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ACT American College Testing: Math Section Sample Questions (Q59-Q64):

NEW QUESTION # 59
FILL BLANK
The length of a room is three more than twice the width of the room. The perimeter of the room is 66 feet.
What is the length of the room? Answer: ** Explanation:
23
NEW QUESTION # 60**
When x = 4 and y = 5, by how much does the value of 3x 2 - 2y exceed the value of 2x 2 - 3y?

• A. 0
• B. 1
• C. 2
• D. 3

Answer: C
NEW QUESTION # 61
In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

• A. 78 cm2
• B. 39 cm2
• C. 89 cm2
• D. 25 cm2
• E. 64 cm2

Answer: B
NEW QUESTION # 62
A box in the shape of a cube has an interior side length of 18 inches and is used to ship a right circular cylinder with a radius of 6 inches and a height of 1 2 inches. The interior of the box not occupied by the cylinder is filled with packing material.
Which of the following numerical expressions gives the number of cubic inches of the box filled with packing material?

• A. 6(18) 2 - 2π(6)(12)
• B. 18 3 - π(6)(12) 2
• C. 6(18) 2 - 2π(6)(12) - 2π(6) 2
• D. 18 3 - π(12) 3
• E. 18 3 - π(6) 2 (12)

Answer: E
NEW QUESTION # 63
In the standard (x, y) coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (-3, 0) and (7, 4)?

• A. (2, 2)
• B. (5, 5)
• C. (5, 4)
• D. (5, 2)
• E. (2, 4)

Answer: A
NEW QUESTION # 64
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