Math 10C: Measurement PRACTICE EXAM
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1 Math 10C: Measurement PRACTICE EXAM 1. The distance from your house to a friend s house is best measured using: A. a tape measure. B. a 30 cm ruler. C. Vernier calipers. D. a trundle wheel The actual distance between Grande Prairie and Medicine Hat is: A. 430 km B. 508 km C. 787 km D. 896 km Grande Prairie 4.3 cm Medicine Hat 3. The diameter of a trundle wheel is 45 cm. If a person walks for 0.7 km, how many times has the wheel rotated? Map Scale: 1:18,300,000 A. 495 B. 644 C. 781 D The length of the line segment is: A. 1.2 B C. 1.5 D
2 5. 4 yd. is equivalent to: A. 144 B. 16 ft. C mi. D. 320 cm ft. is equivalent to: A B cm C yd. D mi mi. is equivalent to: A m B yd. C km D ft m is equivalent to: A km B. 11 yd. C mi. D m is equivalent to: A mi. B km C. 400 yd D Five students measure their height using different units. Andrew is 176 cm, Brittney is 5 4, Calvin is 1.8 yards, Don is 54 inches, and Elisha is 1.6 metres. From shortest to tallest, the order of the students is: A. Don, Andrew, Brittney, Calvin, Elisha B. Don, Elisha, Brittney, Calvin, Andrew C. Brittney, Elisha, Calvin, Don, Andrew D. Calvin, Andrew, Don, Brittney, Elisha
3 11. A homeowner is laying sod in her lawn. The lawn is a rectangle with dimensions of If one piece of sod is a rectangle with dimensions of 60 cm 40 cm, approximately how many pieces of sod should the homeowner order? A. 195 B. 245 C. 295 D The surface area of the rectangular pyramid is: A. 478 cm 2 B. 483 cm 2 C. 488 cm 2 D. 493 cm 2 10 cm 16 cm 11.3 cm 12 cm 13. The slant height of the cone is: A. 11 m B. 12 m C. 13 m D. 14 m Cone Data SA = m 2 V = m 3 s =? 14. A square pyramid has a base measuring 5 ft. by 5 ft. The height of the pyramid, from the centre of the base to the apex is 7 ft. Calculate the surface area of the pyramid. 6 m A. 99 ft 2 B. 104 ft 2 C. 109 ft 2 D. 114 ft A cylindrical water tank with an open top has a volume of 5702 m 3 and a radius of 11 m. Calculate the height of the tank. A. 14 m B. 15 m C. 16 m D. 17 m
4 16. The volume of the 3-D object shown is: A. 905 cm 3 B. 910 cm 3 C. 915 cm 3 D. 920 cm 3 6 cm 12 cm 17. The surface area of the 3-D object shown is: 15 cm A cm 2 B cm 2 C cm 2 D cm 2 5 cm 20 cm 30 cm 18. The cosine ratio for the angle θ is: A B C D cm θ 13 cm 5 cm 19. The angle θ in the triangle shown is: A. 42 B. 47 C. 52 D. 57 θ 68 cm 50 cm
5 20. The value of x is: A. 40 cm B. 45 cm 48 cm θ 73 cm C. 50 cm D. 55 cm x 21. The sketch on the right was drawn by a surveyor who is trying to determine the distance between two trees across a river. Using the information in the sketch, calculate the distance between the trees. A. 83 m B. 88 m C. 93 m D. 98 m m 22. A 16 ft. ladder is leaning against the roof of a house. The angle between the ladder and the ground is 62. How high above the ground is the base of the roof? A. 8 ft. B. 10 ft. C. 12 ft. 16 ft. D. 14 ft The value of x is: A cm B cm C cm D cm cm 15 x
6 24. The value of x is: A cm B cm x C cm D cm cm 25. The value of θ is: A. 1.2 B. 2.8 C. 3.5 D. 4.4 θ 6.0 cm 7.0 cm 26. Janis lives on the 4 th floor of her apartment building. From her window, she has to tilt her head 52 upwards to see the top of the neighbouring building. She has to look down 35 to see the base of the neighbouring building. The distance between the buildings is 80 m. The height of the neighbouring building is: 48 A m B m C m D m 27. Kevin and Rob are standing on opposite sides of Edmonton s River Valley. In order to see a boat on the river, Kevin has to look down 32, and Rob has to look down 38. The width of the valley is 750 m, and the boat is exactly halfway between Kevin and Rob. How much higher is Rob than Kevin? Kevin Rob A. 54 m B. 59 m C. 64 m 750 m D. 69 m
7 Measurement - ANSWER KEY Video solutions are in italics. 1. D Metric and Imperial, Introduction (b) 2. C Metric and Imperial, Example 1c 3. A Metric and Imperial, Example 5b 4. D Metric and Imperial, Example 6e 5. A Metric and Imperial, Example 8e 6. D Metric and Imperial, Example 9f 7. C Metric and Imperial, Example 10b 8. D Metric and Imperial, Example 11c 9. A Metric and Imperial, Example 11f 10. B Metric and Imperial, Example 13a 11. A Metric and Imperial, Example 14a 12. C Surface Area and Volume, Intro (d) 13. A Surface Area and Volume, Example 1b 14. A Surface Area and Volume, Example 2a 15. B Surface Area and Volume, Example 2b 16. A Surface Area and Volume, Example 3b 17. B Surface Area and Volume, Example 6a 18. B Trigonometry I, Example 1d 19. B Trigonometry I, Example 2d 20. D Trigonometry I, Example 3b 21. A Trigonometry I, Example 5a 22. D Trigonometry I, Example 5b 23. A Trigonometry II, Example 1a 24. C Trigonometry II, Example 2c 25. A Trigonometry II, Example 3b 26. C Trigonometry II, Example 4a 27. B Trigonometry II, Example 6
8 Math 10C Practice Exam: Tips for Students Every question in the practice exam has already been covered in the Math 10C workbook. It is recommended that students refrain from looking at the practice exam until they have completed their studies for the unit. Do not guess on a practice exam. The practice exam is a self-diagnostic tool that can be used to identify knowledge gaps. Leave the answer blank and study the solution later.
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