Grade 9 Maths English Test_hlayiso.com_.pdf

Downloaded from hlayiso.com NATIONAL ASSESSMENT GENERAL EDUCATION CERTIFICATE (GEC) 2022 GRADE 9 PILOT STUDY Subject: Mathematics Marks: 75 Duration: 90 Minutes This test consists of 29 pages, excluding the cover page.

Downloaded from hlayiso.com Grade 9 Mathematics: English 1

Downloaded from hlayiso.com Instructions to the learner 1. Read all the instructions and questions carefully. 2. Answer all questions. 3. Use the provided answer book to write all your answers. 4. Do the necessary calculations before choosing the correct answer in Section A. 5. Non-programmable scientific calculators may be used, unless stated otherwise. 6. Diagrams are not necessarily drawn to scale; all lines are regarded as straight lines unless stated otherwise. The test starts on the next page. Do not turn the page until you are told to do so. Grade 9 Mathematics: English 2

Downloaded from hlayiso.com SECTION A 1. What kind of a number is √5? A A natural number B A whole number C A rational number D An irrational number (1) 2. What is the LCM of 14 and 16? A 224 B 112 C 4 D 2 (1) A car travels 180 km in 2 hours on a straight road. 3. How many km can the car travel in 210 minutes at the same speed? A 630 km B 25,7 km C 102,9 km D 315 km (1) 3[−(−3 +17)] − (−4) × 2 4. Which of the following is the correct answer? A 50 B 46 C −40 D −34 (1) Grade 9 Mathematics: English 3

Downloaded from hlayiso.com 𝑎 = 2 and 𝑏 = 3 5. 3(−2𝑎×𝑏)+6𝑎2 𝑏2 What is the value of ? 𝑎𝑏 A 18 B 30 C 42 D 48 (1) (−4)3 √64 3 + − (22 ) √4 × √8 2 6. What is the value in simplest form of the expression? A −16 B 16 C −3 D 3 (1) 4𝑎12 ÷ 4𝑎3 7. What is the answer in simplest form of the expression? A 𝑎4 B 𝑎9 C 𝑎15 D 𝑎36 (1) Grade 9 Mathematics: English 4

Downloaded from hlayiso.com 5−1 + 6−1 5−1 × 6−1 8. What is the answer in simplest form? A 60 11 B 11 30 C 2 D 11 (1) [2(𝑥 2 × 𝑥 3 )2 ]3 9. What is the answer in simplest form? A 2𝑥10 B 4𝑥15 C 6𝑥 36 D 8𝑥 30 (1) (25)0 − (5)0 + 54 × 52 ÷ (53 )2 10. What is the answer in simplest form? A 1 B 5 C 21 D 45 (1) Grade 9 Mathematics: English 5

Downloaded from hlayiso.com 11. How many dots will be in the next hexagonal prism? A 19 B 24 C 25 D 28 (1) 1 𝑎 ; 4 ; 1 ; 4 ; 𝑏 ; ... 12. What are the values of 𝑎 and 𝑏? 1 A 𝑎 = 8 and 𝑏 = 8 1 B 𝑎 = 16 and 𝑏 = 8 1 C 𝑎 = 16 and 𝑏 = 16 1 D 𝑎 = 4 and 𝑏 = (1) 4 Grade 9 Mathematics: English 6

Downloaded from hlayiso.com Tables and chairs are arranged such that in every second arrangement the tables are not joined together. The arrangements indicate the number of people that can occupy the tables and chairs. 13. What is the rule to determine the number of people for the 7𝑡ℎ arrangement? A 7𝑛 B 4𝑛 C 12𝑛 D 16𝑛 (1) In a soccer match, a referee, two linesmen and 2 captains shake hands before the start of the game. 14. How many handshakes will there be in total? A 10 handshakes B 4 handshakes C 5 handshakes D 20 handshakes (1) (𝑥 4 + 𝑥 3 – 𝑥 2 ) ÷ 4 15. What is the coefficient of 𝑥 2 ? A 1 B −1 1 C − 4 D 1 (1) 4 Grade 9 Mathematics: English 7

