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
Tara’s three bowling scores in a tournament were 167, 178, and 186. What was her average score for the tournament?
(F) 176(G) 177(H) 178(J) 179(K) 180
Correct Answer: G
When calculating a certain tax, Simone found that no tax is due for all income up to pdollars, with p > 0. Income greater than pdollars is taxed at a rate of 15%. Which of the following graphs accurately represents this tax?
(A) (B) (C) (D) (E)
Correct Answer: B
In ΔABC, shown below, the measure of b is 40°, the measure of c is 35°, and is 27 units long. Which one of the following is an expression of the length, in units, of ? (Note: The law of sines states that for any triangle, the ratio between the sine of an angle and the length of the side opposite that angle is the same for all of the interior angles in the triangle.)
(A) (B) (C) (D) (E)
Correct Answer: B
More ACT Math Exam Questions
- 1
Which of the following is a complete factorization of the expression 12b2c + 6bc + 3b?
- 2Which of the following values for a in the equation 3x + 3a - 5 = 5x - a causes the solution for x to be 6?
- 3
Gregor works as a political intern and receives a monthly paycheck. He spends 20% of his paycheck on rent and deposits the remainder into a savings account. If his deposit is $3,200, how much does he receive as his monthly pay?
- 4
In the figure below, ∠ ABC ≅ ∠ DFE, ∠ BAC ≅ ∠ FDE, D and F are on AB, AD ≅ FB, and distances in centimeters are as shown. What is the length of AD, in centimeters?
- 5The following figure is a quadrilateral with one right angle. The other angles are labeled. What is the value of x?