GEOMETRY & MEASUREMENT

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GEOMETRY & MESUREMENT 1 1. The measure for a stud for a wall must be 72. Which of the following studs is allowed? 4 a. 72.7 in b. 72.31 in c. 71.81 in d. 71.2 in 2. t a bolt manufacturing company, 6 bolts were measured before being sold. ny bolt measuring more than 0.0 would not be sold. Which of the following bolts will be stocked on the shelf? a. 6.04 in b. 6. in c..94 in d.. in 3. If the thermometer outside reads 104 F, what is the temperature in degrees? a. 72 b. 8 ( F 32) 9 c. 40 d. 8 4. If the thermometer outside reads 1, what is the temperature in degrees F? a. 9 b. 47 c. 41 d. 3 9 F 32. The volume of a container is 3 gallons. How many cups are in the container? [ 1 gallon = 4 quarts; 1 quart = 4 cups ] a. 12 b. 16 c. 24 d. 48 6. You buy a 1 2 gallon of fruit punch, 1 2 gallon of orange juice and 1 2 gallon of pink lemonade. How many ounces of fluid did you buy altogether? [ 1 gallon = 4 quarts; 1 quart = 4 cups; 1 cup = 8 oz ] a. 128 b. 192 c. 16 d. 24 7. Nick has a quarter. Which is the most appropriate unit of measure for width of the quarter? a. millimeter b. centimeter c. meter d. kilometer 8. Lisa s dog has a bad ear infection so she took it to the vet. The doctor prescribed a liquid antibiotic for the infection. Which is the most appropriate unit of dosage? a. milliliter b. liter c. centigram d. gram

9. Which liquid measurement is the most precise? a. 2 cups b. 2 oz c. 2 quarts d. 2 gallons 10. Which measurement is the most precise? a. 1 foot b. 1 inch c. 1 mm d. 1 cm 11. How precise is this ruler? a. 1 in b. 8inches c. 1 8 inch d. 1 16 inch 12. Jeff has an 8 ft 6 in board. If he cuts 2 ft 10 in off how much is left? a. ft 6 in b. 6 ft 6 in c. ft 8 in d. 6 ft 8 in 13. When Mike was 10 years old he was 4 ft 11 in. When he graduated at 18 he was 6 ft 3 in. What was the amount of growth per year? a. 2 in b. 16 in c. 8 in d. 1. in 14. Gas prices in 1990 were $1.9 per gallon. In 200 gas prices rose to $3.4 per gallon. What was the amount of increase per year? a. $0.01 b. $0.10 b. $0.1 d. $0.30 1. Which measurement best describes the area of a wall? a. 100 ft b. 100 ft 2 c. 100 ft 3 d. 100 ft 4 16. If Sara puts a fence around her yard, what measurement does she need to find? a. perimeter b. area d. volume d. surface area 17. What is the perimeter of the given figure? 18 8 12 18. What is the perimeter of the given figure? 20 a. 63 un b. 100 un c. 88 un d. 70 un 17 a. 2 un b. 62 un 8 12 c. 64 un d. 74 un 2

19. The sides of a rectangle have lengths of x + 3 and 2x 1. Which equation describes the perimeter, P, of the rectangle in terms of x? a. P = 7x + 2 b. P = 14x + 2 c. P = 7x 2 d. P = 14x + 4 20. The sides of a rectangle have lengths of 2x + 4 and x 3. Which equation describes the area,, of the rectangle in terms of x? a. = 2x 2 12 b. = 2x 2 + 2x 12 c. = 2x 2 2x 12 d. = 2x 2 + 10x + 12 21. sandbox is twice as long as it is wide. Its area is 72 in 2. What is the perimeter of the sandbox? a. 6 in b. 8 in c. 24 in d. 36 in 22. If the area of a square is 100x 2, then the length of each side is. a. 10x 2 b. 10x c. 100x d. 2x 23. Find the rea of the circle. (Formula = r 2 ) 6 cm a. 6 cm 2 b. 12 cm 2 c. 24 cm 2 d. 36 cm 2 24. If the area of a circle is 36 cm 2, then the radius is. a. 6 cm b. 36 cm c. 18 cm d. 1296 cm 2. If the radius of a circle is doubled, what happens to the area of the circle? a. it doubles b. it quadruples 2 cm 4 cm c. it triples d. its stays the same 26. What is the circumference of the circle? (Formula = d or = 2 r ) a. cm b. 10 cm cm c. 2 cm d. 1 cm

