What is a numerical reasoning test?
A numerical reasoning test asks you to interpret quantitative information and draw a justified conclusion. Questions may use charts, tables, percentages, ratios or rates. Begin with what the question asks, then choose the relevant figures and the operation. The following examples are original practice, with answers you can check after attempting them.
Question 1: percentage change
A team’s revenue rises from £45 million in Q3 to £54 million in Q4. By what percentage did Q4 exceed Q3?
Options: A: 9% · B: 15% · C: 20% · D: 25%
Answer and explanation
C: 20%. The increase is 54 − 45 = 9. Divide by the starting value: 9 ÷ 45 × 100 = 20%. The £ million unit cancels because both values use it. Dividing by 54 would answer a different question.
Question 2: a ratio
A shortlist contains 96 applicants split between two groups in the ratio 3:5. How many are in the larger group?
Options: A: 36 · B: 48 · C: 60 · D: 72
Answer and explanation
C: 60. There are 3 + 5 = 8 equal parts. Each part contains 96 ÷ 8 = 12 applicants. The larger group has five parts, so 5 × 12 = 60. Check: the other group has 36 and 36 + 60 = 96.
Question 3: compare rates, not totals
| Office | Applications received | Applications completed |
|---|---|---|
| North | 240 | 180 |
| South | 320 | 224 |
Which office has the higher completion rate?
Answer and explanation
North. North completes 180 ÷ 240 = 75%; South completes 224 ÷ 320 = 70%. South completes more applications, but North completes a greater share. The question asks for a rate, so the denominators matter.
A method to take into a timed question
- Identify the requested quantity: difference, percentage, ratio or rate.
- Check units, periods and the correct base.
- Estimate the size of the answer.
- Calculate and compare with your estimate.
Calculator rules differ. Korn Ferry’s guidance lists a calculator for Elements Numerical; Criteria states that calculators are not allowed on the CCAT. Rehearse under the rules of your assigned assessment.
Review whether an error came from selecting data or doing arithmetic. For a broader routine, read the aptitude test preparation guide.
Try the interactive reasoning samples, then browse timed aptitude practice. The examples here are original learning exercises. Your employer’s invitation controls the live format and rules.