Numerical Reasoning for Graduate Jobs: How to Prepare
Almost every competitive graduate scheme in the UK and US includes a numerical reasoning test. If you have applied or plan to apply to employers like Deloitte, PwC, Unilever, P&G, or HSBC, you will face one. This guide covers what these tests look like, which providers major employers use, worked examples of real question types, and a step-by-step preparation plan that gets results.
Why Graduate Employers Rely on Numerical Reasoning Tests
Graduate recruiters receive thousands of applications for a limited number of positions. Numerical reasoning tests give them an objective, scalable way to identify candidates who can interpret data, draw conclusions, and make decisions under time pressure. These are core skills in nearly every graduate role, whether you are analyzing quarterly revenue at a Big Four firm, forecasting demand at an FMCG company, or assessing credit risk at a bank.
Deloitte, for example, uses numerical tests as part of its immersive online assessment. PwC includes a numerical reasoning section in its online test stage. Unilever integrates data-interpretation tasks into its digital assessment platform. P&G uses an online assessment that features calculation-heavy business scenarios. HSBC applies numerical tests during its early screening round for most graduate programs.
The test is almost always the first real filter. A strong score moves you to the next stage. A weak one ends your application, regardless of your degree classification or extracurriculars.
💡Numerical reasoning tests are not optional extras. They are gatekeepers. Preparing specifically for them is one of the highest-return investments you can make during your graduate job search.
What Graduate Numerical Reasoning Tests Look Like
Graduate numerical tests typically contain 15 to 25 questions and last between 17 and 30 minutes. That works out to roughly 60 to 90 seconds per question. Questions are almost always multiple choice.
Data is presented in tables, bar charts, line graphs, or pie charts. You read the data, interpret it, and answer a question that requires one or more calculations. Topics include:
- Percentages and percentage change -- the most common question type
- Ratios and proportions
- Averages (mean, median, mode)
- Data interpretation from tables and charts
- Currency conversions and unit conversions
- Profit, revenue, and cost calculations
- Rates and rates of change
You do not need advanced math. There is no calculus, no statistics beyond basic averages, and no algebra beyond simple rearrangement. The challenge is speed, accuracy, and the ability to extract the right numbers from a dataset before the clock runs out.
Some tests provide an on-screen calculator. Others do not. Always read the instructions before you begin so you are not caught off guard.
Which Test Providers Do Major Graduate Employers Use?
Different employers use different test providers, and each provider has its own format, difficulty level, and timing. Knowing which provider your target employer uses lets you practice the right test type.
| Employer | Test Provider | Format | Approximate Timing |
|---|---|---|---|
| Deloitte | SHL (Verify) | Interactive, data-heavy scenarios | ~25 questions in 25 min |
| PwC | SHL (Verify) | Tables and charts, multiple choice | ~18 questions in 25 min |
| Unilever | HireVue / Pymetrics (gamified) | Data-based games and scenarios | Varies |
| P&G | P&G proprietary (online assessment) | Business-scenario calculations | ~25 min total |
| HSBC | SHL (Verify) | Standard numerical reasoning | ~18 questions in 17 min |
| Goldman Sachs | HireVue with numerical component | Data interpretation, multiple choice | Varies |
| Aldi | SHL | Tables and charts | ~18 questions in 17 min |
| Teach First | Aon (cut-e) | Short, fast-paced items | ~12 min |
| Civil Service (UK) | Civil Service proprietary | Work-relevant data scenarios | ~25 min |
| Accenture | SHL (Verify) | Standard numerical reasoning | ~18 questions in 17 min |
SHL is by far the most common provider for graduate schemes. If you are applying broadly, prioritizing SHL-style practice will cover the majority of your applications.
💡Find out which test provider your target employer uses before you start practicing. Practicing with the correct format and timing gives you a significant advantage.
Worked Examples of Graduate-Level Numerical Questions
Below are three representative question types you will encounter on graduate numerical reasoning tests, with full worked solutions.
Example 1: Percentage Change
A company's revenue was $4.2 million in Q1 and $4.83 million in Q2. What was the percentage increase in revenue from Q1 to Q2?
