Praxis Core Math Practice: 10 Questions with Answers and Explanations
Preparing for the Praxis Core Math test? Regular practice can help you become more comfortable with numbers, algebra, geometry, data interpretation, and problem-solving.
This free practice set contains 10 original Praxis Core Math questions with answers and explanations. Try solving each problem before checking the answer.
Note: These are original practice questions created for educational purposes. They are not official Praxis test questions.
Question 1: Percent
A jacket originally costs $80. It is on sale for 25% off.
What is the sale price?
A. $20
B. $55
C. $60
D. $65
Answer: C. $60
Explanation:
25% of $80 is $20. Subtract $20 from $80:
$80 − $20 = $60.
Question 2: Fractions
What is:
3/4 + 1/8
A. 4/12
B. 5/8
C. 7/8
D. 1
Answer: C. 7/8
Explanation:
Convert 3/4 to eighths:
3/4 = 6/8
Therefore:
6/8 + 1/8 = 7/8.
Question 3: Algebra
If:
3x + 5 = 20
What is the value of x?
A. 3
B. 5
C. 7
D. 8
Answer: B. 5
Explanation:
Subtract 5 from both sides:
3x = 15
Divide by 3:
x = 5.
Question 4: Ratio
A classroom has 12 boys and 18 girls.
What is the ratio of boys to girls in simplest form?
A. 2:3
B. 3:2
C. 12:30
D. 6:9
Answer: A. 2:3
Explanation:
The ratio is 12:18. Divide both numbers by 6:
12 ÷ 6 : 18 ÷ 6 = 2:3.
Question 5: Average
A student receives the following scores:
70, 80, 90, 100
What is the average score?
A. 80
B. 82
C. 85
D. 90
Answer: C. 85
Explanation:
Add the scores:
70 + 80 + 90 + 100 = 340
Then divide by 4:
340 ÷ 4 = 85.
Question 6: Geometry
A rectangle has a length of 12 inches and a width of 5 inches.
What is its area?
A. 17 square inches
B. 34 square inches
C. 60 square inches
D. 120 square inches
Answer: C. 60 square inches
Explanation:
Area of a rectangle:
Length × Width
12 × 5 = 60 square inches.
Question 7: Probability
A bag contains 3 red balls and 2 blue balls.
If one ball is selected at random, what is the probability of selecting a blue ball?
A. 1/5
B. 2/5
C. 3/5
D. 2/3
Answer: B. 2/5
Explanation:
There are 5 balls in total and 2 are blue.
Probability = 2/5.
Question 8: Word Problem
A car travels 240 miles using 8 gallons of fuel.
At the same rate, how many miles does the car travel per gallon?
A. 20
B. 25
C. 30
D. 32
Answer: C. 30
Explanation:
240 ÷ 8 = 30
The car travels 30 miles per gallon.
Question 9: Exponents
What is the value of:
2³
A. 5
B. 6
C. 8
D. 9
Answer: C. 8
Explanation:
2³ means:
2 × 2 × 2 = 8.
Question 10: Data Interpretation
A store sells 20 books on Monday, 30 on Tuesday, 25 on Wednesday, and 35 on Thursday.
On which day were the most books sold?
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
Answer: D. Thursday
Explanation:
Thursday had the highest number of sales: 35 books.
Answer Key
| Question | Answer |
|---|---|
| 1 | C |
| 2 | C |
| 3 | B |
| 4 | A |
| 5 | C |
| 6 | C |
| 7 | B |
| 8 | C |
| 9 | C |
| 10 | D |
How to Improve Your Praxis Core Math Score
1. Practice basic arithmetic
Make sure you are comfortable with fractions, decimals, percentages, ratios, and averages.
2. Understand the problem
For word problems, identify what information is given and exactly what the question is asking.
3. Show your work
Writing down each step can reduce careless mistakes.
4. Check your answer
After solving, ask whether your answer makes sense in the context of the problem.
5. Practice regularly
Short, consistent practice sessions can be more useful than trying to learn everything in one sitting.
Final Score Challenge
How many questions did you answer correctly?
9–10: Excellent work!
7–8: Strong start—keep practicing.
5–6: Review the concepts and try again.
Below 5: Focus on the fundamentals and build your skills step by step.
Keep practicing and focus on understanding the method behind each answer.
This practice material is independently created for educational purposes and is not affiliated with or endorsed by ETS.
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