Kansas City Area Teachers of Mathematics 2010 KCATM Math Competition

Transcription

1 Kansas ity rea Teachers of Mathematics 2010 KTM Math ompetition GEOMETRY N MESUREMENT TEST GRE 5 INSTRUTIONS o not open this booklet until instructed to do so. Time limit: 15 minutes You may use calculators on this test. Use the key on your calculator or as the approximation for pi. Mark your answer on the Scantron sheet by FILLING in the oval. You may not use rulers, protractors, or other measurement devices on this test.

2 1. What is the best description of the figure shown in Figure 1? a) acute c) obtuse b) right d) straight 2. Which choice best describes Figure 2? a) line EF c) ray FE F Figure 2 b) ray EF d) line segment FE 3. How many sides does pentagon have? a) 5 c) 10 b) 6 d) Which of the following is a representation of a sphere? a) a roadway construction cone c) a can of soup b) a basketball d) a shoe box For questions #5-7, refer to the coordinate plane shown in Figure Which point has the coordinates of (4,-3)? a) c) Y +6 b) d) E If triangle E is formed, which name best describes it? a) acute c) obtuse b) right d) isosceles -6-4 E E -2-4 Figure 1 X 7. Which point has the coordinates of (-2, 3)? a) c) b) d) 12-6 Figure 3 PGE 1

3 For questions #8-9, refer to the Figure 4. is 50 cm long. Point is the center of the circle. 8. What is the length of the radius of the circle in Figure 4? a) 10 cm c) 20 cm b) 25 cm d) 50 cm 9. To the nearest one-tenth of a cm, what is the circumference of the circle in Figure 4? a) 47.1 cm c) 78.5 cm b) 62.8 cm d) cm 10. What is the perimeter of triangle in Figure 5? a) cm c) cm b) cm d) 711 cm Figure cm 42.4 cm 30 cm 47.4 cm Figure What statement is NOT always true? a) square is a rectangle. b) square is a parallelogram. c) square is a rhombus. d) square is a quadrilateral. e) ll statements are always true. 12. How many feet are in a 1/2 mile? a) 1760 c) 5280 b) 2640 d) If two lines are perpendicular, what type of angle is formed? a) acute c) obtuse b) right d) straight 14. person leaves Kansas ity at 10:30am and arrives in St. Louis at 2:45pm, how long did it take to drive to St. Louis? a) 4 ¼ hours c) 4 ¾ hours b) 4 ½ hours d) 5 ¼ hours PGE 2

4 Use the geoboard in Figure 6 shown below answer questions # The distance between each dot on the geoboard is 2 cm. 2 cm Figure 6 2 cm E 15. How many lines of symmetry could be drawn on the figure E? a) 1 c) 3 b) 2 d) What is the perimeter of figure? a) 7 cm c) 24 cm b) 14 cm d) 28 cm 17. What is the area of figure? a) 8 sq. cm c) 24 sq. cm b) 16 sq. cm d) 32 sq. cm 18. What is the area of figure? a) 8 sq. cm c) 28 sq. cm b) 16 sq. cm d) 32 sq. cm 19. What is the ratio of the area of figure to the area of E? a) 1/2 c) 2/1 b) 4/1 d) 1/4 20. In Figure 7, what is the best description of transformation that changes shape into shape? a) reflection c) rotation b) translation d) dilation Shape Figure 7 Shape PGE 3

5 21. What is the sum of the interior angles of a convex quadrilateral? a) 180 o c) 540 o b) 360 o d) 720 o 22. Figure 8 shows a room of a house that needs carpet. If carpet costs $3.25 per square foot, what would it cost to carpet this room with a square corner of 5ft is cut from the corner? 15 ft 5 ft 20 ft. 25 ft. a) $ c) $ b) $ d) $ t what temperature does water freeze in Fahrenheit? a) 0 c) 100 b) 32 d) 212 Figure How many faces does the polyhedron shown in Figure 9 have? a) 2 c) 5 b) 9 d) 6 Figure Point is the center of the circle shown in Figure 10. What statement is NOT true? a) is a chord c) is a radius b) is a diameter d) 26. n angle measuring 60 is what type of angle? a) acute c) right b) obtuse d) straight Figure What is the measure of the complementary angle to a 38 angle? a) 42 o c) 142 o b) 52 o d) 180 o PGE 4

