ACT Test 1
Mathematics Test
Time: 60 minutes for 60 questions
Directions: Each question has five answer choices. Choose the best answer for each question, and then shade in the corresponding oval on your answer sheet.
1.
Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?
5.
(C) 37
William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
(D) 38
(A) $2,400
(E) 39
(B) $2,500
(A) 35
(B) 36
2.
(F) 50 minutes
(G) 1 hour and 10 minutes
(H) 1 hour and 12 minutes
(J) 1 hour and 15 minutes
(K) 1 hour and 20 minutes
3.
(C) $2,600
Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift.
How long did she take to paint each room?
(D) $2,800
(E) $3,000
6.
When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtracted 7 from the same number and then multiplied by 11. What is the number?
(F) 10
(G) 13
If 5x + 3 = 10x – 17, what is the value of x?
(H) 19
(A) 1
(J) 23
(B) 2
(K) 31
(C) 3
(D) 4
(E) 5
4.
The number 4 is the smallest positive integer that has exactly three factors:
1, 2, and 4. If k is the next-highest integer that also has exactly three factors, what is the sum of the three factors of k?
(F) 13
(G) 14
(H) 16
(J) 18
(K) 20
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7.
Which of the following inequalities is represented by the following number line?
–7
–6
–5
–4
–3
–2
–1
0
1
2
3
4
5
6
7
(A) –5 < x < 5
(B) –5 ≤ x < 5
(C) –5 < x ≤ 5
(D) |x| < 5
(E) 5 ≤ |x|
8.
In the following figure, the two triangles are similar. The lengths of their sides are shown. What is the value of y in terms of x?
x
2
6
3 x y
(F) x + 1
(G) x + 2
(H) x + 3
(J) x + 4
(K) x + 5
9.
Which of the following is equal to (n – 3)2
Time: 60 minutes for 60 questions
Directions: Each question has five answer choices. Choose the best answer for each question, and then shade in the corresponding oval on your answer sheet.
1.
Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?
5.
(C) 37
William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
(D) 38
(A) $2,400
(E) 39
(B) $2,500
(A) 35
(B) 36
2.
(F) 50 minutes
(G) 1 hour and 10 minutes
(H) 1 hour and 12 minutes
(J) 1 hour and 15 minutes
(K) 1 hour and 20 minutes
3.
(C) $2,600
Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift.
How long did she take to paint each room?
(D) $2,800
(E) $3,000
6.
When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtracted 7 from the same number and then multiplied by 11. What is the number?
(F) 10
(G) 13
If 5x + 3 = 10x – 17, what is the value of x?
(H) 19
(A) 1
(J) 23
(B) 2
(K) 31
(C) 3
(D) 4
(E) 5
4.
The number 4 is the smallest positive integer that has exactly three factors:
1, 2, and 4. If k is the next-highest integer that also has exactly three factors, what is the sum of the three factors of k?
(F) 13
(G) 14
(H) 16
(J) 18
(K) 20
Go on to next page
21_9781118001547-ch13.indd 239
5/23/11 8:06 PM
7.
Which of the following inequalities is represented by the following number line?
–7
–6
–5
–4
–3
–2
–1
0
1
2
3
4
5
6
7
(A) –5 < x < 5
(B) –5 ≤ x < 5
(C) –5 < x ≤ 5
(D) |x| < 5
(E) 5 ≤ |x|
8.
In the following figure, the two triangles are similar. The lengths of their sides are shown. What is the value of y in terms of x?
x
2
6
3 x y
(F) x + 1
(G) x + 2
(H) x + 3
(J) x + 4
(K) x + 5
9.
Which of the following is equal to (n – 3)2