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
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
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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
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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
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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
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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.
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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:
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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
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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?
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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.
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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.
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