Downloaded from hlayiso.com 4𝑎𝑥 2 + 3𝑎𝑥𝑦 − 14𝑎𝑥 + 7𝑥𝑎𝑦 + 𝑥 2 16. Which of the following are like terms in the expression? A 4𝑎𝑥 2 + 𝑥 2 B 3𝑎𝑥𝑦 − 14𝑎𝑥 C 7𝑥𝑎𝑦 − 14𝑎𝑥 D 7𝑥𝑎𝑦 + 3𝑎𝑥𝑦 (1) (2𝑥 − 3𝑦)(𝑥 + 5𝑦) 17. What is the product? A 2𝑥 2 + 7𝑥𝑦 − 15𝑦 2 B 2𝑥 2 − 7𝑥𝑦 − 15𝑦 2 C 2𝑥 2 + 17𝑥𝑦 + 15𝑦 2 D 2𝑥 2 − 17𝑥𝑦 + 15𝑦 2 (1) 16𝑥 3 − 2𝑥 (−3𝑥 − 𝑥) −2𝑥 2 18. What is the expression in its simplest form? A 8𝑥 + 4 B 8𝑥 − 4 C −8𝑥 + 4 D −8𝑥 − 4 (1) 1 − 9𝑎2 19. What are the factors of the expression? A (1 − 3𝑎)(1 − 3𝑎) B (1 − 3𝑎)(1 + 3𝑎) C (1 − 9𝑎)(1 − 9𝑎) D (1 − 9𝑎)(1 + 9𝑎) (1) Grade 9 Mathematics: English 8

Downloaded from hlayiso.com 3𝑥 3 + 9𝑥 2 − 30𝑥 20. What are the factors of the expression? A 𝑥(𝑥 − 5)(𝑥 + 2) B 𝑥(𝑥 + 5)(𝑥 − 2) C 3𝑥(𝑥 − 5)(𝑥 + 2) D 3𝑥(𝑥 + 5)(𝑥 − 2) (1) The area of a rectangle is 𝑥 2 − 𝑥 − 2 21. What is the length (L) and width (W) of the rectangle in terms of 𝑥? A L = (𝑥 + 2) and W = (𝑥 + 1) B L = (𝑥 + 2) and W = (𝑥 − 1) C L = (𝑥 − 1) and W = (𝑥 − 2) D L = (𝑥 + 1) and W = (𝑥 − 2) (1) 6𝑥 2 +18𝑥−60 𝑥 2 −4 ÷ 8𝑥 48𝑥 22. What is the simplest form of the expression? 𝑥+2 A 𝑥+5 𝑥−2 B 𝑥−5 𝑥+5 C 𝑥+2 𝑥−5 (1) D 𝑥−2 Grade 9 Mathematics: English 9

Downloaded from hlayiso.com 15𝑠 4 − 15𝑧 4 23. What are the factors if the expression is factorized fully? A 15(𝑠 4 − 𝑧 4 ) B 15(𝑠 2 − 𝑧 2 )(𝑠 2 + 𝑧 2 ) C 15(𝑠 − 𝑧)(𝑠 + 𝑧)(𝑠 2 + 𝑧 2 ) D 15(𝑠 − 𝑧)(𝑠 + 𝑧)(𝑠 + 𝑧)(𝑠 + 𝑧) (1) 𝑥 − 5 = −7 24. What is the value of 𝑥? A 2 B 12 C −2 D −14 (1) 3𝑥 + 1 =5 2 25. What is the value of 𝑥? A −4 B 4 C −3 D 3 (1) 𝑥(𝑥 − 4) = 0 26. What is the solution of the equation? A 𝑥 = −4 or 𝑥 = 0 B 𝑥=0 or 𝑥 = 4 C 𝑥=0 D 𝑥 = −4 (1) Grade 9 Mathematics: English 10

Downloaded from hlayiso.com 6𝑥−1 = 36 27. What is the value of 𝑥? A 2 B 3 C −1 D −3 (1) 𝑦 = 12𝑥 − 18 and 𝑦 = −6 28. What is the value of 𝑥? A −1 B 1 C 2 D −2 (1) 𝑥 −1 0 1 2 3 4 𝑦 𝑎 2 3 6 11 18 29. What is the value of 𝑎? A 3 B 1 C −2 D −3 (1) Grade 9 Mathematics: English 11

