Free Numerical Reasoning Test Practice: Questions & Expert Answers
Unlock your potential with the best numerical aptitude tests used by the world's leading employers.
Evaluate your skill level with our free numerical reasoning test practice, featuring expert guidance and complete solutions to all critical test components.
- Numerical drills for calculation speed
- Number series for pattern recognition
- Word problems for practical application
- Tables and graphs for data interpretation
Our Numerical Reasoning PrepPack™ is designed to transform beginners into experts with targeted practice materials.
Free Numerical Reasoning Test: Boost Your Performance with Example Questions
Improve your score with free numerical reasoning practice questions, covering a variety of question types you'll encounter in top industry tests like SHL, CCAT, and more.
Below, we’ve provided several numerical reasoning test example questions for you to practice, along with complete solutions and tips to help you understand how to approach each problem effectively.
Numerical Drills: Fundamental Skills
This section covers the fundamental numerical reasoning skills and competencies that underlie success on any numerical test: mental arithmetic, basic operations, ratios, percentages, algebra, and more.
Choose the difficulty:
Algebra Sample Question
if
what is the value of y?
Answer
This numerical reasoning question has two important lessons: taking out the common factor and using the multiple-choice answers to your advantage.
To solve this problem, take out the common factor in the numerator and in the denominator in order to simplify the expression.
The result is:
You know that
thus
Multiply both sides by 2y and get 5=2y, which is reducible to y=2.5.
While this is a straightforward solution, taking a glance at the possible answers before solving can expedite the process even further. After taking out the common factor, a sharp eye could have noticed that the ratio between the numerator and the denominator is 2.5:y. This is easier to notice if you already know that 2.5 is one of the answers. Looking at the answers can be a helpful tool during numerical reasoning tests.
Geometry Sample Question
What is the area of a parallelogram with a base length of 8 cm and a height of 5 cm?
Number Series Questions
This section covers number sequencing problems. These numerical questions call on you to discover the pattern of a sequence of numbers and fill in the blanks.
Number Series Sample Question #1
Please choose one correct answer:
0.125 | 0.4 | 0.5 | 1.4 | 2 | 2.4 | ?
Answer
The odd terms (indicated in red) create an inner sequence that increases by x4 each step.
The correct answer is 8.
Number Series Sample Question #2
Please choose one correct answer:
1 | 3 | 11 | 67 | ?
Answer
The correct answer is 4, as is explained here:
Each term is arrived at using a number: 'a'. The formula is a + (a+1)a. The number 'a' starts at zero and increases by 1 with each step.
A formal presentation of this concept:
a + (a+1)a, (a+1) + (a+2)a+1, … (a+n) + (a+n+1)a+n
JobTestPrep's Numerical Reasoning Test Practice Centre
Use our guides to study for your numerical reasoning tests:
Word Problems
Numerical reasoning tests often feature word problems that require you to understand mathematical concepts in real-world scenarios.
Percentages Sample Question
Due to an increase in taxes on electronic devices, the price of a 46” LED flat TV screen has increased to £845, which is a 30% increase from the original price. What was the original price of the TV prior to the increase?
Answer
In this numerical reasoning test question, the whole (100%) is the original price and is therefore our x.
A good way to tackle percentage problems is by writing down the given information in a table with two columns: real values and percentages, while leaving space for the data you don't have:
Then, you can use the “triangle trick” in order to calculate the missing data: Multiply along the diagonal and then divide by the remaining number.
Applying this method to the question at hand:
In order to find the missing data, multiply the numbers connected by the diagonal (the hypotenuse) and then divide by the number located on the remaining vertex:
Another approach to this type of question requires an understanding of the relation between a given percentage and the proportion it represents (and vice versa). This relation is represented by the following formula:
(Total = the value of the 100%)
You can isolate the part you are interested in:
Total = (Value x 100) / %
And insert the data: Total = (845 x 100) / 130 = £650.
Travel Sample Question
Richard and Grace planned to meet at a restaurant. Since it was a lovely day outside they decided to walk there. Richard started at point A, located 820 meters away from point B, which is where Grace began her walk. If Richard walks 6 times faster than Grace, what is the ratio between the respective distances covered?
