In the following figure, O is the center of the circle, is tangent to the circle at D,and is tangent to the circle at E.Which of the following must be true?

(F)

(G) is isosceles

(H)

(J)

(K) is a square

Amber decides to graph her office and the nearest coffee shop in the standard (x,y) plane. If her office is at point (-1,-5) and the coffee shop is at point (3,3), what are the coordinates of the point exactly halfway between those of her office and the shop? (You may assume Amber is able to walk a straight line between them.)

(F) (1,-1) (G) (1, 4) (H) (2,-1) (J) (2, 4) (K) (2, 0)

**Correct Answer: F**

In the following figure, what is the value of *x*in terms of *y*?

(A) 10y(B) 10*y*2(C) (D) (E)

**Correct Answer: C**

Paulette, Quentin, and Rosie each donated money to a charity. Paulette gave as much money as Quentin and Rosie gave together. If Quentin had given three times more than he gave, he would have given $40 more than Paulette. And if Rosie had given $20 less, she would have given half as much as Paulette. How much did Paulette give?

(A) $80(B) $120(C) $160(D) $200(E) $240

**Correct Answer: D**

### More ACT Math Exam Questions

- 1If x = 3, then x
^{2}+ 2x - 12 = ? - 2Given that E = ABCD, which of the following is an expression of B in terms of E, A, C, and D?
- 3If 3x + 2y = 5, what is the value of the expression 6x + 4y - 7?
- 4
What is the value of

*a*if log_{4}*a*= 3? - 5
Given parallelogram

*ABCD*below and parallelogram*EFGH*(not shown) are similar, which of the following statements must be true about the two shapes?