6 28. What is the difference in area of 2 squares, one with sides 3 meters and the second with sides of 4 meters longer than the first square? a) 7 sq. meters c) 21 sq. meters b) 40 sq. meters d) 49 sq. meters 29. The distance on a map is given by the scale: 1 inch = 70 miles. How far is it if the map measures 3 ½ inches? a) 220 miles c) 210 miles b) 222 miles d) 245 miles 30. How many quarts are there in 6 gallons? a) 12 c) 18 b) 24 d) How many grams are in a kilogram? a) 100 c) 10,000 b) 1,000 d) 1,000, Which of the following is the closest to the length of one kilometer? a) a truck c) half a mile b) a mile d) a computer desk 33. Which of the following is reasonable? a) math book weighs 1 gram. b) baseball bat is 2 meters long. c) pleasant day in Kansas ity is 30 o. d) 5 th grader weighs 5 kilograms. 34. Which of the following is NOT reasonable? a) 5 th grader has a height of 1 ½ yards. b) container of milk holds 8 pints. c) NSR driver can have a speed of 200 miles per hour on the Kansas Speedway. d) room in your house is 14 kilometers long. e) ll measures are reasonable. PGE 5

7 35. triangle has two angles with measures of 36 and 43. What is the measure of the third angle? a) 22 o c) 112 o b) 101 o d) 91 o 36. What is the volume of the rectangular prism in Figure 11? a) 55 cu. cm c) 600 cu. cm b) 460 cu. cm d) 750 cu. cm 10 cm 37. What is the area of the picture frame (black) if the picture is 4 by 6 and the outside dimensions of the frame measure 5 by 7 in Figure cm Figure cm a) 11 sq. in. c) 8 sq. in. b) 4 sq. in. d) 12 sq. in. Figure What is the probability of the spinner landing on a consonant in Figure 13 with all sectors equal in size? a) 1/4 c) 3/4 b) 1/2 d) 7/8 H G F E 39. You buy a piece of fabric for spring head wraps. It is 1 square yard. How many 1 yard long wraps can you cut from the fabric if the width of each wrap is to be 4 inches? a) 4 c) 12 b) 6 d) Which figure is a rotation of figure Z in Figure 14? Figure 13 Figure 14 Z PGE 6

8 Shade the correct answer! Example: a b c d e Name School 1. a b c d e 21. a b c d e 2. a b c d e 22. a b c d e 3. a b c d e 23. a b c d e 4. a b c d e 24. a b c d e 5. a b c d e 25. a b c d e 6. a b c d e 26. a b c d e 7. a b c d e 27. a b c d e 8. a b c d e 28. a b c d e 9. a b c d e 29. a b c d e 10. a b c d e 30. a b c d e 11. a b c d e 31. a b c d e 12. a b c d e 32. a b c d e 13. a b c d e 33. a b c d e 14. a b c d e 34. a b c d e 15. a b c d e 35. a b c d e 16. a b c d e 36. a b c d e 17. a b c d e 37. a b c d e 18. a b c d e 38. a b c d e 19. a b c d e 39. a b c d e 20. a b c d e 40. a b c d e PGE 7

9 Shade the correct answer! Example: a b c d e Name School 1. a b c d e 21. a b c d e 2. a b c d e 22. a b c d e 3. a b c d e 23. a b c d e 4. a b c d e 24. a b c d e 5. a b c d e 25. a b c d e 6. a b c d e 26. a b c d e 7. a b c d e 27. a b c d e 8. a b c d e 28. a b c d e 9. a b c d e 29. a b c d e 10. a b c d e 30. a b c d e 11. a b c d e 31. a b c d e 12. a b c d e 32. a b c d e 13. a b c d e 33. a b c d e 14. a b c d e 34. a b c d e 15. a b c d e 35. a b c d e 16. a b c d e 36. a b c d e 17. a b c d e 37. a b c d e 18. a b c d e 38. a b c d e 19. a b c d e 39. a b c d e 20. a b c d e 40. a b c d e PGE 8