In the figure below, both circles are centered around X. The length of XY is 2 units and the length of XZ is 6 units. If the smaller circle is cut out of the larger circle, how much of the area, in square units, of the larger circle will remain?
How many different integer values of a satisfy the inequality ?
（A）1 （B） 2 （C） 3 （D） 4 （E） 5
Correct Answer: E
The formula for the volume of a sphere is , and the formula for the surface area of a sphere is . If a sphere has a surface area of 36π, what is its volume?
(F) 27π(G) 36π(H) 54π(J) 72π(K) 108π
Correct Answer: G
In the triangles shown below, what is the average of angles a, b, c, d, and e?
（A）30° （B） 45° （C） 54° （D） 60° （E） 72°
Correct Answer: C
More ACT Math Exam Questions
Connecting the midpoints of opposite sides of any quadrilateral to the midpoints of the adjacent sides must always create which of the following?
- 2The formula for the volume of a rectangular solid is V = lwh. If each dimension is tripled, how many times the original volume will the new volume be?
- 3In the complex numbers, where i2 = -1,
Every week, Donald records the amount of mileage that has accumulated on his truck. On Monday, Donald recorded that he had driven 16,450 kilometers. After a week of deliveries, his new recording was 18,130 kilometers. He drove for thirty hours during that week. What was his average driving speed during that week to the nearest kilometer per hour?
If , what is the value of a?