Accuplacer Arithmetic – Free Exercises
This page has free Accuplacer arithmetic exercises. The answers and solutions are in the next section of the page.
You will find more help with Accuplacer arithmetic in the last part of the page.
Instructions:
On scratch paper, find the solutions to the 10 following Accuplacer arithmetic exercises. [You won’t be allowed to use a calculator on the Accuplacer arithmetic test.]
Check your answers, provided below, and study the solutions.
1) Mary bought a used car that was on sale for $900. The original price of the car was $1200. What was the percentage of the discount on the sale?
2) What is 6 ÷ 32 ?
3) 42 × 0.25 = ?
4) What is 2/3 – 1/6 ?
5) 6 1/2 − 3 1/4 = ?
6) Estimate the product of: 14.9 × 10.2
7) Express 33% as a fraction.
8) 3.75 + .004 + .179 = ?
9) Which of the following is the least?
A) .62
B) .062
C) .602
D) .0602
10) A $10 shirt was for sale at a 10% discount. What was the sales price of the shirt?
Free Interactive Arithmetic Test
Get 400 Extra Accuplacer Math Problems – PDF
Accuplacer Arithmetic – Answers
1) 25%
2) 0.1785
3) 10.50
4) 1/2
5) 31/4
6) 150
7) 33/100
8) 3.933
9) 0.0602
10) $9
Accuplacer Arithmetic – Solutions
Solution 1:
Practical Accuplacer arithmetic problems are usually expressed in words., rather than as mathematical equations.
In order to calculate a discount, you must first determine how much the item was marked down.
Markdown = Original Price – Sales Price
$1200 − $900 = $300
Then divide the mark down by the original price and convert to a percentage.
Percentage Discount = Markdown ÷ Original Price
300 ÷ 1200 = 0.25
0.25 = 25%
Solution 2:
For division problems on the arithmetic part of the exam, you must do long division until you have no remainder.
Our problem was: What is 6 ÷ 32 ?
.1875
32)6.0000
3.2
2.80
2.56
.240
.224
.0160
.0160
0
Solution 3:
The Accuplacer arithmetic section includes long multiplication problems.
You won’t be allowed to use a calculator on the Accuplacer arithmetic test.
So, be sure your know how to do multiplication by hand, as shown below.
Our problem was: 42 × 0.25 = ?
42
× .25
2.10
8.40
10.50
Solution 4:
For fraction problems, you have to find the lowest common denominator. The denominator is the number on the bottom of the fraction.
Before you subtract the fractions, you have to change them so that the bottom numbers for each fraction are the same.
You do this my multiplying the numerator [top number] by the same number you use on the denominator for each fraction:
Our question was: What is 2/3 – 1/6 ?
Finding the LCD
The lowest common denominator for each fraction above is 6.
In order to get the lowest common denominator, we have to convert the first fraction as follows:
2/3 × 2/2 = 4/6
When you have got both fractions in the same denominator, you subtract them.
4/6 − 1/6 = 3/6 = 1/2
Solution 5:
Our problem was: 6 1/2 − 3 1/4 = ?
In order to solve this problem, you can subtract the whole numbers separately: 6 − 3 = 3
Then subtract the fractions: 1/2 − 1/4 = 2/4 − 1/4 = 1/4
Then combine the two results: 3 + 1/4 = 31/4
Solution 6:
Our problem was: Estimate the product of: 14.9 × 10.2
In order to solve the problem, you simply need to round each number up or down and then multiply.
14.9 is rounded up to 15
10.2 is rounded down to 10
After rounding, perform the multiplication:
15 × 10 = 150
Solution 7:
Percentages are expressed as the number over one hundred.
So 33% = 33/100
Solution 8:
Remember to line all of the decimals up in a column.
Our problem was: 3.75 + .004 + .179 = ?
Line up the decimal points as shown when you add up.
3.750
0.004
0.179
3.933
Solution 9:
The number 0.0602 is the least.
Our numbers were:
A) .62
B) .062
C) .602
D) .0602
If you have difficulties with this type of exercise, remove the decimals to see the answer more clearly.
62
062
602
0602
Solution 10:
The shirt was normally $10, but was on sale at a 10% discount.
Sales Price = Original Price – (Original price × Discount %)
$10 – ($10 × 10%) = $10 – $1 = $9
Get More Accuplacer Arithmetic Help
Our free online practice test provides in-depth practice with all of the arithmetic skills on the actual exam.
Arithmetic Skills & Question Types
Accuplacer arithmetic problems generally fall into six categories.
1) Basic Arithmetic Operations
Basic operations include multiplication, division, addition, and subtraction of whole numbers, fractions, and mixed numbers.
A problem in this skill set might look like problem 5 above.
2) Recognizing Equivalents
Recognizing equivalent fractions and decimals is also assessed on the Accuplacer arithmetic section.
These types of questions appear frequently on this part of the test.
3) Fractions, Decimals & Percentages
Be sure you know how to do basic operations with fractions and decimals.
Question 7 above is an example problem for this skill set.
You will also need to know how to do multiplication, division, addition, and subtraction of decimals and percentages.
See problem 8 above for an example.
4) Comparisons
You may be asked to make comparisons of decimals or fractions in order to find the lowest or highest number.
See problem 9 above for an example.
5) Practical Problems
Problem-solving is very common on the Next Generation Arithmetic Exam.
It includes problems on dealing with measurement, distribution, and discounts.
Problem solving questions are expressed in words, like a story or narrative, rather than as arithmetic equations.
In problem solving questions, you must work out what equation you need, and then use it to solve the problem.
See problem 10 above for an example.
Arithemetic Test Format
The Accuplacer arithmetic section includes question on:
- Whole number operations
- Fractions
- Decimals
- Percentages
- Number comparisons and equivalents
Get Our Accuplacer Arithmetic Tests
Get 4 Accuplacer Next Generation Arithmetic Tests
You take our practice tests online.
You will your score and explanations after each question.
The arithmetic practice tests are in the same exact format as the actual exam.
Each practice test has 20 questions, covering the skills above.
Try the free sample: Accuplacer Online Test Sample
More Accuplacer Samples
If you feel confident with the skills covered on this page, then you can go ahead to the other math problems for algebra, geometry, and trigonometry.
