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Full-Length Numerical Test with Scores and Answers

Ready for a challenge? Our full-length free numerical reasoning test includes 12 questions and has a 30-minute time limit, providing conditions similar to those you can expect on the real numerical ability test. Once you have completed the numerical reasoning sample questions, you will receive a printable score report letting you know how many questions you answered correctly and incorrectly. You also have the opportunity to go back to questions you may have missed for review. 

Download our free, full-length numerical test PDFs: 

Numerical tests – questions + answers

Numerical tests – questions only

Numerical Reasoning Test Tips

Watch the video below to receive helpful tips about numerical reasoning tests.

Numerical Reasoning Sample Questions And Answers

Get a glimpse of some of our free numerical reasoning questions:

Practice Numerical Reasoning Test Sample 1


For approximately what proportion of the total global hectare for all countries combined is Japan responsible?

A. 15%

B. 17% - Correct

C. 19%

D. 21%

E. 23%


The correct answer is (B).

This question is not just about adding up all the ecological footprint values and then dividing that of Japan by the calculated sum. You must take into consideration the population of each country:

Gha = Ecological Footprint x Population

South Africa: 50x2.5 = 125
France: 60x5 = 300
Romania: 25x2.5 = 62.5
Germany: 75x3 = 225
Japan: 125x5 = 625
USA: 300x8 = 2400

Total gha: 125+300+62.5+225+625+2400 = 3737.5.
Japan: 625

Japan’s ratio: 625/3737.5 = 0.167
The correct answer is approximately 17%.

Practice Numerical Reasoning Test Example 2

Four people, all working at the same rate, can mow a lawn in 2.4 hours. How many more people, working at the same rate as the first four, must be added in order to mow three lawns in 3.6 hours?

A. 4

B. 5

C. 6

D. 7

E. 8


The correct answer is (A).

This is a unique type of work-rate question, which can be referred to as 'workers questions'. In these questions, there are several workers with an identical work-rate, and the trick is to replace the work-rate with the number of workers. The formula in this case would be: Number of Workers * Time = Work.

It is advised to solve these questions using a ratio-table representing work, time and the number of workers. This table lets you investigate the effect of a given factor on the others.



The relationship between Number of Workers and Work is direct. Thus, if you multiplied Work by 3, you would need to multiply Number of Workers by 3 as well.

The relationship between Number of Workers and Time is inversed. Therefore, if you multiplied Time by 32 (2.4-->3.6), you would need to multiply Number of Workers by the inversed value 23.

The number of workers should thus be multiplied by 3*23 = 2. Therefore, in order to mow three lawns in 3.6 hours, there should be 4*2 = 8 people working.  

However, the question is asking how many MORE people must be added, so the correct answer is 8 − 4 = 4.

Practice Numerical Reasoning Test Example 3

Choose the correct answer.

0.18   |   0.36   |   0.72   |   ?   |   2.88

A. 0.9

B. 1.26

C. 1.44

D. 1.62


The correct answer is (C).


Each term is double the previous term. 

Practice Numerical Reasoning Test Sample 4


The solution to the above numerical reasoning question can be split to two different methods. The first method which is the longer method is as follows:

Find the population of unemployed people in Spain and in France using the information from the numerical test question:

    1. Spain: 46,000,000 * 0.16 = 7,360,000
    2. France: 65,000,000 * 0.08 = 5,200,000
    3. Find the difference: 7,360,000 - 5,200,000 = 2,160,000

Since we are asked to find the unemployed population of Spain relatively to that of France, we need to divide the difference between the two countries by the unemployed population of France: 2,160,000/5,200,000=0.415=41.5%

We recommend a quicker route for answering this free numerical reasoning question that saves a step:

  1. Measure Spanish unemployed with respect to French: (Spain's unemployed) / (France's unemployed)-1
  2. Therefore: (46,000,000*0.16)/(65,000,000*0.08)-1= 0.415 = 41.5%

Numerical Reasoning Test Sample 5


The answer to the above free numerical reasoning question is very simple, all that is required is a simple equation for account for the difference in value and convert it into a percentage. If you have found this question challenging it is highly recommended to start practising immediately as it's considered one of the simplest to numerical test question.

  1. (85/77) – 1 = 0.1038=10.38%
  2. Or (85-77)/77 = 0.1038=10.38%~10.4%

Numerical Reasoning Test Questions and Answers

Practising is the best way to prepare for any test. This is especially true for numerical reasoning tests where concepts you haven’t used or even seen in years are bound to come up. Numerical reasoning or maths questions are easy to find, but getting the answers to check your work and see where you need improvement is key! Our practice packs include answers and explanations to make sure you are fully prepared for test day. Seeing the questions in the right format can make all difference in your test performance. Additionally, having a numerical reasoning test with answers and answer explanations will help candidates see how to properly solve common mathematical test questions, which will increase confidence, speed and answer accuracy. The explanations provide the logical steps to solving the question. Furthermore, since the online reasoning test requires systematic solving of mathematical aptitude questions preparation and question explanation is key to understanding the fundamental elements of numerical reasoning problem solving. Explore our numerical test examples to familiarise yourself with the question structure as well as on how to submit your answers. Make sure test day holds no surprises.

How to Prepare for Numerical Reasoning Tests

Once you have given the free tests a go, have a look at our numerical reasoning preparation packages. Browse our online numerical reasoning products to find the right resources for you.

Looking for more? Whether you want to improve your numeracy ability, prepare for a job assessment test from one of the big test providers, or tackle advanced numerical reasoning tests, JobTestPrep has the right practice for you. Many of the largest employers use numerical reasoning tests provided by assessment companies like CEB’s SHL, Kenexa, Cubiks, cut-e and Pearson.

Our tailored packs help you adjust to the time limits and question styles of these major assessors and many more.Many professions, like banking and healthcare, use similar tests to evaluate their job applicants. Our drug calculations test and financial reasoning pack provide you the resources you need to be fully prepared.

For those looking for higher level tests, such as advanced numerical reasoning and numerical critical reasoning, take note that these are some of the most difficult assessments out there. Instead of worrying and wondering, get the scoop on these tests and some practice under your belt to be ready to go when your test day comes.

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