Numerical Reasoning Test — Complete Practice Guide

Conquer numerical reasoning tests. Question types, strategies, and proven techniques from 10,000+ candidates.

100+ practice questions Time strategy guide Used by 10,000+ candidates
Try it free

Free for 3 days · No card charged until trial ends · Cancel anytime

Quick answer

Numerical reasoning tests assess your ability to interpret data, work with percentages, calculate financial ratios, and answer business questions under time pressure. The test typically includes 20-30 questions covering: data interpretation (what does this chart show?), calculations (profit margin given revenue and costs), percentages (what is 15% of £800m?), and financial concepts (return on investment, growth rates). You'll have 20-30 minutes for the test, so roughly 1-2 minutes per question. Success requires: (1) familiarity with common question types so you recognise patterns quickly, (2) ability to work accurately without a calculator (firms provide one, but mental maths is faster), (3) time management (skip hard questions and return), and (4) mental discipline — one calculation error cascades through the rest of your answer. Most candidates fail numerical reasoning tests due to time pressure or calculation errors, not because they lack the underlying knowledge.

Free practice

Try it now

This example shows the types of data and questions you'll encounter in numerical reasoning tests.

Psychometric Tests

Choose your test

10 questions per test. Timed. Instant results with explanations. No signup required.

Numerical reasoning tests are practical — they assess real-world financial thinking. Start free trial →

What is numerical reasoning and why firms use it

Numerical reasoning tests assess your ability to work with numbers, interpret data, and answer business questions using quantitative analysis. Unlike pure maths tests, these tests have practical context: you're answering business questions, not solving equations. Example: "A company has revenue of £100m, costs of £70m, and 50 million shares outstanding. What is earnings per share?" You're not doing pure maths; you're solving a business problem.

Firms use numerical reasoning tests because they predict success in roles involving data analysis, financial thinking, or business decision-making. Investment banking roles require understanding financial statements. Consulting roles require analysing market data. Even law firms increasingly use numerical tests because understanding financial evidence matters in commercial cases.

The test typically includes: data interpretation (reading charts and tables), percentages and ratios, profit and loss calculations, and business scenario questions. You have 20-30 minutes for 20-30 questions. This time pressure is intentional — firms want to see how you work under pressure, not how carefully you can calculate given unlimited time.

Test format usually presents data visually (chart, table, or written scenario) then asks multiple-choice questions. Example: a chart showing monthly revenue for a company, then questions: "What was Q1 revenue?" "What percentage did revenue grow month-on-month in February?" "Project Q2 revenue assuming Q1 growth rate continues." Each question requires you to extract data, calculate, and choose the correct answer.

Question type 1: Data interpretation — reading charts and tables

Data interpretation questions ask you to extract information from charts (bar, line, pie), tables, or written data. The challenge is usually not calculation but reading the data correctly. Common mistakes: misreading axis labels, confusing different data series, or mixing up units (millions vs. billions).

Example: A bar chart shows sales by region (North, South, East, West) in millions. The North bar reaches 250, South 180, East 320, West 210. Question: "What is total company sales?" You add: 250 + 180 + 320 + 210 = 960m. A quick mental arithmetic. But if you misread one bar (e.g., confusing which bar is which region), your answer is wrong.

Strategy: before attempting questions, study the data carefully. Read axis labels, legend, and units. Ask yourself: what does this data show? If unsure, re-read. Mental maths is faster than using a calculator for simple additions and subtractions.

Common data interpretation traps: (1) Confusing absolute and relative (50% growth vs. growth to 150%), (2) Misreading cumulative vs. individual data, (3) Forgetting about units (if data is in thousands, all calculations must be in thousands). Read the data twice before attempting calculations.

Question type 2: Percentages and ratios — fundamental skills

Percentage questions are foundational. You must be able to calculate: X is what percentage of Y? If Y grows by X%, what's the new value? Ratio questions: if A:B = 3:2 and A = 60, what is B?

