Isosceles triangle T1 has a base of 12 meters and a height of 20 meters. The vertices of a second triangle T2 are the midpoints of the sides of T1. The vertices of a third triangle, T3, are the midpoints of the sides of T2. Assume the process continues indefinitely, with the vertices of Tk+1 being the midpoints of the sides of Tk for every positive integer k. What is the sum of the areas, in square meters, of T1, T2, T3, …?
(F) 30
(G) 40
(H) 120
(J) 144
(K) 160
What is the x–intercept of the line that passes through points (-3,7) and (6,4) in the standard (x,y) coordinate plane?
（A）(18,0)
（B） (0,
)
（C） (0,6)
（D） (0,18)
（E） (,0)
Correct Answer: A
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)
Correct Answer: E
In the figure below, lengths in units and angle measures in degrees are as marked. How many units long is 
?
（A）3
（B） 3
（C） 3
（D） 6
（E） 3
Correct Answer: C
More ACT Math Exam Questions
- 1
In the following triangle, what is the value of sec n?
A.
B.
C.
D.
E.
- 2
The expression x2 + 2x - 15 can be written as the product of 2 binomials with integer coefficients. One of the binomials is (x + 5). Which of the following is the other binomial?
- 3In the standard (x,y) coordinate system, circle O has its center at (4,-3) and a radius of 12 units. Which of the following is an equation of the circle?
- 4For all real numbers x and y such that the product of y and 4 is x, which of the following expressions represents the sum of y and 4 in terms of x?
- 5Danielle’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?