Downloaded from hlayiso.com 18𝑥 2 − 24𝑥 = 0 30. What is the solution of the equation? 3 A 𝑥 = 0 or 𝑥 = 4 B 4 𝑥 = 0 or 𝑥 = − 3 3 C 𝑥 = 0 or 𝑥 = − 4 D 4 (1) 𝑥 = 0 or 𝑥 = 3 4𝑥 2 − 4𝑥 = 48 31. What is the solution of the equation? A 𝑥 = −2 or 𝑥 = 6 B 𝑥=3 or 𝑥 = −4 C 𝑥=2 or 𝑥 = −6 D 𝑥 = −3 or 𝑥 = 4 (1) The diagonal of a rectangle is 9 cm more than its width. The length of a rectangle is 7 cm more than its width. 32. What is the area of the rectangle? A 120 cm² B 130 cm² C 63 cm² D 56 cm² (1) Grade 9 Mathematics: English 12

Downloaded from hlayiso.com 33. What is the rule for the flow diagram? A 𝑦 =𝑥−1 B 𝑦 = −𝑥 − 1 C 𝑦 = 2𝑥 − 4 D 𝑦 = −2𝑥 − 4 (1) Grade 9 Mathematics: English 13

Downloaded from hlayiso.com 3𝑦 = −𝑥 − 3 34. Which of the following representations is true for the given function? A 1 𝑦= 𝑥−1 3 B 𝑥 −3 −2 −1 0 1 2 𝑦 0 −1 2 3 C D (1) 𝑥 1 2 3 7 𝑧 𝑦 3 6 11 51 258 35. What is the value of 𝑧? A 64 B 32 C 16 D 8 (1) Grade 9 Mathematics: English 14

Downloaded from hlayiso.com 𝑥 −2 −1 0 1 2 𝑦 4 4 4 4 4 36. Which graph represents the line that is represented in the table above? A B C D (1) Grade 9 Mathematics: English 15

Downloaded from hlayiso.com 37. Which of the following ordered pairs represents the graph? A 𝑥 −2 −1 0 1 2 𝑦 20 16 4 8 4 3 3 3 3 B 𝑥 −2 −1 0 1 2 𝑦 20 16 −4 8 4 − − − − 3 3 3 3 C 𝑥 −2 −1 0 1 2 𝑦 4 8 4 16 20 3 3 3 3 D 𝑥 −2 −1 0 1 2 𝑦 4 8 −4 16 20 − − − − (1) 3 3 3 3 Grade 9 Mathematics: English 16

Downloaded from hlayiso.com Line AB is defined by 2𝑥 − 𝑦 = 8. 38. What is the equation of the line passing through point (−2 ; 4) and perpendicular to the line AB? 1 A 𝑦= 𝑥+5 2 B 𝑦 = 2𝑥 + 8 C 𝑦 = 2𝑥 − 8 1 (1) D 𝑦 =− 𝑥+3 2 39. What are the co-ordinates of the image of 𝐴(−3 ; 5), reflected in the X–axis? A 𝐴′(3 ; 5) B 𝐴′(−3 ; −5) C 𝐴′(−5 ; −3) D 𝐴′(5 ; 3) (1) 40. What is the rule which maps K (2 ; 5) K′ (−2 ; 5)? A (𝑥 ; 𝑦) (−𝑥 ; 𝑦) B (𝑥 ; 𝑦) (𝑥 − 2 ; 𝑦) C (𝑥 ; 𝑦) (𝑥 + 2 ; 𝑦) D (𝑥 ; 𝑦) (𝑥 ; −𝑦) (1) Grade 9 Mathematics: English 17

Downloaded from hlayiso.com 41. Which statement describes the transformation of line segment AB? A Translated 5 units up. B Reflected in the X – axis. C Translated 5 units down. D Reflected in the Y – axis. (1) Grade 9 Mathematics: English 18

Downloaded from hlayiso.com 42. ̂C? What is the size of AE A 60° B 90° C 180° D 360° (1) 43. ̂ D? What is the size of the angle that is vertically opposite to EO A 80° B 60° C 50° D 40° (1) Grade 9 Mathematics: English 19

Downloaded from hlayiso.com 44. Why is Ĉ = 38°? A Alternate angles AB‖CD B Corresponding angles AB‖CD C Supplementary angles D Vertically opposite angles (1) 45. ̂ C? What is the size of AO A 15° B 25° C 30° D 40° (1) Grade 9 Mathematics: English 20

