Can you ace the ACT college admissions math test?
Take this 10-question quiz with ACT sample questions to see how well you know
college-level math
START QUIZ
A square is inscribed in a circle as shown below. The radius of the circle is 7 inches, and the distance from the centers of the square and circle to the edge of the square is 5 inches. What is the area, in square inches, of the shaded region?
THE ANSWER IS C
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OUT OF 10
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YOU GOT
Sample ACT test questions provided by On To College
QUESTION 1 OF 10
A
E
C
D
B
E
D
C
B
A
A square is inscribed in a circle as shown below. The radius of the circle is 7 inches, and the distance from the centers of the square and circle to the edge of the square is 5 inches. What is the area, in square inches, of the shaded region?
QUESTION 1 OF 10
K
J
H
G
F
For all real numbers x such that x ≠ 0,
QUESTION 2 OF 10
For all real numbers x such that x ≠ 0,
QUESTION 2 OF 10
THE ANSWER IS K
NEXT
K
J
G
F
H
E
D
C
B
A
Michal has 100 solid-colored candies that are either red, yellow, or green. She groups them on the table and finds that there are 15 more green candies than red and 7 more yellow candies than green. How many yellow candies does she have?
QUESTION 3 OF 10
21
22
36
43
78
78
E
43
D
36
C
22
B
21
A
Michal has 100 solid-colored candies that are either red, yellow, or green. She groups them on the table and finds that there are 15 more green candies than red and 7 more yellow candies than green. How many yellow candies does she have?
QUESTION 3 OF 10
THE ANSWER IS D
NEXT
K
J
H
G
F
If 5y − b = 30, then, in terms of b, y = ?
QUESTION 4 OF 10
K
J
H
G
F
If 5y − b = 30, then, in terms of b, y = ?
QUESTION 4 OF 10
THE ANSWER IS J
NEXT
200
E
100
D
80
C
40
B
10
A
The area of a rectangle is 400 square inches, and its length is 4 times its width. How many inches wide is the rectangle?
QUESTION 5 OF 10
200
E
100
D
80
C
40
B
10
A
The area of a rectangle is 400 square inches, and its length is 4 times its width. How many inches wide is the rectangle?
QUESTION 5 OF 10
THE ANSWER IS A
NEXT
K
J
H
G
F
A college admissions office accepts 3 out of every 8 applicants. Given that the college accepted 840 students, how many applicants were NOT accepted?
QUESTION 6 OF 10
3,080
2,240
1,848
1,400
315
K
J
H
G
3,080
2,240
1,848
1,400
315
F
A college admissions office accepts 3 out of every 8 applicants. Given that the college accepted 840 students, how many applicants were NOT accepted?
QUESTION 6 OF 10
THE ANSWER IS G
NEXT
35
E
22.5
D
18
C
10
B
5
A
The combined length of 4 pieces of rope is 90 inches. The lengths of the pieces are in the ratio 2:3:6:7. What is the length, in inches, of the shortest piece?
QUESTION 7 OF 10
35
E
22.5
D
18
C
10
B
5
A
The combined length of 4 pieces of rope is 90 inches. The lengths of the pieces are in the ratio 2:3:6:7. What is the length, in inches, of the shortest piece?
QUESTION 7 OF 10
NEXT
THE ANSWER IS B
K
J
H
G
z + 14 > 3y + 6
3 + y − 6 > z + 14
z + 14 > 3y − 6
3y − 6 > z + 14
6 − 3y > z + 14
F
Which of the following inequalities is an equivalent algebraic expression for the statement below?
QUESTION 8 OF 10
THE ANSWER IS K
NEXT
K
J
H
G
z + 14 > 3y + 6
3 + y − 6 > z + 14
z + 14 > 3y − 6
3y − 6 > z + 14
6 − 3y > z + 14
F
Which of the following inequalities is an equivalent algebraic expression for the statement below?
6 less than the product of 3 and a number y is greater than the sum of another number z and 14
QUESTION 8 OF 10
130
E
70
D
10
C
−130
B
−190
A
QUESTION 9 OF 10
130
E
70
D
10
C
−130
B
−190
A
QUESTION 9 OF 10
THE ANSWER IS A
NEXT
K
J
H
G
80
48
16
4
2
F
QUESTION 10 OF 10
K
J
H
G
80
48
16
4
2
F
QUESTION 10 OF 10
THE ANSWER IS H
RETAKE QUIZ
CORRECT
6 less than the product of 3 and a number y is greater than the sum of another number z and 14
A square is inscribed in a circle as shown below. The radius of the circle is 7 inches, and the distance from the centers of the square and circle to the edge of the square is 5 inches. What is the area, in square inches, of the shaded region?
Which of the following inequalities is an equivalent algebraic expression for the statement below?
6 less than the product of 3 and a number y is greater than the sum of another number z and 14
