Given the functions f and g are defined as f(a) = 3a - 4 and g(a) = 2a2 + 1 what is the value of f(g(a))?
(A)6a2 - 1
(B) 6a2 - 3
(C) 2a2 + 3a - 3
(D) -2a2 + 3a + 3
(E) 18a2 - 48a + 33
On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephone pole casts a shadow 18 feet long. How many feet tall is the second telephone pole?
(A) 6(B) 12(C) 24(D) 36(E) 72
Correct Answer: E
For all positive a, b, and 
（A）
（B） 
（C） 
（D） 
（E） 
Correct Answer: E
The volume of a cone, which is derived by treating it as a pyramid with infinitely many lateral faces, is given by the formula V = 
πr2h, where r is the radius of the base and h is the height. If the radius is halved and the height is doubled, what will be the ratio of the new volume to the old volume?
(F) 4:01 (G) 2:01 (H) 1:01 (J) 1:02 (K) 1:04
Correct Answer: J
More ACT Math Exam Questions
- 1A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
- 2Two variables, vand w,are inversely proportional such that when v= 7, w= 14. What is the value of wwhen v= 2?
- 3If the monthly payment, m dollars, on a house that costs P dollars is given by the formula
, what is the monthly payment, to the nearest dollar, on a house that costs $200,000? - 4
Let x, y, and z be distinct positive integers. What is the fourth term of the geometric sequence below?
2xz, 2x2yz, 2x3y2z,…
- 5If a = BC, b = x, and c = yz, then AB = ?