Kansas City Area Teachers of Mathematics 2016 KCATM Math Competition
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1 Kansas City Area Teachers of Mathematics 2016 KCATM Math Competition GEOMETRY AND MEASUREMENT TEST GRADE 5 INSTRUCTIONS Do 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 answer sheet by FILLING in the oval. You may not use rulers, protractors, or other measurement devices on this test. Student Name School
2 51. Name the type of angle shown below. A. Straight B. Acute C. Obtuse D. Right 52. Identify the geometric shape shown below. A. Rectangular Prism B. Rectangular Pyramid C. Triangular Prism D. Triangular Pyramid 53. Find the area of the rectangle: A. 19 cm B. 38 cm 2 C cm 2 D cm Find the area of the triangle: A. 48 in. B. 48 in 2 C. 12 in 2 D. 24 in 2 PAGE 1
3 Use the Math Fair Coordinate grid for problems # What are the coordinates of the Dunking Booth? A. (-5, 0) B. (0, -5) C. (5, 0) D. (0, 5) 56. What is the distance from the Refreshments to the Cake Walk? A. 6 B. 7 C. 8 D If three of the four vertices of a rectangle are H, G, and E, what would be the coordinates of the 4 th vertex of the rectangle? A. (-5, 5) B. (1, 0) C. (-1, 0) D. (0, 1) 58. Looking at the model of the volume of the rectangular solid, what would be the volume of the rectangular solid? A. 6 cu. units B. 10 cu. units C. 30 cu. units D. 26 cu. units PAGE 2
4 59. What is the volume of the swimming pool below that has a deep end that is 10 ft. deep and a shallow area that is 5 ft. deep. A cu. ft B. 850 cu. ft. C. 54 cu. ft. D. 70,000 cu. ft. 60. A parallelogram has both pair of opposite sides parallel. Which of the following geometric shapes are parallelograms? A. Rectangle B. Square C. Rhombus D. A, B, and C 61. Which of the following areas show half of a half of the given rectangle? A. B. C. D. 62. Name the triangle by sides and angles. A. Isosceles Scalene Triangle B. Isosceles Right Triangle C. Equilateral Triangle D. Scalene Right Triangle 63. Amelia went to the store to buy 1 liter of milk, but they only had smaller containers of 250 ml. How many of them would she have to buy to have 1 liter of milk? A. 10 B. 8 C. 4 D. 2 PAGE 3
5 64. You build a staircase out of cubes. If it takes 6 cubes to make 3 steps, how many would it take to make 11 steps? A. 66 B. 33 C. 99 D Given the solid shape, how many cubes would be in it? A. 75 B. 125 C. 150 D What would be the total number of cubes in the 5 shapes below? A. 175 B. 125 C. 150 D Which shapes are in the giraffe? A. Hexagons B. Parallelograms C. Trapezoid D. Squares E. All of the above PAGE 4
6 68. How many dots would be in Step 7 of the triangular numbers? A. 15 B. 21 C. 28 D. 35 Convert from one unit to the other within the metric system for problems # cm = mm A. 64,673 mm B mm C. 646,730 mm D. 6,467,300 mm liters = ml A. 5,300 ml B. 530 ml C ml D. 5,300,000 ml grams = kg A. 8.0 kg B kg C kg D kg 72. The longest race in the Summer Olympics is the 10,000 meter race. How far is that in kilometers? A. 1,000 km B. 100 km C. 0.1 km D. 10 km 73. The distance from Earth to the sun is million kilometers. How far is that in meters? A m B. 149,600 m C. 1,496,000,000 m D billion PAGE 5
