A painter needs to reach the top of a tall sign in the middle of a flat and level field. He uses a ladder of length x to reach a point on the sign 15 feet above the ground. The angle formed where the ladder meets the ground is noted in the figure below as θ. Which of the following relationships must be true?
(A) 
(B) 
(C) 
(D) 
(E) 
At 10:00, Angela starts from her home and runs at a constant pace to Kathleen’s house, which is exactly 2 miles away. Immediately, she and Kathleen turn around and walk back to Angela’s house exactly 4 miles an hour slower than Angela ran. When they arrive at Angela’s house, the time is 10:45. At what speed did Angela run?
(F) 6 miles per hour(G) 6.5 miles per hour(H) 7 miles per hour(J) 7.5 miles per hour(K) 8 miles per hour
Correct Answer: K
If the height of an equilateral triangle is 9, what is its area?
(F) 27(G) 54(H) 81(J) 
(K) 
Correct Answer: J
In the following figure, the circle centered at nhas a radius of 4. What is the area of the shaded region?
(A) 3π(B) 6π(C) 9π(D) 12π(E) 16π
Correct Answer: D
More ACT Math Exam Questions
- 1Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column—only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink.
How many different daily lunch specials are possible? - 2
The function g(x) = x4- 2x3- 6x2– x + 5 and line h are shown in the standard (x,y) coordinate plane below. Which of the following is an equation of line h, which passes through (-1,3) and (2,-21)?
- 3
When asked the price, in dollars, of his fancy calculator, Albert responded, "If you take the square root of the price, then add
the price, the result is 66." What is the price, in dollars, of Albert's calculator? - 4What value must be added to 9x2 - 30x in order to complete the square (that is, make it a perfect square trinomial)?
- 5At the end of each month, a credit card company uses the formula D = B (1 + r) + 10m2 to calculate debt owed, where D is the cardholder's total debt; B is the amount charged to the card; r is the rate of interest; and m is the number of payments the cardholder has previously missed. If Daniel has charged $2,155 to his credit card with a 13% interest rate and has missed 2 payments, which value is closest to Daniel's total credit card debt?