Numerical Reasoning Examples
Numerical reasoning tests measure your ability to interpret data from tables and charts and perform calculations under time pressure. Here are the most common question types with worked examples and strategies for each.
What is numerical reasoning?
Numerical reasoning tests do not require advanced mathematics. They assess how accurately and quickly you can extract relevant numbers from a dataset — usually a table, bar chart or graph — and perform straightforward calculations such as percentage change, ratios or comparisons.
EPSO numerical reasoning tests include 10 questions with a 20-minute time limit — 2 minutes per question. Most questions are based on a single data table or chart that may be shared across 2-3 questions.
Common numerical reasoning question types
1. Percentage change
Given two values from a table, calculate the percentage increase or decrease from one period to another. This is the single most common calculation type in EPSO numerical tests.
Example: Sales went from €120,000 to €150,000. Percentage change = (150,000 − 120,000) ÷ 120,000 × 100 = 25%
2. Percentage of a total
Calculate what share a specific value represents of a larger total, or find a value that represents a given percentage of a total.
340 ÷ 1,700 × 100 = 20%
3. Ratio and proportion
Compare two quantities and express them as a ratio, or use a known ratio to find an unknown value. Common in questions about staffing, budgets and resource allocation.
480 ÷ 12 × 15 = 600 units
4. Data comparison
Compare values across rows or columns in a table to identify the highest, lowest, largest difference or closest match. These questions test reading accuracy as much as calculation.
5. Currency and unit conversion
Convert values between currencies, units or time periods using a conversion rate provided in the question or data table.
2,400,000 × 1.08 = $2,592,000
6. Average and weighted average
Calculate the mean of a set of values, or apply weights to different values to find a weighted average. Common in questions about scores, salaries or performance metrics.
(72 + 85 + 91) ÷ 3 = 248 ÷ 3 = 82.7
Worked example — reading from a table
Most EPSO numerical questions are based on a data table like this one. Practice reading the values carefully before attempting the calculations.
| Region | Q1 (€000) | Q2 (€000) | Q3 (€000) | Q4 (€000) |
|---|---|---|---|---|
| North | 240 | 265 | 290 | 310 |
| South | 180 | 195 | 210 | 225 |
| East | 120 | 140 | 155 | 170 |
| West | 95 | 100 | 115 | 130 |
How to improve your numerical reasoning score
- Read the table header first. Always check units before reading values. Confusing thousands with millions is the most common calculation error.
- Write down the formula before calculating. For percentage change questions, write (New − Old) ÷ Old × 100 before inserting values. This prevents formula errors under pressure.
- Use estimation to check answers. After calculating, check whether your answer is roughly the right size. A 25% increase on 120 should give a result close to 150 — not 1,500.
- Skip and return to hard questions. If a question requires multiple steps and you are running out of time, mark your best guess and move on. Return if time allows.
- Practice mental arithmetic daily. Being able to calculate percentages and ratios quickly without a calculator reduces your time per question significantly in the real test.
Frequently asked questions
How many questions are in an EPSO numerical reasoning test?
EPSO numerical reasoning tests typically include 10 questions with a 20-minute time limit — 2 minutes per question.
Is a calculator allowed in EPSO numerical tests?
In most EPSO online pre-selection tests, candidates can use an on-screen calculator. However, speed still matters — you should be able to perform basic calculations quickly without relying on a calculator for every step.
What level of maths is required?
No advanced mathematics is needed. Numerical reasoning tests require secondary school arithmetic — percentages, ratios, averages and basic multiplication and division. The difficulty comes from reading data accurately under time pressure, not from complex formulas.
Can you improve at numerical reasoning?
Yes. Numerical reasoning is one of the most trainable reasoning skills. Regular timed practice — especially reviewing wrong answers with explanations — leads to measurable improvement in both speed and accuracy within 2-4 weeks.
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