Basic Numeracy Tests

    • 15 tests |
    • 300 questions

Basic numeracy tests check the everyday maths most jobs rely on: addition, subtraction, multiplication, division, fractions, decimals, percentages, rounding and averages. They are set for operational, customer service, administration, help desk and commercial roles, usually to a time limit and often without a calculator. Practise below with worked answers for every question.

What is a basic numeracy test?

A basic numeracy test measures how confidently you handle everyday arithmetic without a calculator. Employers use it to check the core maths a role relies on before interview. You work through addition, subtraction, multiplication, division, percentages and simple fractions, then choose the correct answer from the options given. Accuracy under a little time pressure is what it rewards.

Basic numeracy test at a glance
Questions 10
Typical time limit 10 minutes
Format Multiple choice, four options per question
Skills tested Addition, subtraction, multiplication, division, percentages, fractions
Used by Apprenticeships, retail, administration, healthcare and trade employers

The test below is a full-length example with worked solutions for every question. It is free, and there is no sign-up.

Free Basic Numeracy Test

Download this test as a PDF Same 10 questions and worked solutions, printable. No sign-up.

Question 1 of 10
01 / 10 Percentages Easy

Of 480 survey responses received, 35% were positive. How many responses were positive?

Show worked solution

To find 35% of a number, multiply by 0.35: 480 × 0.35 = 168 positive responses. Working out the 65% that were not positive instead gives 480 × 0.65 = 312, which answers the opposite of the question. Reading the “35%” as a plain count of 35 ignores the 480 responses it is a share of. Using 3.5% by mistake (0.035 × 480) gives 16.8, which slips the decimal point one place and shrinks the answer tenfold.

Question 2 of 10
02 / 10 Fractions Easy

A fuel tank is filled to three-eighths of its 2,400-litre capacity. How many litres of fuel are in the tank?

Show worked solution

Three-eighths means three parts out of eight. One eighth is 2,400 ÷ 8 = 300 litres, so three eighths is 3 × 300 = 900 litres. Stopping at one eighth gives 300 and forgets to multiply by the three parts asked for. The other five eighths, the empty space, is 5 × 300 = 1,500 litres, which measures what is missing rather than what is present. Dividing by the fraction instead of multiplying, 2,400 × 8 ÷ 3, gives 6,400, but taking a fraction of an amount always makes it smaller, not larger.

Question 3 of 10
03 / 10 Ratios Easy

A 72 kg batch of trail mix combines nuts, raisins and seeds in the ratio 3:4:2 by weight. How much does the heaviest ingredient weigh?

Show worked solution

Add the ratio parts: 3 + 4 + 2 = 9 parts in total. One part is 72 ÷ 9 = 8 kg. The heaviest ingredient is raisins at 4 parts, so 4 × 8 = 32 kg. Nuts are 3 parts, 3 × 8 = 24 kg, and seeds are 2 parts, 2 × 8 = 16 kg; these three figures sum back to 72 kg as a check. Answering 24 or 16 reads off the wrong ingredient, and answering 8 stops at the value of a single part instead of the four parts the heaviest ingredient is made of.

Question 4 of 10
04 / 10 Averages Easy

A museum recorded the following daily visitor numbers over five days. What was the mean number of visitors per day?

Daily visitor numbers at a museum, Monday to Friday
DayVisitors
Monday 320
Tuesday 450
Wednesday 380
Thursday 510
Friday 340
Show worked solution

The mean is the total divided by how many values there are. The total is 320 + 450 + 380 + 510 + 340 = 2,000 visitors across 5 days, so the mean is 2,000 ÷ 5 = 400 per day. Dividing by 4 instead of 5 gives 500, which loses one of the days. Picking 380 gives the middle value when the days are sorted, which is the median, not the mean. Averaging only the highest and lowest days, (510 + 320) ÷ 2, gives 415, but the mean has to take every day into account, not just the two extremes.

Question 5 of 10
05 / 10 Unit conversion Easy

A bottling line fills 250-millilitre bottles. How many litres of liquid are needed to fill 60 bottles?

Show worked solution

First find the total in millilitres: 250 × 60 = 15,000 ml. There are 1,000 millilitres in a litre, so divide by 1,000: 15,000 ÷ 1,000 = 15 litres. Leaving the answer as 15,000 forgets to convert millilitres into litres at all. Dividing by 100 gives 150 and treats a litre as 100 ml, and dividing by 10,000 gives 1.5, shifting the decimal one place too far. The conversion is always 1,000 millilitres to a litre.

Question 6 of 10
06 / 10 Percentages Easy

A subscription currently costs £40 per month. The price is increased by 15%. What is the new monthly price?

