In the figure below, ABCD is a rectangle, AB = AE, and E, F, G, and H lie on AD. Of the angles BEA, BFA, BGA, BHA, and ∠BDA, which one has the greatest tangent?
(F) ∠BEA
(G) ∠BFA
(H) ∠BGA
(J) ∠BHA
(K) ∠BDA
For all positive a, b, and
(A) (B) (C) (D) (E)
Correct Answer: E
Ding’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?
(A)4 (B)14 (C)30 (D)120 (E)180
Correct Answer: D
A basketball player has attempted 30 free throws and made 12 of them. Starting now, if he makes every free throw attempted, what is the least number of additional free throws he must attempt to raise his free-throw percentage to at least 55%?
(Note: Free-throw percentage =
× 100.)
(A)5 (B) 10 (C) 16 (D) 17 (E) 29
Correct Answer: B
More ACT Math Exam Questions
- 1
For all real numbers s, t, u, and v, such that s + t + u = 29 and s < v, which of the following statements is true?
- 2A circle in the standard (x, y) coordinate plane is tangent to the x-axis at -a, and tangent to the y-axis at a, with a > 0. The radius of the circle is 4 units. What is the equation of the circle?
- 3
The table below gives the values of f(x) for selected values of x in the function f(x) = (x + 4)2 - 1, where x and y are both real numbers.