Given that E = ABCD, which of the following is an expression of B in terms of E, A, C, and D?
(A)
(B) E + ACD
(C) E - ACD
(D)
(E) EACD
In the following figure, the regular octagon has a side with a length of 1. What is the area of the shaded region?
(F) (G) (H) (J) (K)
Correct Answer: H
The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If kis the next-highest integer that also has exactly three factors, what is the sum of the three factors of k?
(F) 13(G) 14(H) 16(J) 18(K) 20
Correct Answer: F
Which of the following is NOT an irrational number?
(A) (B) (C) (D) (E)
Correct Answer: E
More ACT Math Exam Questions
- 1
When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?
- 2
A function is defined for x and y such that f(x, y) = -2xy + y + x - 4. So, for x = 2 and y = 3, f(2, 3) = -2 × 2 × 3 + 3 + 2 - 4 = -12 + 1 = -11. If x and y are to be chosen such that f(x,y) = f(y,x), then which of the following restrictions must be placed on x and y?
- 3For real numbers x and y, when is the equation |2x + 3y| = |2x - 3y| true?
- 4When she chooses a password, Eloise always uses exactly ten different characters: five letters (A, B, C, D, and E) and five numbers (2, 3, 4, 5, and 6). Additionally, she always ensures that no pair of letters is consecutive and that no pair of numbers is consecutive. How many different passwords conform to these rules?
- 5Two values of msatisfy the equation |5m– 11| – 3m= 9. What is the result when you multiply these two values together?