Daily Math Practice Challenge: Preparing for the ACT Exam-DAY 17


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6. How many minutes would it take a train to travel 100 miles at a constant speed of 120 miles per hour?
(Note: There are 60 minutes in 1 hour.)

A. 20
B. 50
C. 72
D. 83
E. 120

Correct Answer:B
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7. A quilt maker uses $25 worth of materials to produce a single quilt that sells for $100. What is the minimum number of this type of quilt the quilt maker can produce and sell to earn a profit of at least $900 ?

F. 8
G. 9
H. 12
J. 27
K. 36

Correct Answer:H
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8. What is the volume, in cubic inches, of a cylinder that has a diameter of 16 inches and a height of 25 inches?
(Note: The volume, V, of a cylinder with radius r and height h is given by ​\( V=πr^2h \)​)

A. 200π
B. 400π
C. 1,600π
D. 5,000π
E. 6,400π

Correct Answer:C
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9. The lengths of corresponding sides of 2 similar right triangles are in the ratio 2:7. The hypotenuse of the smaller triangle is 8 inches long. How many inches long is the hypotenuse of the larger triangle?

F. 3.5
G. 9
H. 13
J. 14
K. 28

Correct Answer:K
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10. The Student Council is preparing a budget for an upcoming fund-raising dance. They have decided to spend $225 for a light and sound show, $600 for refreshments, and $75 for decorations. These are the only expenses. Given that the Student Council estimates 400 students will attend the dance, what should be the price, per student, for admission to the dance if the Student Council wants to raise as close as possible to $500 after paying expenses?

A. $0.80
B. $1.25
C. $1.60
D. $2.25
E. $3.50

Correct Answer:E
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