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Numerical reasoning employment tests measure how well you work with numbers, tables, charts, and short quantitative problems under time pressure. They are a skill family used inside many publisher batteries, not one universal exam with a single question count, time limit, or pass mark.
You may meet numerical reasoning inside SHL-style data interpretation sets, Aon or Saville batteries, Criteria or Wonderlic mixed cognitive screens, or other employer-configured assessments. Always confirm the named product, calculator rule, and timing on your invitation. This page sits under the Cognitive Aptitude Tests hub.
The practice questions later on this page are original numerical-reasoning study items. They are not official publisher questions and do not reproduce a proprietary form.
Key Takeaway
Numerical reasoning formats vary by provider. Treat percentages, ratios, tables, and rates as common possibilities, not mandatory modules on every test.
What Numerical Reasoning Usually Involves
Publishers often sample from skills such as percentages, ratios, proportions, averages, rates, basic arithmetic, number series, and data interpretation from tables or charts. Some batteries emphasize business calculations. Others emphasize pure reasoning with limited calculation.
This page is not a verbal reasoning guide, not an abstract reasoning guide, and not a named product page such as CCAT or Wonderlic.
What Varies by Provider
| Feature | What to verify |
|---|---|
| Length and timing | No universal question count or minutes-per-item rule |
| Calculator policy | Allowed, restricted, or forbidden depending on the assessment |
| Item styles | Tables, charts, word problems, series, or mixed formats |
| Scoring | Raw counts, scaled scores, or percentiles depending on the publisher report |
| Negative marking | Not universal; follow live instructions |
Do not memorize one commercial prep site’s timing as if every employer used the same numerical module.
Calculator Discipline
Some assessments ban calculators. Others allow on-screen tools or basic calculators. Scratch paper availability also varies, especially in remote proctoring. Confirm the rule in your candidate instructions before you practice with or without a calculator.
Scoring Caution
A practice percentage is not an official publisher percentile. Employers set cutoffs or comparison rules for their process. There is no single public universal numerical-reasoning pass score.
Optional Third-Party Practice
After you know which assessment family your invitation names, broader numerical drills can help with transferable calculation and data-reading speed. Compare coverage with official instructions before purchasing. Free samples on commercial sites do not always mean the full product is free.
JobTestPrep numerical reasoning practice is a third-party option for broad employment-style numerical drills. It is not an official publisher simulation and does not guarantee an employer outcome.
Free Numerical Reasoning Practice Questions
Answer each question before reading the explanation.
Question 1: Percentage of a Number
What is 25% of 160?
- A. 30
- B. 35
- C. 40
- D. 45
Answer and Explanation
Correct answer: C. 40
25% is the same as one quarter.
160 ÷ 4 = 40
So 25% of 160 is 40.
Question 2: Discount
A product costs $80 after a 20% discount. What was the original price?
- A. $90
- B. $96
- C. $100
- D. $120
Answer and Explanation
Correct answer: C. $100
A 20% discount means the customer paid 80% of the original price.
80 = 0.80 × original price
80 ÷ 0.80 = 100
The original price was $100.
Question 3: Percentage Increase
A department had 60 employees. The number increased by 25%. How many employees are there now?
- A. 70
- B. 72
- C. 75
- D. 80
Answer and Explanation
Correct answer: C. 75
25% of 60 is:
60 ÷ 4 = 15
Add the increase:
60 + 15 = 75
There are now 75 employees.
Question 4: Rate
A team completes 72 reports in 9 hours. At the same rate, how many reports can the team complete in 5 hours?
- A. 35
- B. 40
- C. 45
- D. 50
Answer and Explanation
Correct answer: B. 40
First find the hourly rate:
72 ÷ 9 = 8 reports per hour
Then multiply by 5 hours:
8 × 5 = 40
The team can complete 40 reports.
Question 5: Average
The scores of four candidates are 18, 22, 24 and 28. What is the average score?
