Tips · Updated October 2026

Numerical Reasoning Tips: Where Marks Are Actually Lost

Most wrong answers in numerical tests come from small slips, not hard maths. Here is where the slips happen and how to stop them, with worked examples.

The short answer

Marks are usually lost on units, percentage direction and misread tables rather than on difficult arithmetic. Estimate first, read the question twice, and write down what the answer must look like before you calculate. Short, regular practice on timed sets beats a long cram.

Four places where marks disappear

Looking at the mistakes people make on practice sets, the same few patterns come up again and again. None of them need advanced maths to fix.

Wrong unit
The table is in thousands and the answer option is in millions. The calculation is right, the answer is not.
Wrong base for a percentage
A 20% fall followed by a 20% rise does not return you to the start. The base changes each time.
Wrong row or column
Two similar labels, such as "Net" and "Gross", sit next to each other and the eye picks the wrong one.
Running out of time
Spending three minutes on one hard item costs you the easy items that came after it.

Keep a small error log while you practise. After each timed set, write one line for every wrong answer saying which of these four it was. After two or three sets you will see which one is yours, and that is where to focus.

Estimate before you calculate

Rounding is the cheapest accuracy check you have. Round the numbers to something friendly, work out an approximate answer, and then compare it with the options. Often two or three options can be dismissed without any exact calculation.

What is 18.7% of 412?
  • 61
  • 77
  • 94
  • 108
Answer: 77
Round to 20% of 400, which is 80. Only 77 is close to 80, and the exact value is 77.04. Estimation alone would have got you there, and the exact working is only needed when two options are close together.

When the options are close, such as 76.9 and 77.1, estimation will not separate them and you need exact working. Spot that early by glancing at the spread of the options before you start.

Percentages: change, reverse and points

Three percentage ideas cover the majority of questions. Each has a clean method.

1
Percentage change
Change divided by the starting value. Revenue moving from 2.40m to 2.76m is a rise of 0.36m, and 0.36 divided by 2.40 is 15%.
2
Reverse percentage
Work back from the final figure. An item costs 64 after a 20% discount, so 64 is 80% of the original. Divide by 0.8 and the original price is 80.
3
Percentage points versus percent
A share moving from 18% to 24% has risen by 6 percentage points, which is a 33.3% increase in the share. Questions often use both phrases, so check which one is asked.

Every figure above was checked with a short script before it went on this page, and you should do the same with your own practice questions: re-do the arithmetic a second way, for example by multiplying back, before you trust an answer.

Reading tables without losing your place

A table can be read correctly and still produce a wrong answer if you answer a different question from the one asked. A routine helps.

  1. Read the question first, then look at the table. You then know which row and column matter.
  2. Read the title and units line. Note "thousands", "millions", "per cent", currency and year.
  3. Put a finger or cursor on the row and the column and move to the cell. Do not read across by eye.
  4. Say what the answer should look like: a percentage, a currency amount, a count. Compare that with each option.
  5. If a calculation uses two cells, note both values before you start so that you are not scrolling back and forth.

The same discipline applies to charts, which has its own page in this series: data interpretation tips.

Units, conversions and currency

Unit questions look easy and still catch people, because the slip is a single wrong step in a chain. Write the unit next to every number as you go, and cancel units the way you cancel fractions.

A table shows exports of 4,350 (in £000) and imports of £3.2 million. By how much do exports exceed imports?
  • £1.15 million
  • £1,150
  • £11.5 million
  • £0.115 million
Answer: £1.15 million
Convert first: 4,350 thousand is £4.35 million. Then 4.35 minus 3.2 gives 1.15 million. Option B would only be right if you forgot that the imports figure is in millions, and option C slips a decimal place.
An item costs £215. The exchange rate is quoted as €1 = £0.86. What is the price in euros?
  • €185
  • €250
  • €296
  • €2,500
Answer: €250
The rate says one euro costs £0.86, so divide the pound price by 0.86: 215 divided by 0.86 is 250. Multiplying by 0.86 gives about 185, which is the classic wrong-direction answer.

Pace: how to spend your time

Numerical tests normally give you an average of one to two minutes per question, though the exact limit depends on the test, so check the instructions in your invitation. The principle is the same everywhere. A question you cannot start within about twenty seconds is a candidate for skipping, if the test lets you move on, or for a quick estimate and educated guess if it does not.

When practising, time yourself honestly and finish sets even when you are stuck. Afterwards, redo the ones you missed untimed and look at the method, not just the answer. That second pass is where improvement comes from.

Use a calculator only if your test allows one. Many do, many do not, and the formats differ, so read numerical reasoning test formats to see what to expect.

How to practise this with ReasonEra

ReasonEra is a browser-based AI tutor for practice. If you have a numerical practice question from a free sample or your own study set, upload a screenshot, pick Quick Verify to check your answer, or Tutor Explanation to see the steps. It handles numerical questions as well as verbal, abstract and other reasoning types, across 50+ supported tests. A free account includes 3 free trials, and after that a 14-Day Pass costs 49 € for unlimited use.

For a timed set before you start, the free numerical reasoning practice test has 10 original questions with explanations.

Practise on ReasonEra

A note on fair use

Use ReasonEra to build the skill, but a real assessment usually comes with its own conditions on outside help, so ask the recruiter if anything is unclear.

Frequently Asked Questions

What is the most common mistake in numerical reasoning tests?

Unit and base errors are the most common, such as mixing thousands with millions or taking a percentage of the wrong number. Writing the unit beside each figure removes many of them.

Should I estimate or calculate exactly?

Estimate first and calculate exactly only when the options are close together. Estimation saves time and also catches decimal-place slips.

How do I improve at percentages quickly?

Drill three types: percentage change, reverse percentage and percentage points. Do ten of each, then check every answer by working it back the other way.

Are calculators allowed in numerical reasoning tests?

It depends on the test and employer, so check your invitation. Practise both with and without one if you are not sure.

How long should I practise each day?

Fifteen to thirty minutes of timed practice with a review of errors is usually more effective than one long session. Short and regular suits most people better.

Related guides

Practise the way the test is written

Try ReasonEra on questions in the style of the test you are preparing for. Your first three are free.

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Notes. The guide summarises widely published practice, and details differ between employers and publishers. If something here is out of date, email info@reasonera.com.