Percentage calculation: "Revenue grew from £100m to £120m. What was the growth percentage?" Growth = (120-100)/100 × 100% = 20%. This is fundamental. If you struggle with percentages, allocate 2-3 weeks to practice before taking the real test.

Reverse percentage: "After a 25% discount, price is £75. What was the original price?" Original × (1 - 0.25) = 75. Original × 0.75 = 75. Original = 100. Or: if price decreased by 25%, it's 75% of original. 75/0.75 = 100.

Ratio questions: "The ratio of profit to revenue is 2:5. If revenue is £200m, what is profit?" Profit/Revenue = 2/5. Profit/200 = 2/5. Profit = 200 × 2/5 = 80m. Ratios are just fractions with a different notation.

Practice percentage and ratio calculations until they're automatic. Most candidates know the concepts but make errors under time pressure. Fluency reduces errors.

Question type 3: Financial calculations — profit, margin, ROI

Financial questions assess understanding of profit and loss, margins, and returns. Key formulas: Profit = Revenue - Costs. Gross margin = (Revenue - COGS) / Revenue. Net margin = (Profit) / Revenue. Return on Investment (ROI) = (Profit) / Investment.

Example: Company has revenue £500m, cost of goods sold £300m, operating expenses £120m, debt costs £15m. What is net profit? Net profit = 500 - 300 - 120 - 15 = 65m. What is net margin? 65 / 500 = 13%.

Another example: Initial investment £10m. Year 1 profit £2m, Year 2 profit £2.5m, Year 3 profit £3m. Cumulative profit = £7.5m. ROI = 7.5 / 10 = 75%. But be careful: is ROI calculated on initial investment or average investment? The question should specify.

Financial calculation errors come from two sources: (1) misunderstanding the formula, (2) using wrong figures. Check you're using the right numbers before calculating. If revenue is "£500m" and costs are "£300,000", make sure you're not accidentally mixing scales.

Strategy: time management, skipping questions, and accuracy over speed

The numerical reasoning test requires brutal time management. You have roughly 60-90 seconds per question. Some questions take 30 seconds, others take 2 minutes. If you spend 3 minutes on one question, you've lost time on easier questions later.

Strategy: scan all questions first. Identify the quick, easy questions (pure data reading without calculation) and do those first. Then tackle medium-difficulty questions (one calculation). Save the hard questions (multi-step calculations) for last.

If you're stuck on a question after 90 seconds, skip. Mark it and return if you have time. A blank is 0 points. A wrong guess is still 0 points. But skipping gives you a chance to earn points elsewhere. Most candidates fail by wasting time on hard questions they could have skipped.

Accuracy is more important than speed. A correct answer to 20 questions is better than 23 incorrect answers. If you're making calculation errors, slow down slightly and double-check numbers before calculating.

Final 2-3 minutes: review your answers if you have time. Check that you answered the right question (not just calculated something related) and that your answer makes sense given the data.

Strategy

Numerical reasoning test tips

1

Practice mental arithmetic for 2-3 weeks before the real test. Mental maths is faster than a calculator for simple operations.

2

Know percentage and ratio calculations cold. These are foundational and appear in almost every test.

3

Read the question twice. Many errors come from answering the wrong question (e.g., calculating total revenue when asked to calculate growth rate).

4

Check your answer makes sense. If a company has £100m revenue and £200m profit, something is wrong. Impossible answers should trigger re-checking your work.

5

Time yourself in practice tests. You need to be both accurate and fast. Aim for 80%+ accuracy at speed, not 100% accuracy at slow pace.

6

Use the on-screen calculator provided, but don't over-rely on it. Mental maths is faster for simple calculations.

7

Skip hard questions and return. Don't get stuck. Mark and move on.

FAQ

Frequently asked questions

Practise numerical reasoning questions.

Build your speed and accuracy with timed practice questions and detailed solutions.

Start free trial

Free for 3 days · No card charged until trial ends · Cancel anytime