Praxis Core Math Practice: 10 Questions You Should Know Before Test Day
Preparing for the Praxis Core Math test? One of the best ways to improve your performance is to practice different question types and understand the reasoning behind each answer.
Today’s practice set covers arithmetic, percentages, ratios, algebra, geometry, and data interpretation.
Question 1: Fractions
What is the value of:
3/4 + 1/8
A. 5/8
B. 7/8
C. 1
D. 9/8
Answer: B. 7/8
To add the fractions, convert 3/4 to 6/8. Then 6/8 + 1/8 = 7/8.
Question 2: Percentages
A jacket originally costs $80 and is discounted by 25%. What is the sale price?
A. $55
B. $60
C. $65
D. $70
Answer: B. $60
Twenty-five percent of $80 is $20. Subtracting $20 from $80 gives a sale price of $60.
Question 3: Ratios
The ratio of red marbles to blue marbles is 2:3. If there are 10 red marbles, how many blue marbles are there?
A. 12
B. 15
C. 18
D. 20
Answer: B. 15
The ratio 2:3 is multiplied by 5 to get 10:15.
Question 4: Algebra
If 3x + 7 = 22, what is the value of x?
A. 3
B. 4
C. 5
D. 6
Answer: C. 5
Subtract 7 from both sides:
3x = 15
Therefore, x = 5.
Question 5: 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
Area = length × width
12 × 5 = 60 square inches.
Question 6: Average
What is the average of 8, 12, 15, and 5?
A. 8
B. 9
C. 10
D. 12
Answer: C. 10
Add the numbers:
8 + 12 + 15 + 5 = 40
Then divide by 4:
40 ÷ 4 = 10.
Question 7: Proportions
If 4 notebooks cost $12, how much would 7 notebooks cost at the same rate?
A. $18
B. $19
C. $21
D. $24
Answer: C. $21
Each notebook costs $3.
7 × $3 = $21.
Question 8: Exponents
What is the value of 2³ × 2²?
A. 16
B. 24
C. 32
D. 64
Answer: C. 32
When multiplying powers with the same base, add the exponents:
2³ × 2² = 2⁵ = 32.
Question 9: Probability
A bag contains 3 red balls and 7 blue balls. What is the probability of randomly selecting a red ball?
A. 3/7
B. 3/10
C. 7/10
D. 1/3
Answer: B. 3/10
There are 3 favorable outcomes out of 10 total balls.
Question 10: Word Problem
A car travels 240 miles in 4 hours at a constant speed. What is its average speed?
A. 40 mph
B. 50 mph
C. 60 mph
D. 80 mph
Answer: C. 60 mph
Speed = distance ÷ time
240 ÷ 4 = 60 miles per hour.
Quick Praxis Core Math Strategy
When solving Praxis Core Math questions, don't rush into calculations. First identify what the question is asking, choose the appropriate operation or formula, and then check whether your answer makes sense.
Practice with a variety of question types so you become comfortable switching between arithmetic, algebra, geometry, and data problems.
How many did you get correct out of 10?
Share your score and keep practicing for the Praxis Core Math test.
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