESTION 1 1.1 = B √√ 1.2 = B √√ 1.3 = D √√ 1.4 = D √√ 1.5 = D √√ [10] QUESTION 2 2.1.1 6a2 + 2ab - 6a2 - 12ab  6a2  -12ab = -10ab  answer 2.1.2 (-2)(-4)(6)  Substitution -4  answer = 48 -4 = -12 2.1.3 3x = 34  34 X=4  Answer 2.1.4 2x = 16  16 2x = 24  24 X=4  answer [10] QUESTION 3 3.1 X + 20° = 40° …….vert opp angles  S X = 20°  R  answer 3.2 x + 35° + 40° = 180° ……sum of angles on a str. Line  S X = 105°  R  answer 3.3 2x - 30° + 2x - 30° + 2x - 30° = 180° …..sum of angles on a triangle  S 6x - 90° = 180°  R 6x = 270°  6x X = 45°  answer 3. 4 2x + 10° = 90° + 20° …ext. angle = sum of 2 opp int. Angle  S 2x = 100°  R X = 50°  100°  answer 3.5 x + 56° + x + 4° = 180° …..co-int. Angles  S 2x = 120°  R X = 60°  120°  Answer 2y - 20° = y + 50° ………alt. Angles  S 2y - y = 50° + 20°  R Y = 70°  Grouping like terms  answer 3.6 4z + 60° = z + 150° ………opp angles of a PARM are =  S 4z - z = 150° - 60°  R 3z = 90°  90° Z = 30°  answer 2

Downloaded f rom 3.7 d + 80° + 110° + 60° = 360° …sum of angles on a quad.  S D = 360° - 250°  R D = 110°  250°  answer [30] TOTAL MARKS = 50 3