A square and a regular pentagon (a 5-sided polygon with congruent sides and interior angles) have the same perimeter. One side of the pentagon measures 20 inches. How many inches long is one side of the square?
(A)4
(B) 16
(C) 25
(D) 36
(E) 100
What is the value of the expression (y - x)3 when x = 5 and y = 1?
(A)-64 (B) -4 (C) 4 (D) 16 (E) 64
Correct Answer: A
As shown in the (x,y,z) coordinate space below, the cube with vertices L through S has edges that are 2 coordinate units long. The coordinates of Q are (0,0,0), and S is on the positive x-axis. What are the coordinates of O?
(F) (2,0,2) (G) (2,2,2) (H) (J) (K)
Correct Answer: H
Eldridge opened a savings account with an initial balance of $1,000. After that, every month for 8 months, she made one deposit to the account, always for the same amount. During that time, she made just one withdrawal.
Which of the following graphs accurately describes these transactions over an 8-month period?
(F) (G) (H) (J) (K)
Correct Answer: J
More ACT Math Exam Questions
- 1
In the following figure, if the dimensions of the trapezoid are as shown and the area of the trapezoid is 144, what is the value of x?
- 2Andrea wants to fill in two sections of her backyard with sod that must be purchased in 2-x-2-foot squares. If the two sections measure 30 x 40 feet and 60 x 80 feet, how many squares of sod does she need to buy?
- 3In the standard (x, y) coordinate plane, a line passes through the points (1, -2) and (5, 10). At which of the following points does the line cross the y-axis?
- 4
During their daily training race, Carl has to stop to tie his shoes. Melissa, whose shoes are velcro, continues to run and gets 20 feet ahead of Carl. Melissa is running at a constant rate of 8 feet per second, and Carl starts running at a constant rate of 9.2 feet per second to catch up to Melissa. Which of the following equations, when solved for s, gives the number of seconds Carl will take to catch up to Melissa?
- 5
Given parallelogram ABCD below and parallelogram EFGH (not shown) are similar, which of the following statements must be true about the two shapes?