ACT math practice test 17

1. Point X is located at -15 on the real number line. If point Y is located at -11, what is the midpoint of line segment XY?

A. -13
B. -4
C. -2
D. 2
E. 13

2. Given triangle CDE (shown below) with a right angle at point E, what is the length of leg DE?

F. 8
G.
H. 6
J.
K. 16

3. Lucy is studying her ant farm. She needs to approximate the number of ants in the population, and she realizes that the number of ants, N, is close to 50 more than double the volume of the ant farm, V. Which of the formulas below expresses that approximation?

A. N V + 50
B. N(V + 50)
C. N ≈ 2V + 50
D. N ≈ 2(V + 50)
E. NV2 + 50

4. Lisa has 5 fiction books and 7 nonfiction books on a table by her front door. As she rushes out the door one day, she takes a book at random. What is the probability that the book she takes is fiction?

F.
G.
H.
J.
K.

5. In the spring semester of her math class, Katie's test scores were 108, 81, 79, 99, 85, and 82. What was her average test score in the spring semester?

A. 534
B. 108
C. 89
D. 84
E. 80

6. Given parallel lines l and m, which of the following choices lists a pair of angles that must be congruent?

F. 1 and 2
G. 1 and 3
H. 2 and 3
J. 2 and 5
K. 3 and 5

7. 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?

A. $4,000
B. $5,760
C. $7,200
D. $8,000
E. $17,000

8. Given parallelogram ABCD below and parallelogram EFGH (not shown) are similar, which of the following statements must be true about the two shapes?

F. Their areas are equal.
G. Their perimeters are equal.
H. Side AB is congruent to side EF.
J. Diagonal AC is congruent to diagonal EG.
K. Their corresponding angles are congruent.

9. A size 8 dress that usually sells for $60 is on sale for 30% off. Victoria has a store credit card that entitles her to an additional 10% off the reduced price of any item in the store. Excluding sales tax, what is the price Victoria pays for the dress?

A. $22.20
B. $24.75
C. $34.00
D. $36.00
E. $37.80

10. Erin and Amy are playing poker. At a certain point in the game, Erin has 3 more chips than Amy. On the next hand, Erin wins 4 chips from Amy. Now how many more chips does Erin have than Amy?

F. 1
G. 4
H. 7
J. 11
K. 14

11. If y = 4, then |1 - y| = ?

A. -5
B. -3
C. 3
D. 4
E. 5

12. (3a + 2b)(a - b2) is equivalent to:

F. 4a + b2
G. . 3a2 - 2b3
H. . 3a2 + 2ab + 2b3
J. . 3a2 - 3ab2 + a2 b2
K. . 3a2 - 3ab2 + 2ab - 2b3

13. For all real values of y, 3 - 2(4 - y) = ?

A. -2y - 9
B. -2y + 8
C. -2y - 1
D. 2y - 5
E. 2y + 11

14. Which of the following is equivalent to (Y3)8?

F. y11
G. y24
H. 8y3
J. 8y11
K. 24y

15. If the first day of the year is a Monday, what is the 260th day?

A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday