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Year 9 Maths Assessment 3

Assessment task for the Mathematics junior curriculum. NSW Board of Studies stage 5 year 9 level. Developed and improved over a number of years while working as a secondary school teacher. PART OF A SERIES

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Year 9 Mathematics Assessment 3 2005 Term 2 Year 9 Mathematics Assessment 3 2005 Term 2 Geometry Section Multiple Choice 1. What is the complement of 33o a) 33o b) 147o c) 57o d) 90o 2. What is the supplement of 80o a) 10o b) 80o c) 63o d) 100o 3. What type of angle is indicated in the diagram a) alternate b) corresponding c) co-interior d) bottom-sided 4. What type of angle is indicated in the diagram a) alternate b) corresponding c) co-interior d) twisted 5. What type of angle is indicated in the diagram a) alternate b) corresponding c) co-interior d) inside 6. In an equilateral triangle, all the angles are equal to a) 30o b) 60o c) 90o d) 10o tinyrock.com 1/10 21/6/2005 Year 9 Mathematics Assessment 3 2005 Term 2 7. In a right angle triangle, one of the angles must equal a) 30o b) 60o c) 90o d) 10o 8. The value of ho in this triangle is a) 30o b) 50o c) 230o d) 70o 9. The value of yo in this triangle is a) 34o b) 94o c) 344o d) 214o 10. The value of mo in this triangle is a) 100o b) 60o c) 120o d) 30o 11. What type of angle is 30o a) acute b) obtuse c) reflex d) right 12. What type of angle is 120o a) acute b) obtuse c) straight d) right 13. What type of angle is 230o a) acute b) revolution c) reflex d) right 14. How many sides does a hexagon have a) 7 b) 6 c) 10 d) 17 tinyrock.com 2/10 21/6/2005 Year 9 Mathematics Assessment 3 2005 Term 2 15. How many sides does a pentagon have a) 4 b) 5 c) 9 d) 3 16. What type of polygon is shown in the diagram a) trapezium b) parallelogram c) rhombus d) kite 17. What type of polygon is shown in the diagram a) trapezium b) parallelogram c) rhombus d) kite 18. What type of polygon is shown in the diagram a) trapezium b) parallelogram c) rhombus d) kite 19. What type of polygon is shown in the diagram a) trapezium b) parallelogram c) rhombus d) kite 20. The value of mo in this quadrilateral is tinyrock.com 3/10 21/6/2005 Year 9 Mathematics a) 6o Assessment 3 b) 96o c) 126o 2005 Term 2 d) 86o 21. Which type of quadrilateral must have all its angles equal to 90o a) triangle b) square c) rhombus d) kite 22. How many sides does a decagon have a) 48 b) 7 c) 10 d) 4 23. What type of sides does a polyhedron have a) flat b) curved c) rough d) smooth 24. How many faces does a cylinder have a) 6 b) 3 c) 2 d) 1 25. How many faces does a hexagonal prism have a) 6 b) 8 c) 4 d) 10 26. How many edges does a rectangular prism have a) 8 b) 4 c) 12 d) 6 27. How many platonic solids are there a) 10 b) 5 c) 3 d) infinite 28. The value of wo in this diagram is tinyrock.com 4/10 21/6/2005 Year 9 Mathematics Assessment 3 2005 Term 2 a) 185o b) 5o c) 80o d) 270o 29. The value of yo in this diagram is a) 185o b) 50o c) 140o d) 180o 30. What type of solid is this a) Pyramid b) Corner c) Prism d) Platonic Extended Answers 31. Sketch the top, front, and right views of this solid. 32. Sketch the following solid. tinyrock.com 5/10 21/6/2005 Year 9 Mathematics Assessment 3 2005 Term 2 33. Sketch the top, front, left-side, and right-side views of this solid. 34. Draw a horizontal cross section of the following solids. 35. Each angle in a regular polygon is 140o. How many sides does it have? 36. For the angle PQR: a. Measure the angle with a protractor: b. State which type of angle it is: tinyrock.com 6/10 21/6/2005 Year 9 Mathematics Assessment 3 2005 Term 2 37. For the marked angle: a. Measure the angle with a protractor: b. State which type of angle it is: 38. For this regular hexagonal, find: a. the sum of angles b. the size of one angle 39. This is one of the platonic solids. What is it called? 40. Calculate the value of eo 41. Calculate the value of vo tinyrock.com 7/10 21/6/2005 Year 9 Mathematics Assessment 3 2005 Term 2 42. Calculate the value of ao 43. Calculate the value of lo and ko 44. Find the value of ko in the diagram. 45. Calculate the value of mo in diagram a and b 46. Calculate the value of the angle CBF 47. A ___________ polygon has all angles equal and all sides equal. 48. If a regular polygon has an exterior angle of 10o, how many sides does it have? tinyrock.com 8/10 21/6/2005 Year 9 Mathematics Assessment 3 2005 Term 2 49. Find the size of an interior angle in a seven-sided regular polygon. 50. State the complete name of these solids: 51. State whether each of these solids are right prisms or oblique prisms Consumer Arithmetic 52. Tim earns $46,812 per year 53. How much does he earn each week 54. How much does he earn each fortnight 55. How much does he earn each month 56. Vesna’s job pays her $11.20 per hour, and works 36 hours per week. How much is she paid each month. tinyrock.com 9/10 21/6/2005 Year 9 Mathematics Assessment 3 2005 Term 2 57. Who has the highest hourly rate of pay? Kate has a salary of $36,000 per year and works 36 hours per week. Glen works 45 hours per week and is paid $960 per week. 58. David works 40 hours at $20 per hour and 5 hours overtime at timeand-a-half. Calculate his total weekly earnings. 59. Christy works for 40 hours at $35 per hour and 2 hours overtime at double-time. Calculate his total weekly earnings. 60. The Dodgy Bro’s Furniture Repairs pays employees a normal rate of $7.50 per hour Monday – Friday, time-and-a-half on Saturdays, and double-time on Sundays. Geneva works 8 hours each day. She works Monday, Tuesday, Thursday, Friday, and Sunday. Calculate how much she should be paid for the week. tinyrock.com 10/10 21/6/2005

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