10 Most Common ACCUPLACER Math Questions

10 Most Common ACCUPLACER Math Questions

Preparing for the ACCUPLACER Math test? Want a preview of the most common mathematics questions on the ACCUPLACER Math test? If so, then you are in the right place.

The mathematics section of ACCUPLACER can be a challenging area for many test-takers, but with enough patience, it can be easy and even enjoyable!

Preparing for the ACCUPLACER Math test can be a nerve-wracking experience. Learning more about what you’re going to see when you take the ACCUPLACER can help to reduce those pre-test jitters. Here’s your chance to review the 10 most common ACCUPLACER Math questions to help you know what to expect and what to practice most. Try these 10 most common ACCUPLACER Math questions to hone your mathematical skills and to see if your math skills are up to date on what’s being asked on the exam or if you still need more practice.

Make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

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10 Sample ACCUPLACER Math Practice Questions

Q1

A soccer team played 120 games and won 70 percent of them. How many games did the team win?

A

84

B

94

C

104

D

114

Show answer and explanation

A
\(120 × \frac{70}{100} = 84\)

Q2

Line m passes through the point \((−1, 2)\). Which of the following CANNOT be the equation of line m?

A

\(y = 1 – x\)

B

\(y = x + 1\)

C

\(x = –1\)

D

\(y = x + 3\)

Show answer and explanation

B
Solve for each equation:
\((−1, 2)\)
\( y = 1 – x ⇒ 2 = 1 – (–1) ⇒ 2 = 2\)
\( y = x + 1 ⇒ 2 = –1 + 1 ⇒ 2 ≠ 0\)
\( x = –1 ⇒ –1 = –1\)
\(y = x + 3 ⇒ 2 = –1 + 3 ⇒ 2 = 2\)

Q3

\((p^4) . (p^5) = ?\)

A

\(P^{20}\)

B

\(2P^{9}\)

C

\(P^{9}\)

D

\(2P^{20}\)

Show answer and explanation

C
\((p^4). (p^5) = p^{4 + 5} = p^9\)

Q4

If \(a = 8\) what’s the value of \(4a^2 + 3a + 10\)?

A

166

B

216

C

290

D

276

Show answer and explanation

C
If \(a = 8\), then:
\(4a^2 + 3a + 10 ⇒ 4(8)^2 + 3(8) + 10 ⇒ 4(64) + 24 + 10 = 290\)

Q5

If \(a^5 + b^5 = a^5 + c^5\) , then \(b =\) ?

A

\(c\)

B

\(a\)

C

\(b^4 – a^4\)

D

\(a^4 – b^4\)

Show answer and explanation

A
If \(a^5 + b^5 = a^5 + c^5\)
then:
\(b^5 = c^5 ⇒ b = c\)

Q6

The equation of a line is given as \(y = 5x – 3\). Which of the following points does not lie on the line?

A

\((1, 2)\)

B

\((–2, –13)\)

C

\((3, 18)\)

D

\((2, 7)\)

Show answer and explanation

C
\(y = 5x – 3\)
\( (1, 2) ⇒ 2 = 5 – 3 ⇒ 2 = 2\)
\( (–2, –13) ⇒ –13 = –10 – 3 ⇒ –13 = –13\)
\( (3, 18) ⇒ 18 = 15 – 3 ⇒ 18 ≠ 12\)
\( (2, 7) ⇒ 7 = 10 – 3 ⇒7 = 7\)

Q7

\(5^{\frac{7}{3}}× 5^{\frac{2}{3}}=?\)

A

\(5^2\)

B

\(5^1\)

C

\(5^3\)

D

\(3^0\)

Show answer and explanation

C
\(5^{\frac{7}{3}}× 5^{\frac{2}{3}} = 5^{\frac{7}{3}+\frac{2}{3}} = 5^{\frac{9}{3}} = 5^3\)

Q8

What is 152.6588 rounded to the nearest hundredth?

A

152.65

B

152.66

C

153

D

152.659

Show answer and explanation

B
Underline the hundredths place:
\( 152.6588\)
Look to the right if it is 5 or above, give it a shove.
Then, round up to 152.66

Q9

The sum of three numbers is 45. If another number is added to these three numbers, the average of the four numbers is 20. What is the fourth number?

A

20

B

35

C

40

D

45

Show answer and explanation

B
\(a + b + c = 45\)
\(\frac{a+b+c+d}{4} = 20\) \(⇒ a+b+c+d = 80 ⇒ 45 + d = 80\)
\(d = 80 – 45 = 35\)

Q10

David owed $8240. After making 45 payments of $124 each, how much did he have left to pay?

A

$2660

B

$3660

C

$5580

D

$6800

Show answer and explanation

A
\(45×$124=$5580\) Payable amount is: \($8240-$5580=$2660\)

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