The points P, Q, R, and S lie in that order on a straight line. The midpoint of 
is R and the midpoint of 
is Q. The length of 
is x feet and the length of 
is 4x - 16 feet. What is the length, in feet, of ?
(A) 32
(B) 20
(C) 16
(D) 8
(E) 4
What ACT score is needed for Yale?
To be accepted into Yale, you will need a composite score of 33. Applicants who successfully become accepted into Yale have ACT scores ranging in the top 3 percent.
In the figure below, ray 
was constructed starting from rays 
and 
. By using a compass D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:
(A)are equal. (B)are NOT equal. (C)sum to 30°. (D)sum to 45°. (E)sum to 60°.
Correct Answer: C
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
Correct Answer: K
More ACT Math Exam Questions
- 1Jane wants to bring her bowling average up to an 85 with her performance on her next game. So far she has bowled 5 out of 7 equally weighted games, and she has an average score of 83. What must her score on her next game be in order to reach her goal?
- 2In the figure below, where
ABC ~ XYZ, lengths are given in inches and the perimeter of ABC is 576 inches. What is the length, in inches, of 
?
(Note: The symbol ~ means "is similar to.")
- 3
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?
- 4
What is the value of ain terms bif
? - 5
A right triangle, shown below, has a longer leg measuring 16
centimeters. How long is the hypotenuse of the triangle, in centimeters?