A wire with length of 52 cm is cut into two unequal lengths. Each par is bent to form a square. If the sum of the area of the two squares is 97 sq. cm., what is the area of the smaller square?
| A. 16 | C. 64 |
| B. 81 | D. 49 |
December 2017
A circle is described by the equation x2 + y2 - 16x = 0. What is the length of the chord that is 4 units from the center of the circle?
| A. 12.563 units | C. 8.523 units |
| B. 13.856 units | D. 9.632 units |
A vending machine dispenses gumballs in a regular repeating cycle of ten different colors. If a quarter buys 3 gumballs, what is the minimum amount of money that must be spent before three gumballs of the same color are dispense?
| A. \$2.25 | C. \$2.0 |
| B. \$1.75 | D. \$1.0 |
An automobile tire is 30 inches in diameter. How fast in rpm does the wheel turn on the axle when the automobile maintains a speed of 50 mph?
| A. 504 | C. 551 |
| B. 560 | D. 450 |
Two forces of 20 units and 30 units act at right angles. What is the magnitude of the resultant force?
| A. 44 | C. 24 |
| B. 42 | D. 36 |
Given a right triangle where the hypotenuse is r, the acute angle θ, the opposite vertical side y and adjacent side x. Which of the following relations does not apply?
| A. $1 + \tan^2 \theta = \sec^2 \theta$ | C. $x^2 + y^2 = r^2$ |
| B. $\cos 2\theta = 1 + 2\sin^2 \theta$ | D. $\sin 2\theta = 2 (\sin \theta) (\cos \theta)$ |
If the interest rate on an account is 8.5% compounded yearly, approximately how many years will it take to triple the amount?
| A. 13.4 yrs | C. 12.5 yrs |
| B. 14.4 yrs | D. 15 yrs |
Solve for x: x - 1/x = 0.
| A. 1, -1 | C. -1 |
| B. 1, 1/2 | D. -1/2, -1 |
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Find the slope of the line passing through the points (2, 6) and (2, -4).
| A. -2 | C. 0 |
| B. ∞ | D. 7 |
The total number of diagonals of an N-gon is 77, then what is N?
| A. 14 | C. 8 |
| B. 11 | D. 5 |