- A. 21
- B. 22
- C. 23
- D. 24
Answer and Explanation
Correct answer: C. 23
Add the scores:
18 + 22 + 24 + 28 = 92
Divide by 4:
92 ÷ 4 = 23
The average score is 23.
Question 6: Ratio
A team has 3 analysts for every 2 managers. If the team has 20 people total, how many are analysts?
- A. 8
- B. 10
- C. 12
- D. 15
Answer and Explanation
Correct answer: C. 12
The ratio is:
3 analysts : 2 managers
Total ratio parts:
3 + 2 = 5
Each part is:
20 ÷ 5 = 4
Analysts:
3 × 4 = 12
There are 12 analysts.
Question 7: Fraction
What is 3/5 of 200?
- A. 80
- B. 100
- C. 120
- D. 150
Answer and Explanation
Correct answer: C. 120
Calculate:
200 ÷ 5 = 40
40 × 3 = 120
So 3/5 of 200 is 120.
Question 8: Number Series
Find the next number:
4, 8, 16, 32, ?
- A. 40
- B. 48
- C. 60
- D. 64
Answer and Explanation
Correct answer: D. 64
Each number doubles:
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
32 × 2 = 64
The next number is 64.
Question 9: Increasing Difference
Find the next number:
5, 9, 17, 33, ?
- A. 49
- B. 57
- C. 65
- D. 71
Answer and Explanation
Correct answer: C. 65
The differences double:
5 to 9 = +4
9 to 17 = +8
17 to 33 = +16
33 to 65 = +32
The next number is 65.
Question 10: Word Problem
A machine produces 210 parts in 7 hours. How many parts does it produce per hour?
- A. 25
- B. 28
- C. 30
- D. 35
Answer and Explanation
Correct answer: C. 30
Use the rate formula:
rate = total ÷ time
210 ÷ 7 = 30
The machine produces 30 parts per hour.
Question 11: Table Interpretation
A store sold the following units:
Monday: 120
Tuesday: 150
Wednesday: 180
Thursday: 150
What was the average number of units sold per day?
- A. 140
- B. 145
- C. 150
- D. 155
Answer and Explanation
Correct answer: C. 150
Add the units:
120 + 150 + 180 + 150 = 600
Divide by 4 days:
600 ÷ 4 = 150
The average is 150 units per day.
Question 12: Chart-Style Comparison
Product A increased from 200 sales to 250 sales. What was the percentage increase?
- A. 20%
- B. 25%
- C. 30%
- D. 50%
Answer and Explanation
Correct answer: B. 25%
Find the difference:
250 - 200 = 50
Divide by the original value:
50 ÷ 200 = 0.25
Convert to percentage:
0.25 × 100 = 25%
The percentage increase is 25%.
Numerical Reasoning Answer Key
| Question | Skill Tested | Correct Answer |
|---|---|---|
| 1 | Percentage | C |
| 2 | Discount | C |
| 3 | Percentage increase | C |
| 4 | Rate | B |
| 5 | Average | C |
| 6 | Ratio | C |
| 7 | Fraction | C |
| 8 | Number series | D |
| 9 | Increasing difference | C |
| 10 | Word problem | C |
| 11 | Table interpretation | C |
| 12 | Percentage increase | B |
How to Practice Numerical Reasoning Well
Identify whether errors come from arithmetic, misreading a table, unit mistakes, or pace. Estimate before calculating when the format allows it. Rebuild weak topics with short mixed sets rather than only untimed textbook drills.
For ranked-response or work-style sections, assessment test preparation may also be useful when you need extra drills under time pressure.
FAQ
Is there one standard numerical reasoning test?
No. Numerical reasoning is a skill measured inside many different employment assessments. Confirm the named product on your invitation.
Are calculators always banned?
No. Calculator policies vary by publisher and assessment. Follow the live instructions.
Does a high practice score mean I will pass?
No. Practice scores are study tracking only. Official scoring and employer decisions use the live assessment rules.