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Yr 9 Maths, A4 Name: ______________________ 2005 Term 3 Year 9 Mathematics Assessment 4 2005 Term 3 Section A (Pythagoras) 1 2 3 4 5 6 7 8 9 10 11 12 13 A A A A A A A A A A A A A B B B B B B B B B B B B B C C C C C C C C C C C C C D D D D D D D D D D D D D Section B (Indices) 1 2 3 4 5 6 7 8 9 10 11 12 13 A A A A A A A A A A A A A B B B B B B B B B B B B B C C C C C C C C C C C C C D D D D D D D D D D D D D Multiple Choice: Extended Answer: Total: /13 /31 /44 Multiple Choice: Extended Answer: Total: /13 /24 /37 R Laugesen (tinyrock.com) 1/10 17-Oct-08 Yr 9 Maths, A4 Name: ______________________ 2005 Term 3 Section A (Pythagoras) Multiple Choice [1 mark each] 1. Which side is the hypotenuse A) PR B) PQ C) QR D) P 2. How long is the hypotenuse A) 11 B) 60 C) 61 D) 71 3. Which is a correct version of Pythagoras’ equation A) 102 = 82 + 62 B) 82 = 102 + 62 C) 62 = 82 + 102 D) 10 = 8 + 6 4. Which is a correct version of Pythagoras’ equation A) a2 = b2 + c2 B) b2 = c2 + a2 C) c2 = a2 + b2 D) c = a + b R Laugesen (tinyrock.com) 2/10 17-Oct-08 Yr 9 Maths, A4 Name: ______________________ 2005 Term 3 5. How long is the hypotenuse A) 17 m B) 289 m C) 15 m D) 23 m 6. What is the value of d A) 80 m B) 50 m C) 2500 m D) 10 m 7. What is the value of d A) 15 m B) 23 m C) 225 m D) 16.5 m 8. What is the value of x (1 decimal place) A) 7.4 m B) 2304 m C) 6.3 m D) 24.0 m R Laugesen (tinyrock.com) 3/10 17-Oct-08 Yr 9 Maths, A4 Name: ______________________ 2005 Term 3 9. Is the following triangle a right-angled triangle? A) Yes B) No 10. Is the following triangle a right-angled triangle? A) Yes B) No 11. What is the value of x A) 119 mm B) 82 cm C) 91 mm D) 89 mm 12. How far up the tower does the wire reach (1 decimal place) A) 17.3 m B) 19.1 m C) 30.3 m D) 200.1 m R Laugesen (tinyrock.com) 4/10 17-Oct-08 Yr 9 Maths, A4 Name: ______________________ 2005 Term 3 13. How far does the ladder reach up the wall (closest centimetre) A) 198 cm B) 25 cm C) 2 m D) 187 cm Extended Answer 14. Write Pythagoras’ equation for the following triangle [2] 15. Write Pythagoras’ equation for the following triangle [2] R Laugesen (tinyrock.com) 5/10 17-Oct-08 Yr 9 Maths, A4 Name: ______________________ 2005 Term 3 16. Write three labels for the hypotenuse [3] 17. Calculate the value of y (1 decimal place) [2] 18. Calculate the value of c (1 decimal place) [2] 19. Calculate the value of d (1 decimal place) [2] 20. Calculate the value of w (1 decimal place) [2] 21. Calculate the value of m (1 decimal place) [2] R Laugesen (tinyrock.com) 6/10 17-Oct-08 Yr 9 Maths, A4 Name: ______________________ 2005 Term 3 22. How long is the diagonal of the following TV set (1 decimal place) [3] 23. Complete the following sentence: Pythagoras’ theorem only works for a __________ triangle, and the hypotenuse is the ___________ side of that triangle. 24. Calculate how long the pencil is (1 decimal place) [2] [3] 25. Calculate the perimeter of the following triangle (1 decimal place) [3] 26. Find the length of AB (1 decimal place) [3] R Laugesen (tinyrock.com) 7/10 17-Oct-08 Yr 9 Maths, A4 Name: ______________________ 2005 Term 3 Section B (Indices) Multiple Choice [1 mark each] 1. What is the name of the seven (7) in this: 79 A) Base B) Power C) Hypotenuse D) Indice 27. What is a name of the nine (9) in this: 79 A) Base B) Log C) Exponent D) Top 28. 43 is the equivalent to A) 4 x 4 x 4 29. 23 is the equal to A) 23 30. B) 8 C) 6 D) 2 B) 3 x 3 x 3 C) 12 D) 3 x 3 x 3 x 3 9 is the equal to A) 9 B) 3 C) 81 D) 4.5 31. 4 20 is the equivalent to 1 A) 20 4 B) 4 1 20 C) 20 4 D) 5 32. 4 3 × 4 7 is the equivalent to A) 4 4 B) 4 21 C) 410 D) 810 33. 8× 8 4 is the equivalent to A) 85 B) 8 4 C) 64 4 D) 8 0 34. 712 ÷ 710 is the equivalent to A) 7 2 B) 7 22 C) 7 4 D) 12 7 35. 96 is the equivalent to 93 A) 9 9 B) 9 3 C) 13 D) 9 2 R Laugesen (tinyrock.com) 8/10 17-Oct-08 Yr 9 Maths, A4 Name: ______________________ 2005 Term 3 36. 5 4 () 3 is the equivalent to B) 51 C) 512 D) 20 3 A) 5 7 37. 3× 10 4 is the equivalent to A) 340 B) 3000 C) 3100 D) 30000 38. 80 is the equivalent to A) 1 B) 8 C) 80 D) 14 Extended Answer 39. Write 40. Write 3 876 to 1 decimal place 25 as a fractional index [2] [2] 41. Simplify the following: a. 128 ÷ 12 8 b. 5 3 × 5 −2 c. d. [1] [1] [1] [1] 63 6 (2 ) 22 42. Write 5 62 as a fractional index [2] 43. Simplify this: (6 ) 64 23 [3] 44. Circle the larger value: a. 1 x 104 b. 2.3 x 102 c. 1 x 10 -3 OR OR OR OR 1 x 106 2.6 x 102 3 x 10 -3 [1] [1] [1] [1] [2] [2] d. 12 x 10-5 12 x 10-8 45. Write 2.3 x 105 as a decimal number 46. Write 2.3 x 10-5 as a decimal number R Laugesen (tinyrock.com) 9/10 17-Oct-08 Yr 9 Maths, A4 Name: ______________________ 2005 Term 3 47. Simplify the following, keep your answers in scientific notation: a. (3 x 107) x (2 x 103) b. (6 x 108) ÷ (3 x 104) c. (5 x 10 ) 43 [1] [1] [1] R Laugesen (tinyrock.com) 10/10 17-Oct-08