Practice Quiz Polygons Area Perimeter Volume 1. Two angles of a hexagon measure 140 each. The other four angles are equal in measure. What is the measure of each of the other four equal angles, in degrees? A. 100 B. 110 C. 115 D. 145 E. 210 2. In the trapezoid ABCD, AB = CD. What is the value of x? A. 105 B. 125 C. 150 D. 165 E. 175. In quadrilateral DEFG, DG is parallel to EF. What is the measure of F? A. 65 B. 75 C. 85 D. 5 E. 105 4. In the figure, what is the value of x? A. 7 B. 1 C. 5 D. 7 E. 10
5. In the figure, what is the length of AB? A. 5 B. 8 C. 10 D. 12 E. 14 6. Find the value of each interior angle for a regular polygon with 20 sides. A. 120 B. 140 C. 144 D. 150 E. 162 7. A regular octagon is shown. What is the measure, in degrees, of X? A. 120 B. 15 C. 150 D. 720 E. 1,080 8. In the figure, AF GD. What is the value of x? A. 25 B. 5 C. 45 D. 55 E. 115
. In the figure, VW = WX = VX = XY = YZ = XZ. If VZ = 12, what is the perimeter of the triangle VWX? A. 8 B. 12 C. 16 D. 18 E. 20 10. The perimeter of an isosceles triangle is 20 inches, its base measures 8 inches. Find the length of each of its equal side in inches. A. 6 B. C. 8 D. 7 E. 11. If each of the equal sides of an isosceles triangle is 10, and the base is 16, what is the area of the triangle? A. 6 B. 48 C. 80 D. 6 E. 160 12. In the figure, E is the midpoint of side CB of rectangle ABCD, and x = 45. If AB is centimeters, what is the area of rectangle ABCD, in square centimeters? A. 27 B. 18 C. D. 1 4 2 E. 1. If the area of a right triangle is 16, the length of the legs could be A. 8 and 2 B. 12 and 4 C. 10 and 6 D. 20 and 12 E. 2 and 1
14. In the figure, right triangle ABC is contained within right triangle AED. What is the ratio of the area of AED to the area of ABC? A. 4 B. 8 C. 64 D. 16 E. 16 15. The figure above shows a square region divided into four rectangular regions, three of which have areas 5x, 5x, and x 2, respectively. If the area of MNOP is 64, what is the area of square QROS? A. B. 25 C. 0 D. 4 E. 16. In the figure, CDE is an equilateral triangle and ABCE is a square with an area of 1. What is the perimeter of polygon ABCDE? A. 4 B. 5 C. 6 D. 7 E. 8 17. One-third of the area of a square is 12 square inches. What is the perimeter of the square, in inches? A. 16 B. 24 C. 2 D. 6 E. 42 18. All the dimensions of a certain rectangular solid are integers greater than 1. If the volume is 126 cubic inches and the height is 6 inches, what is the perimeter of the base? A. 10 B. 16 C. 20 D. 21 E. 27
1. A rectangular solid has a square base. The volume is 60 cubic inches and the height is 10 inches. What is the perimeter of the base? A. 24 B. 6 C. 40 D. 60 E. 100 Questions 20 and 21 refer to the following information. Cube A has an edge of 2. Each edge of cube A is increased by 50%, creating a second cube B. 20. What is the ratio of the volume of cube A to cube B? A. 2 B. 4 C. 4 D. 8 27 E. 27 8 21. The surface area of cube B is how much greater than the surface area of cube A? A. 18 B. 24 C. 0 D. 54 E. 78 22. How many wooden toy cubes with a -inch edge can fit in a rectangular container with dimensions inches by 21 inches by 15 inches? A. 1 B. 27 C. 5 D. 105 E. 15
2. If you assume that there is no wasted ice, how many smaller rectangular block ice cubes, dimensions 2 4, can be cut from two large blocks of ice? The size of each block of ice is shown below. A. 2 26 B. 20 C. 10 D. 5 E. 4 24. If cube B has an edge three times that of cube A, the volume of cube B is how many times the volume of cube A? A. B. C. 12 D. 27 E. 6 25. The surface areas of the rectangular prism are given. If the lengths of the edges are integers, what is the volume in cubic inches? A. 4 B. 168 C. 188 D. 1,152 E. 1,176
Answer Key 1. B 2. A. D 4. C 5. D 6. E 7. B 8. B. D 10. A 11. B 12. B 1. E 14. D 15. B 16. B 17. B 18. C 1. A 20. D 21. C 22. C 2. B 24. D 25. B