Downloaded from hlayiso.com 46. What is the value of 𝑥? A 85° B 55° C 30° D 50° (1) 47. Which statement best describes an isosceles triangle? A One angle is 900 . B One angle is greater than 900 . C Two sides and two angles are equal. D Two angles opposite equal sides are equal. (1) Grade 9 Mathematics: English 21

Downloaded from hlayiso.com AB∥CD. ∆GMH is an equilateral ∆. 48. What is the value of y? A 25° B 20° C 60° D 35° (1) Grade 9 Mathematics: English 22

Downloaded from hlayiso.com AC∥DE, F̂ = 58°, Ĉ = 86°, GE = 8 cm, EF = 12 cm, FG = 4 cm, AC = 4 cm, AB = 6 cm and BC = 2 cm. 49. ̂1? What is the size of E A 36° B 58° C 86° D 22° (1) Grade 9 Mathematics: English 23

Downloaded from hlayiso.com ̂ 2 = 420 ABCD is a rhombus, B 50. What is the size of AĈD? A 210 B 420 C 480 D 960 (1) ABCD is a parallelogram with ED∥BF, AE=ED and F̂2 = 680 . 51. What is the size of ̂ A? A 560 B 680 C 1120 D 1360 (1) Grade 9 Mathematics: English 24

Downloaded from hlayiso.com 52. What is the length of AC? A 13 m B 23 m C 17 m D 15 m (1) A rectangle has a perimeter of 40 cm. 53. What is the maximum area of the rectangle? A 75 cm2 B 84 cm2 C 100 cm2 D 160 cm2 (1) A rectangle ABCD is divided into 20 equal smaller rectangles. AB = 5 cm and BC = 4 cm. 54. What is the area of 2 smaller rectangles? A 1 cm2 B 2 cm2 C 3 cm2 D 4 cm2 (1) Grade 9 Mathematics: English 25

Downloaded from hlayiso.com The circle has an area of 36𝜋 mm2. 55. What is the circumference of a circle? A 12𝜋 mm B 18𝜋 mm C 36 mm D 72 mm (1) A baked pie with radius of 3 cm is divided equally amongst 3 children. 56. What is the length of the part of the circumference obtained by 2 children, correct to 2 decimal places? A 6,28 cm B 12,57 cm C 37,70 cm D 56,55 cm (1) h = 6 cm 57. What is the volume of the triangular prism? A 336 cm3 B 672 cm3 C 168 cm3 D 504 cm3 (1) Grade 9 Mathematics: English 26

Downloaded from hlayiso.com 58. What is the surface area? A 709 cm2 B 735 cm2 C 1716 cm2 D 1012 cm2 (1) The capacity of a can is 300 ml and the height of the can is 13 cm. 59. What is the diameter of the can, correct to 2 decimal places? A 2,71 cm B 5,42 cm C 11,5 cm D 17,03 cm (1) The surface area of a rectangular prism is 3640 cm2, the width is double the height and height = 140 mm. 60. What is the length of the prism? A 26 cm B 13 cm C 34 cm D 70 cm (1) [60] Grade 9 Mathematics: English 27

Downloaded from hlayiso.com SECTION B 2𝑦 = 2𝑥 + 4 61. Sketch the graph representing the above equation. (3) A(1 ; 2) ,B (−2 ; 3), C(−4 ; −1) are the vertices of ∆ABC. 62. Draw the image of ∆ABC after the translation (𝑥 ; 𝑦) (𝑥 ; 𝑦 − 4). (3) ̂ P = 540 , NP NMQR is a parallelogram, MN ̂R = 𝑦, MN = MP, RQ = QP. 63. What is the value of 𝑦? (Give reasons for your statements.) (4) Grade 9 Mathematics: English 28

Downloaded from hlayiso.com Jabu travelled 2 km from home to point A. He then travelled from point A to B. The distance from home to B is 1 km. He further travelled 3 km from point B to the shop and then straight to school. In the afternoon he travelled from school straight home. 64. What is the total distance travelled on the day, correct to 1 decimal place? (5) [15] End of test Grade 9 Mathematics: English 29

Downloaded from hlayiso.com Grade 9 Mathematics: English 30