27. If the radius of a circle is doubled, what happens to the circumference of the circle? a. it doubles b. it quadruples 2 cm 4 cm c. it triples d. its stays the same 28. If the area of a circle is 49 in 2, then the circumference of the circle is. a. 7 b. 14 c. 49 d. 29. What is the area of the shaded region? a. 120 b. 120-9 3 8 ft c. 120-3 d. 120-6 1 ft 30. What is the area of the shaded region? in a. b. 2 c. 100-2 d. 100-10 31. Kristen s backyard is shown below. What is the area of her backyard? 27 feet a. 76 ft 2 b. 300 ft 2 12 ft 14 feet c. 600 ft 2 d. 276 ft 2 23 feet 1 h ( b1 b 2 ) 2 32. trapezoid has one base of 1 cm, height of 10 cm and area of 160 cm 2. What is the length of the second base? a. 10 b. 8 c. 21 d. 17 33. How many cubic inches are in one cubic foot? a. 12 in 3 b. 144 in 3 c. 1728 in 3 d. 20,736 in 3

34. How many cubic feet are in a cubic yard? a. 9 ft 3 b. 3 ft 3 c. 27 ft 3 d. 81 ft 3 3. arly wants to build a garden. She has determined she needs 2 yd 3 of top soil. Each bag of topsoil contains ½ ft 3. How many bags does she need to buy? a. 6 b. 12 c. 4 d. 108 36. What is the volume of the rectangular prism? (Formula: V = lwh) 7 ft ft a. 24 ft 3 b. 144 ft 3 c. 420 ft 3 d. 89 ft 3 12 ft 37. refrigerator has a volume of 240 ft 3. If the width is 6 feet and the length is feet, then what is the height? a. 8 ft b. 4 ft c. 22 ft d. 10 ft 38. Find the volume of a cylinder given a radius of 4 in and a height of in. (Formula: V = r 2 h) a. 20 in 3 b. 100 in 3 c. 80 in 3 d. 9 in 3 39. The volume of a cylindrical can is 4 cm 3 and it has a radius of 3 cm. How tall is the can? a. 1 cm b. 9 cm c. cm d. 8 cm 40. Find the surface area of the rectangular prism. (Formula: S 2lw 2lh 2hw ) a. 420 ft 2 b. 38 ft 2 ft c. 24 ft 2 d. 89 ft 2 12 ft 7 ft 41. Find the length of each side of a cube whose surface area of 96 cm 2. a. 3. cm b. 4 cm c. 16 cm d. 32 cm 42. Find the value of x. a. -8 b. 16 (3x + 9) (2x + 1) c. 34 d. 170

43. Find the value of x. a. 7 b. -4 (7x + ) (x + 1) c. 12 d. 14 44. Find the value of x given is an angle bisector. (x 18) a. 4 b. 8 c. 32 d. 16 (3x + 14) 4. Find the value of x given m 78. a. 1 b. 3 (4x + 1) c. 1 3 d. 2 (x + 2) 46. Two angles are supplementary. One angle is five times the measure of the other angle. What are the angle measures? a. 20 and 160 b. 30 and 10 c. 10 and 0 d. 20 and 70 47. Two angles are complementary. One angle is four times the measure of the other angle. What are the angle measures? a. 18 and 72 b. 36 and 4 c. 36 and 14 d. 20 and 80 48. Find the value of x. (2x-2) a. 7 b. 29 c. 30 d. 62. (x+)

49. Find the value of x. 0 a. 112 b. 133 x 3 c. 68 d. 6 62 80 0. Find the value of x. (6x-20) a. 8. b. 62 c. 23 d. 118 31 1. Find the measure of the vertex angle. a. 40 b. 80 40 c. 100 d. 180 2. lassify the triangle by its angles. 40 120 20 a. Obtuse b. cute c. Right d. Equiangular 3. lassify the triangle by its sides. 3 a. Scalene b. Isosceles c. Equilateral d. Normal 4 4. t a pet store there are 20 cats and 27 dogs. Which ratio represents the number of cats to all pets at the pet store? a. 20 27 b. 20 47 c. 27 20 d. 7 20. Find the value of x in the given proportion. 2 7 x 4 3 a. 17 b. 14 c. 10 d. 4

