A sphere is inscribed in a cube with a diagonal of 3
ft. In feet, what is the diameter of the sphere?
(F) 3
(G) 2
(H) 2
(J) 3
(K) 3
If function f is defined by f(x) = -2x3, then what is the value of f(f(1))?
（A）-16 （B） -8 （C） 4 （D） 8 （E） 16
Correct Answer: E
Consider all positive integer values a and b such that the product ab = 8. For how many values does there exist a positive integer c that satisfies both 2a = c and cb = 256?
(A) Infinitely many (B) 6 (C) 4 (D) 2 (E) 0
Correct Answer: C
For which of the following values of a will there be exactly one real solution to the equation 2x2 - ax + 8 = 0?
（A）2 
（B） 4
（C） 4
（D） 6
（E） 8
Correct Answer: E
More ACT Math Exam Questions
- 1How to select the ACT Test Centre 2020
- 2
Point C (1,2) and point D (7,-10) lie in the standard coordinate plane. What are the coordinates of the midpoint of
? - 3
The kinetic energy, KE, of an object travelling at v velocity can be modeled by the equation KE =
mv2, where m
is the mass of the object. If an object is moving at a velocity of 9,
and it has a kinetic energy of 120, about how great is the object's
mass? - 4
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?
- 5If x < 0 and y < 0, then |x + y| is equivalent to which of the following?