## Two whole numbers have a greatest common factor of 8 and a least common multiple of 48. Which of the following pairs of whole numbers will satisfy the given conditions?

(A)4 and 9

(B) 5 and 10

(C) 10 and 16

(D) 14 and 20

(E) 16 and 24

*RST* is a right triangle with side lengths of *r*, *s*, and *t*, as shown below. What is the value of cos^{2} *S* + cos^{2} *R*?

(F) 1 (G) (H) (J) (K)

**Correct Answer: F**

A rectangular piece of cloth has a length of 6 feet and a width of
1.5 feet. Brad estimates that the area is 12 square feet. His estimate
is approximately what percent *greater* than the actual area?

(F) 75% (G) 66% (H) 33% (J) 25% (K) 17%

**Correct Answer: H**

If |6-2x| > 9, which of the following is a possible value of x?

（A）-2 （B） -1 （C） 0 （D） 4 （E） 7

**Correct Answer: A**

### More ACT Math Exam Questions

- 1Δ ABC is similar to Δ XYZ. AB is 5 inches long, BC is 8 inches long, and AC is 3 inches long. If the longest side of Δ XYZ is 20 inches long, what is the perimeter, in inches, of Δ XYZ ?
- 2
Consider the exponential equation

*y*= , where*K*and*p*are positive real constants and*x*is a positive real number. The value of*y*decreases as the value of*x*increases if and only if which of the following statements about*p*is true? - 3In an isosceles right triangle, the hypotenuse is 12. What is the length of one (1) of the sides?
- 4
In the following figure, the large quadrilateral is a square. What is the area of the shaded region in terms of x and y?

- 5
In the standard (x,y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?