Show worked solution

A 15% increase adds 15% of £40 on top of the original. 15% of 40 is 40 × 0.15 = £6, so the new price is 40 + 6 = £46.00. Answering £6.00 gives only the size of the increase and forgets to add it to the original price. Adding £15 rather than 15% gives 40 + 15 = £55.00, confusing a percentage with a flat amount of money. Subtracting the increase instead of adding it gives 40 − 6 = £34.00, but a price rise makes the figure larger, not smaller.

Question 7 of 10
07 / 10 Multi-step calculation Medium

A warehouse receives 8 pallets, each holding 45 boxes. During the day 296 boxes are shipped out. How many boxes remain in the warehouse?

Show worked solution

First find how many boxes arrived: 8 pallets × 45 boxes = 360 boxes. Then subtract the 296 shipped out: 360 − 296 = 64 boxes remain. Answering 360 stops at the total received and forgets the boxes that left. Answering 296 gives the number shipped rather than the number left behind, which is the quantity the question asks for. Answering 24 comes from a multiplication slip: 8 × 40 = 320 while forgetting the 8 × 5 = 40, then 320 − 296 = 24; the full product is 8 × 45 = 360.

Question 8 of 10
08 / 10 Data interpretation Medium

What percentage of the monthly budget is spent on rent?

Monthly household budget of £2,000
CategoryAmount (£)
Rent 800
Food 400
Transport 300
Other 500
Total 2,000
Show worked solution

The rent share is the rent divided by the whole budget: 800 ÷ 2,000 = 0.40, which is 40%. Using the £500 “Other” row by mistake gives 500 ÷ 2,000 = 25%, the wrong row. Dividing rent by the £1,200 spent on everything except rent (2,000 − 800) gives 800 ÷ 1,200 = 66.7%, which uses the wrong base: the base must be the full budget, not the budget with rent removed. Reading 0.40 as 0.04 gives 4% and misplaces the decimal point by one place.

Question 9 of 10
09 / 10 Averages Medium

Four delivery drivers logged the parcels shown below in one day. What was the mean number of parcels per driver?

Parcels delivered per driver in one day
DriverParcels delivered
Driver A 84
Driver B 96
Driver C 72
Driver D 88
Show worked solution

Add the four figures: 84 + 96 + 72 + 88 = 340 parcels. Divide by the 4 drivers: 340 ÷ 4 = 85 parcels per driver. Answering 340 gives the total and forgets to divide. Answering 86 takes the median instead: sorted, the middle two are 84 and 88, and (84 + 88) ÷ 2 = 86, which is not the mean. Dividing by 3 rather than 4, 340 ÷ 3 = 113, counts one driver too few; there are four drivers to share the total between.

Question 10 of 10
10 / 10 Rates Medium

Five identical pumps can drain a reservoir in 6 hours. Working at the same rate, how long would 3 of the pumps take to drain the same reservoir?

Show worked solution

The whole job takes 5 pumps × 6 hours = 30 pump-hours of work. With only 3 pumps, the time is 30 ÷ 3 = 10 hours. Fewer pumps means more time, so the answer must be larger than 6. Answering 3.6 hours treats it as direct proportion, 6 × 3 ÷ 5, making the time fall when pumps are removed, which is backwards. Answering 18 hours multiplies the 6 hours by the 3 pumps, and answering 30 hours stops at the 30 pump-hours of total work without dividing it among the 3 pumps.

How to interpret your score

Typical benchmarks for a 10-question basic numeracy test
Score What it suggests
9 to 10 Comfortably above the bar for most graduate schemes
7 to 8 Around the typical pass mark. Worth practising for speed
5 to 6 Below most employer thresholds. Focus on method before speed
4 or fewer Work through the worked solutions above before retrying

Employers set their own thresholds and many sift on the top percentage of applicants rather than a fixed mark, so treat these as a guide.

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Basic Numeracy Tests Tips

1Comprehend the questions carefully

If you practice some psychometric skill tests, you will see that it is so natural to do a mistake if you don’t read the query appropriately. This incorporates not perceiving the units, not seeing the applicability of a diagram or table (for example dates), and making presumptions about suggested meaning. It is worth re-reading the query after you have answered it to check you have comprehended it.

2Use rough paper

In most psychometric skill tests, you will be permitted to use rough paper for your working. This will cut down mistakes and spare you time if you need to return to a mid-point while doing a calculation. The degree to which you write your working clearly must be balanced with taking excessively long on each query; you will discover the amount of time you need when practicing some tests for yourself.

