In the (x,y) coordinate plane below, points P (6,2) and Q (1,4) are two vertices of ΔPQR. If 
PQR is a right angle, then which of the following could be the coordinates of R?
(A) (4,-3)
(B) (3, 0)
(C) (2, 1)
(D) (2, 4)
(E) (3, 9)
The triangle shown below has a hypotenuse with a length of 13 feet. The measure of 
A is 20° and the measure of B is 70°. Which of the following is closest to the length, in feet, of 
?
(Note: sin 70° ≈ 0.9397
cos 70° ≈ 0.3420
tan 70° ≈ 2.747)
(A) 4.4 (B) 5 (C) 12 (D) 12.2 (E) 35.7
Correct Answer: A
The cross-sectional view of a tent is shown below. If the tent is 6 feet wide at its base, then which of the following expressions could be used to calculate the height of the tent, in feet?
(F) 
(G) 3 tan 40°
(H) 
(J) 6 tan 40°
(K) 3 tan 80°
Correct Answer: H
The volume of a cone is given by the formula V = 
R2h, where R is the radius of the base of the cone and h
is the height of the cone. What is the volume, in cubic centimeters, of
a cone with a height of 8 cm that has a base with a radius of 3 cm?
（A）72π （B） 48π （C） 24π （D） 12π （E） 8π
Correct Answer: C
More ACT Math Exam Questions
- 1A rectangular lot that measures 150 ft by 200 ft is completely fenced. What is the approximate length, in feet, of the fence?
- 2
If f(x) =
and the composite function f(g(x)) = 
, which of the following could be g(x)? - 3Danielle’s phone plan charges her $30 per month for the first 200 minutes and then $0.10 per minute for each subsequent minute. If Danielle paid exactly $100 last month, how many minutes did she use?
- 4
If f(x) = 4x2– 5x– 5 and g(x) = 2x– 4, what is the value of
? - 5A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?