| 1. If one angle of a triangle is three times a second angle and the third angle is 20 degrees more than the second angle, the second angle is (in degrees): | |
| a) | 40 | b) | 34 | c) | 32 | d) | 50 |
| 2. The supplement of an angle that measures 175 degrees is | |
| a) | 5 degrees | b) | 15 degrees | c) | 25 degrees | d) | 85 degrees |
| 3. If the base angles of an isosceles triangle are each 47.5 degrees, what is the measurement of the third angle? | |
| a) | 95 degrees | b) | 105 degrees | c) | 75 degrees | d) | 85 degrees |
| 4. If four triangles are constructed with sides of the length indicated below, the triangle which will not be a right triangle is | |
| a) | 5, 12, 13 | b) | 3, 4, 5 | c) | 8, 15, 17 | d) | 12, 15, 18 |
| 5. A plane took off from central Airport and traveled due north for 30 miles. Then it traveled due east for 40 miles before it landed at Stanton Field. The shortest distance between Central Airport and Stanton Field is | |
| a) | 70 mi. | b) | 50 mi. | c) | 40 mi. | d) | 35 mi. |
| 6. What is the length in yards of the other leg of a right triangle that has a hypotenuse of 26 yards and a leg of 24 yards? | |
| a) | 676 | b) | 100 | c) | 356 | d) | 10 |
| 7. To the nearest foot, the circumference of a circle that has a diameter of 30 feet is | |
| a) | 188 ft. | b) | 144 ft. | c) | 94 ft. | d) | 84 ft. |
| 8. If the total area of a picture measuring 10 inches by 12 inches plus a matting of uniform width surrounding the picture is 224 square inches, the width of the matting is: | |
| a) | 2 inches | b) | 2 4/11 inches | c) | 3 inches | d) | 4 inches |
| 9. Ellen has a 3 inch by 5 inch snapshot. She wants to enlarge the snapshot to make it 15 inches long. How wide will the enlargement be? | |
| a) | 6 in. | b) | 9 in. | c) | 12 in. | d) | 15 in. |
| 10. The volume of a cyclinder is given in the fomula V = Pi x R squared x H, where R is the radius of the cylinder and H is the height. What is the volume in cubic feet of a cylindrical tank with a 20 foot radius and a height of 14 feet? (Use Pi = 22/7) | |
| a) | 1,760 | b) | 8,808 | c) | 17,600 | d) | 16,008 |
| 11. If the radius of a circle is decreased by 5 inches, the resulting decrease in its circumference is | |
| a) | 10pi inches | b) | 5 inches | c) | 12 inches | d) | 16 inches |
| 12. What is a triangle whose sides are 12, 13, and 18? | |
| a) | An obtuse triangle | b) | An acute triangle | c) | A right triangle | d) | An impossibility |
| 13. If angle 1 and angle 2 are complements and angle 2 and angle 4 are complements, what are angle 1 and angle 4? | |
| a) | Supplements | b) | Complements | c) | Equal angles | d) | Adjacent Angles |
| 14. A square is inscribed in a circle with radius 8. What is the area of the square? | |
| a) | 32 | b) | 64 | c) | 2 | d) | 128 |
| 15. How many lines of symmetry does a rhombus have? | |
| a) | none | b) | four | c) | two | d) | one |
| 16. A rectangle with height 24 has area 696. What is the perimeter of the rectangle? | |
| a) | 122 | b) | 120 | c) | 144 | d) | 106 |
| 17. The sum of the interior angles of a certain polygon is the same as the sum of its exterior angles. How many sides does the polygon have? | |
| a) | Four | b) | Six | c) | Eight | d) | ten |
| 18. For which line is slope not defined? | |
| a) | A horizontal line | b) | A line containing (0,0) | c) | A vertical line | d) | A line perpendicular to the y- axis |
| 19. If a box has length 8 cm., width 10 cm., and height 10 cm., what is the total area? | |
| a) | 800 sq. cm. | b) | 360 sq. cm. | c) | 520 sq. cm. | d) | none of the above |
| 20. What is the sum of the interior angles of a pentagon? | |
| a) | 180 degrees | b) | 360 degrees | c) | 540 degrees | d) | 900 degrees |
| 21. What is the total area of a cylinder with radius 10 cm and height 30 cm? | |
| a) | 3000pi sq. cm. | b) | 800pi sq. cm. | c) | 700pi sq. cm | d) | 600pi sq. cm. |
| 22. The legs of a right triangle are 4 and 7. Find the hypotenuse. | |
| a) | Square root of 7 | b) | Square root of 28 | c) | Square root of 33 | d) | Square root of 65 |
| 23. What is the distance between points (-2,0) and (2,5)? | |
| a) | Square root of 5 | b) | Square root of 3 | c) | Square root of 29 | d) | Square root of 41 |
| 24. In triangle MNO <M=65 degrees and <N=50 degrees. What is the measurement of <O? | |
| a) | 65 degrees | b) | 180 degrees | c) | 50 degrees | d) | 25 degrees |
| 25. If two angles of a triangles are acute angles, the third angle | |
| a) | is less than the sum of two given angles | b) | is an acute angle | c) | is the largest angle of the triangle | d) | may be an obtuse angle |