A circle has a radius that is the same length as the sides of a square. If the square has a perimeter of 64 square inches, what is the area, in square inches, of the circle?
(A) 16
(B) 16π
(C) 32π
(D) 64π
(E) 256π
Mr. Dietz is a teacher whose salary is $22,570 for this school year, which has 185 days. In Mr. Dietz's school district, substitute teachers are paid $80 per day. If Mr. Dietz's takes a day off without pay and a substitute teacher is paid to teach Mr. Dietz's classes, how much less does the school district pay in salary by paying a substitute teacher instead of paying Mr. Dietz's for that day?
(F) $ 42
(G) $ 80
(H) $ 97
(J) $105
(K) $122
Correct Answer: F
What is the area, in square meters, of the figure below?
(F) 336(G) 330(H) 225(J) 82(K) 56
Correct Answer: H
For each positive integer k, let ko be the sum of all positive odd integers less than k. For example, 6o = 5 + 3 + 1 = 9 and 7o = 5 + 3 + 1 = 9. What is the value of 17o × 4o?
(A) 16 (B) 144 (C) 256 (D) 324 (E) 816
Correct Answer: C
More ACT Math Exam Questions
- 1
The point (24,3) on a standard (x,y) coordinate plane is halfway between points (z,2z + 1) and (15z,z - 4). What is the value of z?
- 2
The formula for the volume of a sphere is
, and the formula for the surface area of a sphere is 
. If a sphere has a surface area of 36π, what is its volume? - 3In isosceles triangle
ACE, shown below, B and D are the midpoints of congruent sides 
and 
respectively. 
ABE measures 95°, and DAE measures 35°. What is the measure of DEB?
- 4In the figure below, line m is parallel to line n. One angle formed with transversal line T measures 60°, as shown. What is the degree measure of
a?
- 5At 3 p.m., the afternoon sun shines over a building and its rays hit
the ground at a 34° angle. The building is 100 meters tall and is
perpendicular to the ground. How long, to the nearest meter, is the
building's shadow that is cast by the sun?
(Note: sin 34° ≈ 0.56, cos 34° ≈ 0.83, tan 34° ≈ 0.67)