6. The Lions won 2 out of the last games. If this pattern continues, how many games will they win if they play 20 games? a. 10 b. 8 c. 13 d. 6 7. lawn fertilizer must be applied at a rate of 3 gallons for every 10 square feet. How many gallons are needed to fertilize 20 square feet? a. 2 b. 83 c. 7 d. 10 8. If two polygons are similar, then their corresponding angles are a. congruent b. linear pairs c. complementary d. supplementary 9. If two polygons are similar, then their corresponding sides are a. similar b. congruent c. parallel d. proportional Use the diagram at the right for 60 and 61 60. What is the m given ~ EF? a. 3 b. 70 c. 8 d. 7 61. Find the value of x given ~ EF. 4 12 70 E x + 8 3 F a. 1 b. 13 c. 12 d. 7 62. man feet tall casts a 8 foot shadow. t the same time the shadow of a tree is 24 ft. How tall is the tree? ft a. 3 ft b. 1 ft c. 38 ft d. 8 ft 24 ft 8 ft

63. Which is a correct proportion for the similar figures below? a. E F b. EF E E F c. E EF d. E EF 64. What is the scale factor of figure I to figure II? Figure I Figure II a. 2 3 b. 3 4 1 20 9 12 c. 3 d. 3 22 6. y what percent was figure I reduced to figure II? 13.2 Figure I Figure II a. 12% b. 40% 10 4 c. 0% d. 60% 20 66. y what percent was figure I enlarged to figure II? 8 Figure II a. 7% b. 2% Figure I 20 c. 300% d. 20% 8 32 67. What is the value of x? 6 1 Giv en F a. 20 b. 17 c. 3 d. 40 8 x E 68. What is the value of x? 2 Given F 8 3 a. 12 b. 20 c. 9 d. 24 x E

69. ladder is leaning against the side of a building. The ladder is 6 ft away from the building and touches the building at a point 8 feet from the base. How long is the ladder? a. 10 feet b. 14 feet 8 ft c. 2 feet d. 100 feet 6 ft 70. The longest side of a triangular sail measures 13 ft and the base of the sale is ft. What is the height of the sail? a. 19 ft b. 18 ft 13 c. 12 ft d. 144 ft 71. Mike left his house and went 3 miles east then turned and went 4 miles south. How far is he from home? 72. What is the value of x? a. 7 miles b. 8 miles c. miles d. 12 miles x 2 4 a. b. 10 c. 2 d. 100 73. The diagonal of a square is 11 2. What is the length of each side of the square? a. 11 b. 44 c. 22 d. 88 74. The diagonal of a square is 7 2. What is its perimeter? a. 7 b. 28 c. 49 d. 14 7. Use shown below. Which statement describes the relationship between the length of and? 30 a. is 2 times as long as b. is 3 times as long as c. is 2 times as long as d. is 3 times as long as

76. What is the length of the diagonal of the television? a. 12 b. 24 c. 48 d. 8 77. What is the length of the hypotenuse of the given right triangle? a. b. 10 30 c. 10 3 d. 1 3 78. What is the value of the cos? 13 a. 12 b. 12 13 12 c. 13 12 d. 12 79. What is the value of the sin? a. 3 4 b. 3 4 c. 4 3 d. 4 3 80. Line m is parallel to line n. Which answer makes an accurate statement about the angle relationships illustrated? 3 1 4 2 m a. 1 2 b. 1 8 7 8 6 n c. 7 4 d. 4 6 81. Line a is parallel to line b in the diagram below. Which of the following is the value of x? (6x + 12) a a. -3 b. 2. (2x) b c. 21 d. 2

82. Line a is parallel to line b in the diagram below. Which of the following is the value of x? a b (3x 0) (2x ) a. 2 b. 4 c. 7 d. 80 83. Which pair of lines is parallel? d e a b a. d and e b. a and b c. b and c d. a and c c 84. polygon with 7 sides is called a. a. nonagon b. heptagon c. decagon d. hexagon 8. Which figure is a polygon a. I only I. II. III. b. II only c. III only d. I and III 86. Which polygon is concave? a. b. c. d. 87. The sum of the measures of the interior angles of a convex quadrilateral is. a. 270 b. 180 c. 40 d. 360 88. What is the value of x? 60 10 a. 20 b. 60 c. 40 d. 300 90 3x

89. What is the value of x? 11 120 104 a. 22. b. 96 c. 24 d. 40 10 4x 90. What is sum of the exterior angles of a regular polygon? a. 180 b. 360 c. 90 d. 60 91. What is the measure of each exterior angle of a regular hexagon? a. 30 b. 4 c. 60 d. 90 92. Find the value of x given a square inside a square x a. 4 b. 90 c. 60 d. 180 93. Opposite angles of a parallelogram must be a. complementary b. supplementary c. congruent d. and 94. JKLM is a parallelogram. What is the m K? J 60 K a. 60 b. 120 c. 90 d. 180 M 9. What is the m P L Q given parallelogram PQRS? Q (4x + 19) a. 7 b. 66 (7x - 2) c. 14 d. 47 S R

