Praxis Core Math Practice: 10 Questions with Answers and Explanations
Preparing for the Praxis Core Math test? Regular practice can help you improve your skills in arithmetic, fractions, percentages, ratios, algebra, geometry, and problem solving.
This practice set includes 10 original Praxis Core Math questions designed to help you build confidence and improve your test-taking skills.
Note: These are original practice questions created for educational purposes. They are not official Praxis test questions.
Question 1: Percentage
A teacher has 80 pencils. She gives 25% of the pencils to her students.
How many pencils does she give away?
A. 15
B. 20
C. 25
D. 30
Answer: B. 20
Explanation:
25% of 80 = 0.25 × 80 = 20.
Question 2: Fraction
What is the value of:
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
Then:
6/8 + 1/8 = 7/8.
Question 3: Ratio
The ratio of red books to blue books in a classroom is 2:3. If there are 10 red books, how many blue books are there?
A. 12
B. 15
C. 18
D. 20
Answer: B. 15
Explanation:
The ratio 2:3 means that for every 2 red books there are 3 blue books.
If 2 becomes 10, multiply by 5.
3 × 5 = 15.
Question 4: Algebra
If:
3x + 5 = 20
What is the value of x?
A. 3
B. 5
C. 7
D. 8
Answer: B. 5
Explanation:
3x + 5 = 20
3x = 15
x = 5.
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: Word Problem
A school bus travels 45 miles in 3 hours at a constant speed.
What is its average speed?
A. 12 miles per hour
B. 15 miles per hour
C. 18 miles per hour
D. 20 miles per hour
Answer: B. 15 miles per hour
Explanation:
Average speed = distance ÷ time
45 ÷ 3 = 15 miles per hour.
Question 7: 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 8: Probability
A bag contains 3 red balls and 7 blue balls.
What is the probability of selecting a red ball?
A. 3/7
B. 3/10
C. 7/10
D. 1/3
Answer: B. 3/10
Explanation:
There are 3 red balls out of 10 total balls.
Probability = favorable outcomes ÷ total outcomes
= 3/10.
Question 9: Decimal
What is:
2.5 × 4
A. 6
B. 8
C. 10
D. 12
Answer: C. 10
Explanation:
2.5 × 4 = 10.
Question 10: Multi-Step Problem
A teacher buys 4 boxes of markers. Each box contains 12 markers.
She gives 15 markers to her students.
How many markers does she have left?
A. 27
B. 30
C. 33
D. 48
Answer: C. 33
Explanation:
First find the total number of markers:
4 × 12 = 48
Then subtract the markers given away:
48 − 15 = 33.
Answer Key
- B
- C
- B
- B
- C
- B
- C
- B
- C
- C
Praxis Core Math Preparation Tips
1. Understand the question first
Before calculating, identify exactly what the question is asking.
2. Practice percentages and fractions
Fractions, decimals, percentages, and ratios are important areas for regular practice.
3. Show your work
Writing down the steps can help reduce careless mistakes.
4. Check your answer
If you have time, estimate whether your answer is reasonable before moving to the next question.
5. Practice multi-step problems
Do not focus only on simple calculations. Practice problems that require two or more steps.
Final Score Challenge
How many did you answer correctly?
9–10: Excellent! 🔥
7–8: Great progress! 💪
5–6: Keep practicing! 📚
Below 5: Review the fundamentals and try again.
This practice material is independently created for educational purposes and is not affiliated with or endorsed by ETS.
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