7 Convert from one unit to the other within the standard system for problems # It is one mile to school. How far is that in feet? A. 3,000 ft. B. 5,000 ft. C. 5,280 ft. D. 6,280 ft. 75. A deck may be 15 ft. long, how far is that in inches? A. 150 in. B. 180 in. C. 200 in. D. 120 in. 76. A car may weigh 2 tons. How many pounds would that be? A. 1,000 lbs. B lbs. C. 3,000 lbs. D. 4,000 lbs. 77. You are purchasing 2 gallons of lemonade. You want to pour 8 oz. glasses of lemonade. How many 8 oz glasses can you get out of 2 gallons? A. 32 glasses B. 64 glasses C. 48 glasses D. 16 glasses 78. What is the measure of the missing angle, x o? A. 97 o B. 118 o C. 165 o D. 155 o x o. 79. Find the missing angle measure, x o, in the triangle. x o A. 40 o B. 60 o C. 80 o D. 100 o PAGE 6
8 80. What instrument and what type of lines are shown? A. Compass; perpendicular B. Compass; parallel C. Protractor; perpendicular D. Protractor; parallel Use the diagram for # What is the perimeter of the figure above? A. 13 cm B. 14 cm C. 15 cm D. 18 cm 82. What is the area of the figure above? A. 18 cm 2 B. 10 cm 2 C. 72 cm 2 D. 13 cm The volume formula for a cylinder is : Find the volume of the cylinder below to the nearest hundredth. A cm 3 B cm 3 C cm 3 D cm 3 PAGE 7
9 84. What is the area of the obtuse triangle? A. 60 ft. 2 B. 18 ft. 2 C. 39 ft 2 D. 30 ft What time do you have to leave for the airport to be 1.5 hrs. early, so you can check in for your flight? It takes you 45 minutes to drive to the airport. Your plane departs at 12:15pm. A. 9:45 am B. 10:00am C. 10:15am D. 10:30am 86. What geometric shape are beehives? A. Octagon B. Decagon C. Hexagon D. Pentagon 87. Surface area is the area of the outside of a package. What is the surface area of the cube below? A. 64 sq. units B. 48 sq. units C. 72 sq. units D. 96 sq. units PAGE 8
10 88. Supplementary angles are two angles whose sum is 180 o. If one angle is given below, find the angle measure of its supplement. A. 90 o B. 180 o C. 125 o D. 115 o F. None of the above Use the rectangle and the triangle graphed for problems # What is the area of the rectangle? A. 16 sq. units B. 15 sq. units C. 18 sq. units D. 20 sq. units 90. Which figure has the larger area and by how much? A. Rectangle by 3 sq. units B. Triangle by 3 sq. units C. Rectangle by 9 sq. units D. Triangle by 9 sq. units E. The areas are equal. PAGE 9
11 Shade the correct answer! Example: A B C D E Name School 51. A B C D E 71. A B C D E 52. A B C D E 72. A B C D E 53. A B C D E 73. A B C D E 54. A B C D E 74. A B C D E 55. A B C D E 75. A B C D E 56. A B C D E 76. A B C D E 57. A B C D E 77. A B C D E 58. A B C D E 78. A B C D E 59. A B C D E 79. A B C D E 60. A B C D E 80. A B C D E 61. A B C D E 81. A B C D E 62. A B C D E 82. A B C D E 63. A B C D E 83. A B C D E 64. A B C D E 84. A B C D E 65. A B C D E 85. A B C D E 66. A B C D E 86. A B C D E 67. A B C D E 87. A B C D E 68. A B C D E 88. A B C D E 69. A B C D E 89. A B C D E 70. A B C D E 90. A B C D E PAGE 10
12 Shade the correct answer! Example: A B C D E ANSWER KEY Name School 51. A B C D E 71. A B C D E 52. A B C D E 72. A B C D E 53. A B C D E 73. A B C D E 54. A B C D E 74. A B C D E 55. A B C D E 75. A B C D E 56. A B C D E 76. A B C D E 57. A B C D E 77. A B C D E 58. A B C D E 78. A B C D E 59. A B C D E 79. A B C D E 60. A B C D E 80. A B C D E 61. A B C D E 81. A B C D E 62. A B C D E 82. A B C D E 63. A B C D E 83. A B C D E 64. A B C D E 84. A B C D E 65. A B C D E 85. A B C D E 66. A B C D E 86. A B C D E 67. A B C D E 87. A B C D E 68. A B C D E 88. A B C D E 69. A B C D E 89. A B C D E 70. A B C D E 90. A B C D E PAGE 11
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