In the following figure, the two triangles are similar. The lengths of their sides are shown. What is the value of yin terms of x?
(F) x+ 1
(G) x+ 2
(H) x+ 3
(J) x+ 4
(K) x+ 5
If a number sequence begins 1, 3, 4, 6, 7, 9, 10, 12 . . ., which of the following numbers does NOT appear in the sequence?
(F) 34(G) 43(H) 57(J) 65(K) 72
Correct Answer: J
In the following triangle, what is the value of sec n?
A. 
B. 
C. 
D. 
E. 
(A) (B) (C) (D) (E)
Correct Answer: C
The point (24,3) on a standard (x,y) coordinate plane is halfway between points (z,2z + 1) and (15z,z - 4). What is the value of z?
(F) 1 (G) 1.5 (H) 3 (J) 7 (K) 24
Correct Answer: H
More ACT Math Exam Questions
- 1
For all integer values of a and b such that a > 0 and b<0, which of the following must also be an integer?
- 2
The formula for the volume of a sphere is
, and the formula for the surface area of a sphere is 
. If a sphere has a surface area of 36π, what is its volume? - 3If 3x + 2y = 5, what is the value of the expression 6x + 4y - 7?
- 4
The minutes and seconds on a 60-minute digital timer are represented by 3 or 4 digits. What is the largest product that can be obtained by multiplying the digits in one of these representations?
(Note: When the timer displays 16:15, the product of the digits is (1)(6)(1)(5) = 30.)
- 5To make space for new merchandise, a clothing store offered a 15% discount on all current stock.What is the sale price of a jacket that regularly sells for $42?