Praxis Core Math Practice Test: Number and Quantity
- Number and Quantity
- 10 questions
- 14 minutes
Ten number and quantity questions like those on the Praxis Core Mathematics test. Tip: when a price changes twice by percents, apply the changes one after the other instead of adding the percents.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
What is 34 + 23?
Correct answer: B
Use the common denominator 12: 912 + 812 = 1712. Adding tops and bottoms separately gives the wrong answer 57.
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Question 2
What is 15% of 240?
Correct answer: A
15% = 0.15, and 0.15 × 240 = 36. Taking 10% (24) only gives part of the answer.
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Question 3
A jacket costs $50. It is on sale for 20% off, and then an 8% sales tax is added to the sale price. What is the final cost?
Correct answer: D
Sale price: 50 × 0.80 = $40. With tax: 40 × 1.08 = $43.20. Subtracting 20% and 8% from $50 together (28% off) gives the wrong $36.00.
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Question 4
The ratio of boys to girls in a class of 40 students is 3 : 5. How many girls are in the class?
Correct answer: C
There are 3 + 5 = 8 parts, so each part is 40 ÷ 8 = 5 students. Girls: 5 × 5 = 25. The answer 15 is the number of boys.
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Question 5
Which number is the greatest?
Correct answer: A
Compare place by place: 0.350 > 0.305 > 0.300 > 0.053. Having more digits, as in 0.305, does not make a decimal larger.
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Question 6
What is (4.2 × 103)(2 × 10−5)?
Correct answer: B
Multiply the numbers (4.2 × 2 = 8.4) and add the exponents (3 + (−5) = −2). Multiplying the exponents gives the wrong −15.
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Question 7
A store sells 6 pounds of apples for $13.50. At this rate, how much do 10 pounds of apples cost?
Correct answer: D
The unit price is 13.50 ÷ 6 = $2.25 per pound, and 2.25 × 10 = $22.50. The answer $135.00 multiplies the total price by 10.
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Question 8
The number of students in a club grew from 80 to 92. By what percent did the number increase?
Correct answer: C
The increase is 92 − 80 = 12, and 12 ÷ 80 = 0.15 = 15%. Dividing by the new value 92 gives about 13%, which is a common mistake.
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Question 9
Which value is closest to 398 × 51?
Correct answer: A
Round to 400 × 50 = 20,000; the exact product is 20,298. The other options are off by a factor of 10 or more.
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Question 10
What is −7 − (−12) + 3?
Correct answer: D
Subtracting −12 means adding 12: −7 + 12 = 5, and 5 + 3 = 8. Treating − (−12) as −12 gives −16.
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