96. If a quadrilateral has four equal sides, then it is a. a. rectangle b. square c. rhombus d. and 97. If a quadrilateral has four equal sides and four right angles, then it is a. a. rectangle b. square c. rhombus d. and 98. The diagonals of a rectangle are a. congruent b. perpendicular c. bisect each other d. and 99. The diagonals in a rhombus are. a. perpendicular and bisect each other b. congruent and bisect each other c. parallel, congruent, and bisect each other d. congruent and don t bisect each other 100. Given the rectangle WXYZ, if WT = 2a + 1 and TX = 9, then what is the value of a? W X a. 9 b. 4 T c. 8. d. 18 Z Y 101. Given the rectangle WXYZ, if m ZYT = 30, then what is the m XYT? W X a. 30 b. 90 T c. 60 d. 180 Z 102. Given the rectangle WXYZ, if m TYX = 0, then what is the m YTX? Y W X a. 0 b. 100 T c. 40 d. 80 Z Y

103. The diagonals in a square are. a. perpendicular, congruent, and bisect each other b. not congruent and bisect each other c. parallel, congruent, and bisect each other d. congruent and don t bisect each other 104. Given square QURS, what is the measure of S Q EQU? a. 4 b. 90 E c. 180 d. 60 R U 10. segment whose endpoints are on a circle is a. a. tangent b. chord c. radius d. secant 106. line which intersects a circle at exactly one point is called a. a. chord b. secant c. tangent d. point of tangency 107. In the circle below, E is a. a. tangent b. secant E c. chord d. diameter F 108. In the circle below, HG is a. G E a. tangent b. secant H F c. chord d. diameter 109. How many degrees are in a circle? a. 90 b. 180 c. 270 d. 360

110. How many degrees are in a semicircle? 111. Which angle is a central angle? a. 90 b. 180 c. 270 d. 360 a. E b. E c. EF d. F F 112. What is the m P? and E are diameters 60 30 P a. 30 b. 60 c. 90 d. 120 113. round pizza is cut into 8 equally sized pieces. What is the measure of the central angle of each piece? a. 8 b. 22. c. 4 d. 90 114. round pie is cut into 12 equally sized pieces. What is the measure of the central angle of each piece? a. 12 b. 1 c. 30 d. 90 11. Which angle is an inscribed angle? E O a. PQN b. MPN P Q N c. OQN d. PQO M

116. What is the m? 76 a. 38 b. 76 c. 12 d. 180 117. What is the m? a. 22 b. 110 110 c. d. 70 118. is a diameter of the given circle. What is the value of x? a. 36 b. 72 x x (3x) c. 4 d. 60 119. Express 32,000,000 in scientific notation. a. 3.2 x 10 8 b. 32 x 10 6 c. 3.2x 10-8 d. 32. x 10 7 120. Express 0.0000462 in scientific notation a. 4.62 x 10 8 b. 4.62 x 10 c. 4.62 x 10 - d. 462 x 10-8 121. Express.3 x 10 3 in standard form. a. 3,000 b.,300 c. 0.0003 d. 0.003

122. Express 2.4 x 10-4 in standard form. a. 24,00 b. 2,40,000 b. 0.000024 d. 0.00024 123. How many meters are in two kilometers? a. 20 b. 200 c. 2,000 d. 20,000 124. How many centimeters are in meters? a. b. 0 c. 00 d.,000 12. How many millimeters are in 3. meters? a. 3 b. 30 c. 3,00 d. 3,000

Geometry & Measurements Key 1. 2. 3. 4.. 6. 7. 8. 9. 10. 11. 12. 13. 14. 1. 16. 17. 18. 19. 20. 21. 22. 23. 24. 2. 26. 27. 28. 29. 30. 31. 32. 33. 34. 3. 36. 37. 38. 39. 40. 41. 42. 43. 44. 4. 46. 47. 48. 49. 0. 1. 2. 3. 4.. 6. 7. 8. 9. 60. 61. 62. 63. 64. 6. 66. 67. 68. 69. 70. 71. 72. 73. 74. 7. 76. 77. 78. 79. 80. 81. 82. 83. 84. 8. 86. 87. 88. 89. 90. 91. 92. 93. 94. 9. 96. 97. 98. 99. 100. 101. 102. 103. 104. 10. 106. 107. 108. 109. 110. 111. 112. 113. 114. 11. 116. 117. 118. 119. 120. 121. 122. 123. 124. 12.

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