The area of the square in the figure below is 324 square centimeters, and the two small isosceles right triangles are congruent. What is the combined area, in square centimeters, of the 2 small triangles?

(F) 108

(G) 162

(H) 216

(J) 324

(K) 648

The length of arc XY of a circle is equal to of the circumference of the circle. The length of the arc is 7π inches. What is the radius, in inches, of the circle?

（A）42 （B） 21 （C） 14 （D） 7 （E） 3

**Correct Answer: B**

The figure below shows a ramp for skateboarders. The base of the ramp is 25 feet long, and it rises at a 10° angle.

Given the trigonometric calculations in the table below, how high off the ground will a skateboarder be at the top of the ramp, rounded to the nearest 0.1 foot?

(F) 2.3 (G) 2.5 (H) 4.3 (J) 4.4 (K) 24.6

**Correct Answer: J**

If y = 0.25(100 - y), then what is the value of y?

(F) 200 (G) 75 (H) 25 (J) 20 (K) 18

**Correct Answer: J**

### More ACT Math Exam Questions

- 1In the standard (x,y) coordinate plane, point B with coordinates of (5,6) is the midpoint of line and point A has coordinates at (9,4). What are the coordinates of C?
- 2
If and bc= 7, which of the following statements must be true?

- 3One square inch on the average pizza contains 50 calories. Alex bakes a 12″ diameter pizza and cuts it into 8 equal slices. If his dad eats 3 slices and Alex only eats 2, approximately how many more calories did Alex's dad eat than he did?
- 4The formula for the volume V of a sphere with a radius of r is V = 3/4 π r3. If a spherical ball has a radius of 3 (1/4) inch, what is its volume to the nearest cubic inch?
- 5
Which of the following correctly factors the expression 25

*x*^{4}- 16*y*^{8}?