Answer
The correct answer is 6:1.
The image below shows a model of the question. This model is accurate because we are told that Richard and Grace walked in the same direction.
If we call the restaurant C, we are essentially being asked to find the ratio AC:BC. We know that Richard walks six times faster than Grace and that they arrive at the same time.
The relationship between time, distance, and speed (or velocity) can be described thusly:
This means that as long as t (time) stays the same, as is the case here, the proportionate sizes of d (distance) and v (velocity) will stay the same. If one were to increase, the other would have to increase as well. To put this in mathematical terms, speed and distance are directly proportional.
Therefore, the ratio of walking speed between Richard and Grace must be the same as the ratio of distance walked. Therefore, Richard walks six times the distance that Grace walked:
XRichard : XGrace = 6v*t : v*t = 6 : 1
Equations Sample Question
The owner of a liquor store offers a special deal on a certain wine, in which a pair of bottles are sold with a 30% discount on the second bottle. If the cost of one bottle for the owner is £2.5, and on selling 50 pairs with the aforementioned discount he made a £260 profit, what is the selling price of one bottle of wine on that sale?
Combinatorics Sample Question
Juliana is not certain which pizza to order. She can have the medium or large-size pizza, with thin or thick dough; replace the regular with hot or garlic sauce; add one topping if she'd like: mushrooms, onions, peppers or pepperoni.
How many different pizzas can Juliana order?
Answer
The correct answer is 60.
In order to solve this numerical reasoning test problem, you must figure out the correct number of choices in each category. We have 4 categories:
Size – medium or large = a choice between 2 options.
Dough – thin or thick = a choice between 2 options.
Sauce – regular, hot or garlic = a choice between 3 options.
Topping - mushrooms, onions, peppers, pepperoni or without = a choice between 5 options.
The overall number of combinations equals the product of the number of options within each category: 2x2x3x5 = 60.
Another way to view this sort of problem is to sketch a flow chart:
If you are looking for more numerical test tips, you can find them in our video on the subject:
Numerical Reasoning Test
Watch this video for Numerical Reasoning sample questions and tips!
Tables & Graphs
You will encounter several questions involving tables and graphs in your numerical reasoning test. These evaluate your ability to analyse and interpret data efficiently.
Tables Sample Question
What was the revenue generated from Chianti sales?
Graphs Sample Question
What proportion of both sites' April and May traffic was for Cuisine.net?
Answer
To calculate this, we add up the total page views of cuisine.net for April and May and divide this amount by the total hits of both sites for the same period.
Therefore, the calculation would be:
Congratulations!
If you made it this far, you have completed our free numerical reasoning practice test! How did you do?
Numerical reasoning tests are a complex field of testing and one that candidates often walk into not knowing what to expect or fearing that their full potential might not shine through to their prospective employers.
Practice is the key to gaining the confidence needed to stop relying on luck, and to be sure your full abilities are reflected in the test every time you take one.
JobTestPrep's Numerical PrepPack walks you through numerical drills, number series questions, word problems, and tables and graphs at a pace that lets you maximise your gain. It also includes access to video and PDF guides and tutorials with valuable tips and tricks.
Pass Your Numerical Reasoning Test with Confidence
The key to numerical reasoning success is practice!
Our Numerical Reasoning PrepPack™ offers extensive materials for all test components, from basic maths to advanced number series and word problems.
With our expert video preparation and step-by-step guidance, you'll build the skills and confidence needed to tackle any numerical reasoning test.
Check out our Free Aptitude, Abstract Reasoning, Verbal Reasoning, Spatial Reasoning, and Critical Thinking Tests.
FAQs
A typical numerical reasoning test lasts between 20-40 minutes, depending on the test provider.
A good score typically places you in the top 20-30% of all candidates. It’s crucial to understand the scoring system of the specific test you’re taking.
Practice is the best way to improve your skills. Our Numerical PrepPack™ helps with calculation speed, pattern recognition, and word problems.
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