Numerical Reasoning

Numerical Reasoning Tests: Complete Practice Guide (2026)

Numerical reasoning tests are used by employers and public sector organisations worldwide to assess how quickly and accurately candidates can interpret data, perform calculations and draw conclusions under time pressure.

What is a numerical reasoning test?

A numerical reasoning test measures your ability to work with numbers, data and statistics in a structured, timed setting. Unlike a basic maths test, numerical reasoning tests focus on your ability to interpret information — usually presented as tables, charts or graphs — and select the correct answer from multiple options.

These tests are widely used in graduate recruitment, civil service assessments, banking, consulting and EU institution competitions such as EPSO. The goal is not to test advanced mathematics but to assess how efficiently you can extract relevant figures, apply basic operations and avoid errors under pressure.

What skills do numerical reasoning tests measure?

Most numerical reasoning tests assess a combination of the following:

Data interpretation

Reading values from tables, bar charts, pie charts and line graphs accurately and quickly.

Percentages and ratios

Calculating percentage change, percentage of a total, ratios between values and proportional comparisons.

Arithmetic operations

Addition, subtraction, multiplication and division applied to real-world data scenarios.

Currency and unit conversions

Converting between currencies, units or time periods based on information provided in the question.

Estimation and approximation

Identifying the closest correct answer without performing full calculations when time is limited.

Where are numerical reasoning tests used?

Numerical reasoning tests appear in a wide range of selection processes across sectors and countries:

SectorTypical useExample
EU institutionsPre-selection stageEPSO AD / AST competitions
Banking and financeGraduate assessment centresGoldman Sachs, HSBC, JPMorgan
ConsultingOnline aptitude screeningMcKinsey, Deloitte, PwC
Civil serviceFast stream selectionUK Civil Service, national governments
TechnologyEarly-stage screeningLarge tech graduate programmes

Typical format and timing

Most numerical reasoning tests follow a similar structure regardless of the provider. You are given a data set — a table, chart or short scenario — followed by one or more multiple-choice questions based on that data.

Format elementTypical value
Number of questions10 – 30
Time per question60 – 120 seconds
Answer formatMultiple choice (4 – 6 options)
CalculatorUsually permitted (on-screen or physical)
DeliveryOnline, unsupervised or proctored

Example numerical reasoning question

Below is a simplified example of the type of question you may encounter. Real tests typically include more complex data tables with multiple rows and columns.

Sales data — Q1 2026
RegionJanFebMar
North€120,000€138,000€150,000
South€95,000€102,000€110,000
East€78,000€84,000€91,000

By what percentage did North region sales increase from January to March?

A — 20%
B — 25% ✓ Correct
C — 28%
D — 15%
E — 30%

Explanation: (150,000 − 120,000) ÷ 120,000 × 100 = 25%. Identify the starting and ending values, subtract, divide by the original and multiply by 100.

How to prepare for numerical reasoning tests

1. Practice with timed conditions

The most common reason candidates fail numerical reasoning tests is not a lack of mathematical ability — it is running out of time. Train under realistic time pressure from the beginning, not just before the actual test.

2. Focus on percentage calculations

Percentage change, percentage of a whole and reverse percentage questions appear in almost every numerical reasoning test. Make sure you can perform these quickly and accurately without a formula sheet.

3. Read the data before the question

Spend a few seconds understanding what the table or chart is showing before reading the question. Knowing the structure of the data helps you locate the relevant figures faster.

4. Eliminate unlikely answers

If you are short on time, use estimation to eliminate two or three options before calculating precisely. This improves your chances even when you cannot complete the full calculation.

5. Review every wrong answer

Understanding why you got a question wrong is more valuable than answering five more questions correctly. After every practice session, read the explanation for each incorrect answer before moving on.

Common mistakes to avoid

  • Spending more than 90 seconds on a single question.
  • Reading the question before understanding the data structure.
  • Confusing percentage change with percentage point change.
  • Forgetting to check whether values are in thousands or millions.
  • Skipping estimation and always trying to calculate exactly.
  • Practicing without a timer and misjudging real test speed.

Numerical reasoning in EPSO competitions

EPSO numerical reasoning tests are used in the pre-selection phase of EU administrator competitions. They typically include 10 questions to be completed in 20 minutes, with data presented in tables or simple charts. The pass mark varies by competition but is generally around 50–60% of correct answers.

EPSO tests do not allow outside calculators in some formats, so practising mental arithmetic alongside table reading is particularly important for EU institution candidates.

Related practice resources

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