- Quantitative and Math Reasoning 15 of 50
- Verbal Reasoning 15 of 50
- Logic and Deductive Reasoning 13 of 50
- Clerical Speed and Accuracy 8 of 50
Free · 2026 · 15 of 50 questions on this practice test Wonderlic Quantitative and Math Reasoning practice questions
Quantitative and Math Reasoning: 15 of 50 questions on this practice test. Answer 10 questions (6 on Quantitative and Math Reasoning) and see your score by domain and your weakest area. Free, no sign-up.
On a map, 1 inch stands for 20 miles. Two towns are 6.5 inches apart on the map. How many miles apart are they?
Tap an answer, or press A to E
Percentages, rates and work problems, ratios, fractions, averages, prices and mental math, all without a calculator.
What the Wonderlic-style cognitive ability test tests in Quantitative and Math Reasoning
- Percentages: percent of a number, discounts and sale prices, percent change (always against the starting value), successive changes
- Rates: distance, speed and time; work and production rates; combined work
- Ratios and proportions: ratio splits, direct proportion (recipes, fuel, map scales)
- Fractions and decimals: fraction of a number, adding and subtracting fractions, comparing fractions, decimals and percents
- Averages: mean of a list, missing value, score needed to raise an average
- Money and pricing: unit price and best buy, bulk pricing per dozen, commission, making change
- Measurement and units: feet/inches, hours/minutes, decimal hours, yards, ounces
- Mental arithmetic under time pressure: x5, x11, x25, x99, squares of numbers ending in 5, difference of squares
- Time and scheduling: end times, hours worked minus breaks; simple algebra word problems (ages)
High-yield quantitative and math reasoning facts
- Find 10% first by moving the decimal one place left, then build the other percents from it (see table).
- Swap rule: x% of y = y% of x. Example: 8% of 50 = 50% of 8 = 4. Another: 16% of 25 = 25% of 16 = 4.
- Sale price: you pay (100 − discount)%. For 25% off, multiply by 0.75. For 30% off, multiply by 0.70.
- Percent change = (new − old) ÷ OLD. 40→50 is +25%, but 50→40 is −20%.
- Successive changes multiply; they do not add. +20% then −20%: 1.2 × 0.8 = 0.96, a 4% net loss. 10% off then 20% off: 0.9 × 0.8 = 0.72, which is 28% off, not 30%.
- Work backward from a sale price by dividing by the fraction paid. $36 after 25% off: 36 ÷ 0.75 = $48 (not 36 + 9 = $45).
| Percent | Method | Of 240 |
|---|---|---|
| 1% | Move decimal 2 left | 2.4 |
| 5% | Half of 10% | 12 |
| 10% | Move decimal 1 left | 24 |
| 12.5% | ÷ 8 (halve 3 times) | 30 |
| 15% | 10% + 5% | 36 |
| 20% | 10% × 2, or ÷ 5 | 48 |
| 25% | ÷ 4 (halve twice) | 60 |
| 33⅓% | ÷ 3 | 80 |
The full Wonderlic High-Yield Cram Sheet comes with full prep.
Common quantitative and math reasoning traps
- Percent change divided by the NEW value instead of the original.
- Adding successive percents (+20% −20% ≠ 0; 10% + 20% off ≠ 30% off).
- Reversing a discount by adding the percent back to the sale price instead of dividing.
- Averaging two speeds for a round trip instead of using total distance ÷ total time.
- Combined work answer that is larger than the faster worker's solo time.
- Proportion solved by adding the difference instead of scaling.
- Reading 2.4 hours as 2 h 40 min.
- Adding fraction tops and bottoms (1/4 + 1/6 written as 2/10).
Free Wonderlic quantitative and math reasoning practice questions
Question 1
What is 1/2 + 2/3?
- A7/6
- B1/2
- C3/5
- D1/3
Show answer and explanation
Answer: A. Common denominator 6: 3/6 + 4/6 = 7/6.
Why not B: This multiplies the bottoms but forgets to rescale the tops.
Why not C: This adds the tops and the bottoms; fractions need a common denominator first.
Why not D: That is the product (1/2 x 2/3), not the sum.
Remember: Use the smallest common denominator (6): 1/2 = 3/6 and 2/3 = 4/6, so 3 + 4 = 7, over 6.
Question 2
A coffee maker normally costs $240. It is on sale for 40% off. What does it cost now?
- A$96
- B$336
- C$200
- D$144
Show answer and explanation
Answer: D. 40% of $240 is $96, and $240 - $96 = $144.
Why not A: That is the discount itself, not the price you pay.
Why not B: This adds the discount instead of subtracting it.
Why not C: This subtracts 40 dollars instead of 40%.
Remember: Find the 40% first: 40% = 10% x 4: 24 x 4 = 96. Then subtract it from $240.
Question 3
Ben is 2 times as old as a nephew who is 11. How old will Ben be in 7 years?
- A18
- B22
- C36
- D29
Show answer and explanation
Answer: D. Ben is 2 x 11 = 22 now, so 29 in 7 years.
Why not A: That is the nephew's age in 7 years.
Why not B: That is Ben's age now, not in 7 years.
Why not C: This multiplies the nephew's future age by 2; the "2 times" is true only now.
Remember: Find today's age first (2 x 11), then add the years. "Times as old" applies only to the moment stated.
Question 4
What is 3/8 + 1/3?
- A4/11
- B1/6
- C1/8
- D17/24
Show answer and explanation
Answer: D. Common denominator 24: 9/24 + 8/24 = 17/24.
Why not A: This adds the tops and the bottoms; fractions need a common denominator first.
Why not B: This multiplies the bottoms but forgets to rescale the tops.
Why not C: That is the product (3/8 x 1/3), not the sum.
Remember: Use the smallest common denominator (24): 3/8 = 9/24 and 1/3 = 8/24, so 9 + 8 = 17, over 24.
Question 5
Find 150% of 200.
- A300
- B100
- C3,000
- D20
Show answer and explanation
Answer: A. 150% of 200 = 200 x 1.5 = 300.
Why not B: This is only the extra 50%; 150% includes the whole number too.
Why not C: Decimal slip: this is ten times too big (1,500% of 200).
Why not D: This is only 10% of 200.
Remember: 150% = the number plus half: 200 + 100 = 300.
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