Solution:
- Find the change: $4.83M - $4.2M = $0.63M
- Divide by the original: $0.63M / $4.2M = 0.15
- Convert to percentage: 0.15 x 100 = 15%
The answer is a 15% increase. Percentage change is calculated as (new - old) / old x 100. This formula appears in the majority of graduate numerical tests.
Example 2: Ratio and Proportion
A department has a budget split between marketing and operations in the ratio 3:5. The total budget is $120,000. If the marketing budget increases by 20% next year while the operations budget stays the same, what is the new total budget?
Solution:
- Total parts in the ratio: 3 + 5 = 8
- Marketing share: (3/8) x $120,000 = $45,000
- Operations share: (5/8) x $120,000 = $75,000
- New marketing budget: $45,000 x 1.20 = $54,000
- New total: $54,000 + $75,000 = $129,000
This question tests whether you can work through multiple steps without losing track. Many candidates rush and forget to add the operations budget back in.
Example 3: Data Interpretation from a Table
The table below shows quarterly sales (in thousands) for three regions:
| Region | Q1 | Q2 | Q3 | Q4 |
|---|---|---|---|---|
| North | 310 | 345 | 290 | 380 |
| South | 275 | 310 | 325 | 340 |
| West | 190 | 205 | 215 | 230 |
Which region had the highest percentage growth from Q1 to Q4?
Solution:
- North: (380 - 310) / 310 x 100 = 70/310 x 100 = 22.6%
- South: (340 - 275) / 275 x 100 = 65/275 x 100 = 23.6%
- West: (230 - 190) / 190 x 100 = 40/190 x 100 = 21.1%
The answer is South with 23.6% growth. This question requires you to calculate percentage change for each region and compare, not just look at the absolute numbers. North had the largest absolute increase ($70K vs $65K) but South had the higher percentage growth because it started from a lower base.
💡Read every question carefully. The largest absolute change is not always the largest percentage change. Graduate tests are designed to catch candidates who take shortcuts.
Core Skills You Need to Build
Graduate numerical reasoning tests assess a small set of math skills applied under time pressure. Focus your preparation on these areas:
Percentages. Percentage of a value, percentage change, percentage increase and decrease, reverse percentages. These appear in nearly every test. Practice until you can calculate them without hesitation.
Ratios and proportions. Splitting values by ratio, scaling ratios up or down, and solving for unknowns in a proportion. Common in business-scenario questions.
Averages. Mean, weighted mean, and occasionally median. Know how to calculate the mean from a frequency table or grouped data.
Data extraction. Reading the correct value from a table, chart, or graph. Sounds simple, but under time pressure candidates regularly misread axes, confuse columns, or pick the wrong row. Slow down for this step.
Multi-step reasoning. Most graduate-level questions require two or more calculation steps. The math at each step is basic, but stringing them together under time constraints is where errors creep in.
Unit awareness. Revenue in millions vs. thousands. Percentages vs. decimal points. Currency conversions. Many wrong answers on tests are designed to match common unit errors, so test-makers deliberately set traps here.
How to Prepare: A Step-by-Step Plan
A structured preparation plan makes your practice time far more effective than random question attempts. Follow these steps in order.
Step 1: Take a diagnostic test. Start with a timed practice test to establish your baseline. Note your score, your speed, and the question types you struggled with. You can take a free diagnostic at Assessment-Training.com's free tests page.
Step 2: Identify your weak areas. If you missed percentage-change questions, drill percentages. If you ran out of time, work on speed strategies. If you misread data from charts, practice data extraction. Targeted practice beats generic repetition.
Step 3: Practice untimed first, then add the clock. Begin with accuracy. Work through questions carefully, checking each step. Once you are getting 85%+ correct untimed, switch to timed practice. This builds confidence and prevents you from reinforcing bad habits at speed.
Step 4: Simulate real test conditions. Find a quiet space, close all other tabs, set a timer, and complete a full-length test without pausing. Do this at least three times before your real assessment. The numerical reasoning test practice on Assessment-Training.com offers full-length timed simulations.
Step 5: Review every mistake. After each practice test, go through every wrong answer. Identify whether the error was conceptual (you did not know how to solve it), procedural (you made a calculation mistake), or time-related (you rushed). Each error type requires a different fix.
Step 6: Practice 2-3 times per week. Consistency matters more than marathon sessions. Short, focused practice sessions of 30 to 45 minutes are more effective than cramming for four hours the night before.