3Bring your own calculator

If you are taking your assessment in an examination centre, the staff will tell you to use the calculator provided to you, but carry your own with you. You will be comfortable using your own knowledge of the buttons, empowering you to spare a couple of crucial seconds over other competitors. In any case, if your psychometric test is on the web, clearly you can use your own calculator.

4Stick to the time provided

Try not to get stuck on one question. Work out generally how much time you have per question before you begin each test and attempt to adhere to those timings. In any case, it feels difficult, proceed onwards anyway – recall the easiest queries might be to come.

5Practice in exam conditions

When you practice for your assessment, try to do so in the same conditions in which you will be sitting your real basic numeracy test. Try a quiet surrounding with a minimal distraction at a table. This will not only keep you more focused but also make silence less daunting while sitting your real assessment.

6Learn the basics

Numerical skill tests depend on fundamental mathematical ideas that can easily be explored and remembered. This incorporates the four basic operations of addition, subtraction, multiplication and division, whereupon further concepts might be connected, including percentages and fractions.

7Be competitive

Try to measure your achievements against other users to make sure you stand out in a crowd. The average results might help you to pass to next stage, but might not be enough to bag you that job. Practice makes perfect, particularly with basic numeracy tests, which may require a high mark for you to stand out from the crowd.

8Be confident

Lastly, be positive whether you get the job or not; remember that giving such tests will increase your knowledge and experience. If you don’t get the job you applied for then don’t get upset maybe that job wasn’t suitable for you, have faith in yourself and apply for another one.

Basic Numeracy Video Tutorials

Graph Interpretation

2 mins

Currency Conversion

2 mins

Percentage Change

2 mins

Basic Numeracy Tests FAQs

Where will I take my basic numeracy test?

Usually online and unsupervised as an early sift, though some employers re-test shortlisted candidates at an assessment centre to confirm the result. Treat the online attempt as something you will need to be able to reproduce in person.

How long is a basic numeracy test?

It varies by employer, but most run to a fixed number of questions with a tight per-question allowance of roughly 45 seconds to two minutes. The overall test is often short, which is why pace matters. Your invitation email will state the length.

Is a basic numeracy test hard?

The maths is secondary school level, so the content is not hard, but the timing and the no-calculator rule make it feel harder than it looks. Most people who struggle do so on speed and mental arithmetic, both of which practice fixes quickly.

What score do I need to pass?

There is rarely a fixed pass mark. Many employers compare your score against other applicants and set the bar from there, so a strong result is one that beats the field rather than one that clears a set number. Aim to answer accurately and finish.

Can I retake a basic numeracy test?

Sometimes, but usually only if the employer invites you to, for example after a technical problem. Assume your first attempt is the one that counts and prepare so you do not need a second. If you are offered a retake, use practice tests first.

How many practice tests should I do?

Enough to stop being surprised by the format and to get comfortable working without a calculator, which for most people is several full tests rather than dozens. Once your score stops improving, switch to reviewing the questions you got wrong.

Reviews of our Basic Numeracy tests

What our customers say about our Basic Numeracy tests

  • South Africa

    March 05, 2024

    You must be able carefully read the questions

    What I liked about the test is that the questions are straightforward It is more easy to answer them.

  • United States of America

    September 17, 2023

    Great test

    I really did like this test. It asked a number of different things and I really like working with numbers.

  • Philippines

    June 13, 2023

    The reading skills can be helpful to solve this test faster.

    I like all of the parts of this test, actually. I did not spot any negative parts for me to point out. I really enjoyed this test. Thank you!

  • Uganda

    May 08, 2023

    Very helpful - good preparation for the aptitude test

    This resource is amazing it practically brings you to speed in understanding aptitude tests even if its your first time I am very impressed.

  • South Africa

    May 01, 2023

    Good initial basic numeracy test

    As a first test in basic numeracy, the test was good.

  • United Kingdom

    April 25, 2023

    Great Practice

    Great practical test for quick thinking and applying skills. Perfect if you need to realign and get your head back in the game.

  • Ghana

    April 15, 2023

    Mind work!

    I like the core competence of critical thinking and analysis embedded in the test. The test requires you to think well before answering which is a core component of any mathematics test.

  • Viet Nam

    March 21, 2023

    Read the questions carefully

    It's not hard at all but just take a closer look, you'll find a simple way to finish it in a timely manner

  • United States of America

    January 26, 2023

    refresher

    these are great refresher especially if have not done any type of thing like this for several years.

  • Pakistan

    December 27, 2022

    Great interface, clear understanding

    It had a great user interface and clear understanding of the question and the answers and what was expected