What is the area of the shaded region in the following figure?
(F) 10.5
(G) 12.5
(H) 18
(J) 21
(K) 24
Which of the following points on the xy-graph is the x-intercept of the equation y= 2x– 8?
(A) (0, 4)(B) (0, )(C) (4, 0)(D) (–4, 0)(E) (, 0)
Correct Answer: C
The 12 numbers on a circular clock are equally spaced around the edges of the clock. Belinda chooses an integer, n, that is greater than 1. Beginning at a randomly chosen number, Belinda goes around the circle counterclockwise and paints in every nth number. She continues going around and around the clock, painting in every nth number, until all twelve numbers on the clock are painted. Which of the following could have been Belinda's integer n?
(A) 2 (B) 3 (C) 6 (D) 7 (E) 9
Correct Answer: D
A 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?
(A)x2 + y2 = 4 (B) x2 + y2 = 16 (C) (x - 4)2 + (y - 4)2 = 4 (D) (x + 4)2 + (y + 4)2 = 16 (E) (x + 4)2 + (y - 4)2 = 16
Correct Answer: E
More ACT Math Exam Questions
- 1
What is the value of when x = -3 and y = -4?
- 2On an xy-graph, three corners of a parallelogram are located at (3, 3), (4, – 4), and (–2, –1). Which of the following points could be the remaining corner?
- 3
A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
What fraction of the critics gave the book a one-star review?
- 4After Jean spent 90% of her vacation money, $100 remained. How much vacation money did she originally have?
- 5
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?