💡Start your preparation at least two to three weeks before your test date. Candidates who practice consistently for two or more weeks score significantly higher than those who cram.
Common Mistakes and How to Avoid Them
Graduate candidates lose marks to the same small set of errors. Knowing them in advance helps you avoid them.
Misreading the question. The question asks for the difference, not the total. Or it asks for Q3, not Q4. Read the question twice before calculating. Underline the key word if it helps.
Using the wrong base for percentage change. Percentage increase uses the starting value as the base, not the ending value. This is the single most common error on numerical tests.
Ignoring units. If a table shows revenue in thousands, an answer of 45 means $45,000, not $45. Test-makers include both as answer options.
Spending too long on one question. You have roughly 60 to 90 seconds per question. If you have been working on one question for over two minutes, mark it and move on. You can return to it if time allows.
Not practicing with the right provider format. An SHL test feels different from a Korn Ferry test. If you only practiced with one format and your employer uses another, the unfamiliarity costs you time and confidence.
Beyond Numerical: Other Tests in Graduate Recruitment
Numerical reasoning is usually one part of a broader assessment package. Most graduate employers also test:
- Abstract reasoning -- pattern recognition and logical thinking. Many employers pair this with numerical reasoning. Practice with abstract reasoning tests.
- Verbal reasoning -- interpreting written passages and drawing conclusions.
- Situational judgment -- choosing the best response to workplace scenarios.
- Personality questionnaires -- assessing cultural fit and work style.
Preparing for numerical reasoning alone is not enough if your employer tests multiple aptitudes. The All Test Package on Assessment-Training.com covers numerical, abstract, verbal, and situational judgment tests in one bundle, which is a practical option if you are applying to multiple graduate schemes.
Frequently Asked Questions
Which graduate schemes use numerical reasoning tests?
Most graduate schemes in finance, consulting, retail, FMCG, and many other sectors include numerical or quantitative assessments. This includes Deloitte, PwC, HSBC, Unilever, P&G, Goldman Sachs, Aldi, Accenture, and the UK Civil Service, among many others. It is safer to assume you will face one than to assume you will not.
What score do I need to pass?
It varies by employer. Many use percentile-based cut-offs, meaning your score is compared to a norm group. Some employers set the bar at the top 50%, while more competitive programs may require the top 25% or 30%. Aim to practice until you consistently score well above the average in timed conditions.
Can I retake the test if I fail?
It depends on the employer. Some allow one retake after a waiting period (often six months to one year). Others do not allow retakes within the same recruitment cycle. A few employers let you retake immediately. Always check the specific recruitment policy before you test.
Are calculators allowed on graduate numerical tests?
Some employers allow on-screen calculators and some do not. SHL and Aon tests usually provide one, while Cubiks tests often do not. P&G's proprietary assessment does not typically allow a calculator. Always read the test instructions carefully before you begin.
How long does a typical graduate numerical reasoning test take?
Most tests last between 17 and 30 minutes and contain 15 to 25 questions. That gives you roughly 60 to 90 seconds per question. Some employers, such as those using Aon's cut-e, use shorter tests with faster pacing.
Do I need advanced math skills to pass?
No. Graduate numerical tests cover basic arithmetic, percentages, ratios, and data interpretation. You do not need calculus, trigonometry, or advanced statistics. The difficulty comes from time pressure, multi-step reasoning, and the ability to extract the correct data quickly from tables and charts.
Start Practicing Today
The difference between candidates who pass graduate numerical tests and those who do not usually comes down to preparation, not natural ability. Structured practice with realistic test formats is the most reliable way to improve your score.
Take the first step now:
- Try free practice tests to assess your current level at Assessment-Training.com's free tests page
- Practice full-length numerical tests with detailed explanations at Assessment-Training.com's numerical reasoning page
- Prepare for your full assessment with the All Test Package, which covers numerical, abstract, verbal, and situational judgment tests
The earlier you start, the more confident you will feel on test day. Two to three weeks of consistent, focused practice is enough for most candidates to see meaningful improvement.
💡Graduate numerical reasoning tests are learnable. The math is basic. The challenge is speed, accuracy, and familiarity with the format. Practice under realistic conditions and you will be well prepared.