Geometry Practice Questions
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1 Geometr Practice Questions 40 Geometr. What is the surface area, in square centimeters, of a cube with each edge length of 5 cm? A. 5 B. 5 C What is the surface area, in square centimeters, of a clinder with a height of 0 cm and a radius of 6 cm? A. 6π B. 60π C. 9π 56π. What is the surface area, in square centimeters, of a clinder that measures 8 cm tall with a diameter of 6 cm on its base? A. 48π B. 57π C. 66π π 4. A pramid has a square base. If each edge of the pramid is 4, what is the total surface area of the entire pramid? A. 8 B C Question 5 refers to the following figure. 6π 5. A to factor paints all of its rubber balls with coats of late for durabilit. How man square centimeters of late are needed to cover a rubber ball with a circumference of 6π cm? A. 64π B. 8π C. 56π 5π 6. The floor of a walk-in closet measures 7 feet b 4 feet. If the ceiling height is 8 feet, what is the volume in cubic feet of the closet? A. 8 B. 56 C. 4 Question 7 refers to the following figure. 7. An ice cream cone has a spherical scoop of ice cream placed inside. Eactl one-half of the ice cream is visible above the rim of the cone. What is the surface area of the entire ice cream treat, in units squared? A. 4π B. 0π C. 48π 60π 8. The radius of Sphere A is, and the radius of Sphere B is. What is the ratio of the volume of Sphere A to that of Sphere B? (Hint: Use the formula for the volume of a sphere on page 98.) A. : B. 4: C. 8: 8: 9. A parallelogram has a base of 6 centimeters and a height of 0 centimeters. This parallelogram has the same area as a triangle with a height of 5 centimeters. What is the measure, in centimeters, of the base of the triangle? 0 Write our answer in the bo. 0_GED-Math_b.indd 40 9/08/6 :5 PM
2 Question 0 refers to the following figure. 8 in. 0. Three identical rectangular boes are stacked one on top of another. The total height of all three boes is the same as the width of one bo. The length of the boes is 8 in., and the width is half the length. What is the combined volume, in cubic inches, of all three boes? A.,458 B.,800 C.,4,6. Using a compass, Ma hikes 00 ards due north of his campsite. From that point, he hikes 400 ards due east. If he were to hike directl to his campsite from this point, how man ards would he have to hike? A. 400 B. 500 C The rectangular base of a container is 9 inches long and 7 inches wide. B how man cubic inches will the volume of the container increase if ou increase the length of the base b inches? A. 84 B. 6 in. C In a right triangle, the hpotenuse measures 5 inches. If one leg of the triangle measures 6 inches, which of the following equations could be used to find the length of the other leg () in inches? A. = 5 6 B. = 5 6 C. = = The length of a rectangle is three times its width. If the perimeter of the rectangle is 96 inches, what is its length in inches? A. B. 4 C Question 5 refers to the following figure. 7 cm 6π cm 5. Sarah is making part hats for a birthda part. Each hat is in the shape of a cone and will have a circumference of 6π cm and a slant height of 7 cm. She will be making 0 hats. What is the total surface area, in square centimeters, of all 0 hats combined? A. π B. 56π C. π,0π 9 in. 7 in. Mathematical Reasoning 4 0_GED-Math_b.indd 4 9/08/6 :5 PM
3 Question 6 refers to the following figure. Question 9 refers to the following figures. in in. 6 in. 6. Use our calculator to make the following calculation. In the figure above, a square contains a circle such that each of the sides of the square is touching a point on the circle. What is the area, in square inches, of the shaded portion? A..4 B..57 C in. in. in. in. in. Questions 7 and 8 refer to the following. A classroom is 40 feet long and 5 feet wide. The ceiling height is feet. The school district plans to repaint the room and put in air-conditioning. The ceiling tile will not be painted. 7. What is the approimate total square footage of the four walls of the room? Ignore space taken up b windows and doors. A.,00 B.,560 C.,90 4, To choose an air-conditioning sstem, the school district must know the volume of the room. What is the volume in cubic feet? A.,000 B.,0 C.,000 5,65 9. Laura is painting model pramids for an art project. She needs one tube of paint for ever 0 square inches of surface area. If Laura paints each pramid and its base, approimatel how man tubes of paint should she bu? A. 4 B. 6 C Answers and eplanations begin on page Geometr 0_GED-Math_b.indd 4 9/08/6 :5 PM
4 Equations, Inequalities, and Functions Practice Questions Directions: You MAY use our calculator.. What is the equation of a line with a slope of 4 that passes through the point (, )? A. = 4 + B. = C. = 4 + = The ordered pair (, ) is a solution to which of the following equations? A. 4 = 7 B. 4+ = 7 C. 4 = = 7 Questions 6 and 7 refer to the following graph. C B. What is the slope of a line that passes through the points (, 4) and (4, 6)? A. B. C What is the -intercept of the line with a slope of that passes through the point (, )? A. B. C The graphs of the equations = + and = are drawn on a coordinate grid. In the coordinate plane below, darken the circle corresponding to the point at which the two lines intersect. D 6. If the graph of the equation = 5 were drawn on the grid, which of the points would be on the line? A. A B. B C. C D A If a line were drawn through points B and C, what would be the slope of the line? A. B. C. 0. The graph of which equation will pass through points (0, ) and (5, 7)? A. = B. = C. = + 7 = + 84 Equations, Inequalities, and Functions 0_GED-Math_b.indd 84 9/08/6 :5 PM
5 . Which of the following graphs represents the solution set of the inequalit ( 6) > 8? A. () B. C. (4) Questions and refer to the following graph. L M. Which of the following ordered pairs shows the location of point L? A. ( 5, ) B. ( 5,) C. (,5) (, 5) 6. A line goes through the points (0, ) and (, ). What is the equation of the line? A. = + B. = + C. = + = +. Point B is located halfwa between (,5) and (, ). Name the location of point B. In the coordinate plane below, darken the circle corresponding to the location of point B What is the slope of the line that passes through points L and M? A. B. C. Mathematical Reasoning 85 0_GED-Math_b.indd 85 9/08/6 :5 PM
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