加拿大数学10年级练习第四部分几何.doc

1. Find the ratio of the perimeter of the larger rectangle to the perimeter of the smaller rectangle.2. Find the area of the triangle with ∠A = 41, b = 5 ft, and c = 4 ft. Round your answer to two decimal places. 6.56 ft2 10.00 ft2 7.55 ft2 13.12 ft2 3. Find the area of kite ABCD if BD = 48 cm, AB = 25 cm, and BC = 26. The kite is not drawn to scale. 289 cm2 70 cm2 816 cm2 408 cm2 4. The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. About how much room is there between the ball and the rim in a shot in which the ball goes in exactly in the center of the rim? 4.2 in. 8.45 in. 4.78 in. none of these 5. Find the area. 718 square units 545 square units 534.5 square units 701 square units 6. Name the major arc and find its measure. m = 275 m = 170 m = 85 m = 275 7. Find the area of the regular polygon. Round your answer to the nearest tenth. 40.0 in.2 220.5 in.2 67.6 in.2 110.2 in.2 8. Name the minor arc and find its measure. m = 275 m = 85 m = 170 m = 275 9. Find the area of ΔABC. The figure is not drawn to scale. 26.06 cm2 28.00 cm2 22.73 cm2 24.95 cm2 10. Find the circumference of the circle. Use as an approximation of π. 2 cm 11 cm 5 cm 6 cm 11. If a dart hits the target at random, what it the probability that it will land in the unshaded region?12. Find the area of the circle. Use π = 3.14 and round to the nearest hundredth. 91.56 m2 16.96 m2 5.72 m2 22.89 m2 13. Find the area of a regular pentagon with side 6 cm. 76.6 cm2 61.9 cm2 45.2 cm2 123.9 cm2 14. Find the probability that an object falling randomly on the figure will land in the shaded area. 0.32 0.36 0.5 0.26 15. Find the area. 102.9 yd2 205.8 yd2 35.35 yd2 105.5 yd2 16. Two concentric circles have radii of 14 cm and 24 cm. Find the probability to the nearest thousandth that a point chosen at random from the circles is located outside the smaller circle and inside the larger one. 0.066 0.583 0.017 0.660 17. A slide that is inches by inches is projected onto a screen that is 3 feet by 7 feet, filling the screen. What will be the ratio of the area of the slide to its image on the screen? 1 : 112 1 : 2304 2 : 4205 1 : 12,544 18. Find the area of a regular octagon with perimeter 48 cm. 188.1 cm2 190.5 cm2 347.6 cm2 173.8 cm2 19. Dorothy ran 6 times around a circular track that has a diameter of 47 m. Approximately how far did she run? Use π = 3.14 and round your answer to the nearest meter. 885 m 1328 m 443 m 1734 m 20. Find the area. 10.26 cm2 61.56 cm2 1. Find the volume of the cylinder in terms of π. 24π in.3 48π in.3 56π in.3 288π in.3 2. Find the volume of the cylinder in terms of π. 287π in.3 275π in.2 275π in.3 287π in.2 3. A sphere has a volume of 288π ft3. Find the surface area of the sphere. 864π ft2 48π ft2 144π ft2 96π ft2 4. The volumes of two similar solids are 2197 m3 and 64 m3. The surface area of the larger one is 845 m2. What is the surface area of the smaller one? 64 m2 320 m2 80 m2 none of these 5. Use a net to find the surface area of the prism. 114 m2 240 m2 290 m2 145 m2 6. Find the surface area of a sphere that has a diameter of 4 cm. 64π cm2 π cm3 4π cm2 16π cm2 7. Find the lateral area and the surface area of the cone. Use 3.14 for π and round the answer to the nearest hundredth. The diagram is not to scale. lateral area: 733.33 ft2; surface area: 690.80 ft2 lateral area: 6908.00 ft2; surface area: 1004.80 ft2 lateral area: 690.80 ft2; surface area: 1004.80 ft2 none of these 8. If the ratio of the radii of two spheres is 7 : 2, what is the ratio of the surface areas of the two spheres? 7 : 2 7r2π : 2r2π 49 : 4 343 : 8 9. Use a net to find the surface area of the prism. 465 m2 720 m2 918 m2 930 m2 10. Find the height of the cylinder to the nearest tenth of an inch. 94.6 in. 96.6 in. 4.3 in. 4.1 in. 11. Use formulas to find the lateral area and the surface area of the prism. Show your answer to the nearest hundredth. 63.00 m2; 567.00 m2 36.00 m2; 1134.00 m2 479.22 m2; 533.22 m2 542.22 m2; 596.22 m2 12. Find the volume of the prism. 942 m3 38 m3 945 m3 1890 m3 13. The volumes of two similar solids are 1331 m3 and 343 m3. The surface area of the larger one is 484 m2. What is the surface area of the smaller one? 343 m2 1372 m2 196 m2 none of these 14. Find the surface area of the sphere. 648π m2 72π m2 324π m2 1296π m2 15. Find the volume of the prism. 40.5 m3 162 m3 。