# Numerical Reasoning Tests: Questions & Answers

Pass YOUR tests at the first attempt!

## THE ROLE OF Numerical Reasoning Tests

Numerical reasoning tests are used to assess your ability with numerical information. They are used by employers in job assessments/selection processes worldwide, often in the context of everyday business senarios. Essentially, numerical reasoning tests are used to dertermine your ability to handle numbers swiftly and accurately.

Numerical reasoning tests normally assess your knowledge on:

• Addition, Subtraction, Multiplication, & Division;
• Percentages, Ratios & Fractions;
• Sequences;
• Data Interpretation;
• Financial Analysis;
• Conversion (such as currency or measurement).

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## What Are Numerical Reasoning Tests?

Numerical reasoning tests are designed to reveal how you (the candidate) react, interpret, and use numerical data. Problem-solving, critical thinking, and working under pressure are all assessed with a numerical test.

Who uses numerical reasoning tests?

Managerial, operational, and graduate roles often involve a numerical assessment in the recruitment process, as do industries such as investment banking, consultancy firms, hospitality, engineering, corporate organizations, educational, and public service jobs all commonly use numerical reasoning tests.

There is no standard numerical reasoning test format, some will focus on data interpretation, such as graphs and charts, while others will take a more basic approach and focus on addition, subtraction, multiplication, and division. Often a numerical reasoning assessment is combined with other aptitude tests such as verbal reasoning.

Numerical assessments allow an employer to test your:

• Data analysis skills
• Problem finding & solving
• Logical thinking
• Chart, table, and graph interpretation ability
• Financial knowledge
• Speed of problem-solving under pressure

Below is an explanation of the types of numerical reasoning test questions you will need to prepare for:

Question Types Explanation
Text/Word-based Questions These style of numerical reasoning questions usually take the form of a written sentence providing context and numerical data e.g. “Matthew used a £10 note to buy 5 pears at 63p each…”. They will also often include irrelevant data to test your ability to decide which data is relevant data to the question.
Graphs Common graphs include bar charts, line graphs, and pie charts. Questions will revolve around you interpreting numerical data from the graphs and answers subsequent questions such as “what percentage of user group X passed their tests in 2020?”
Sequences Number sequence questions are used in most numerical reasoning tests. You must identify a pattern in a numerical sequence and then fill in the missing numbers within that sequence.
Data Interpretation A combination of all the above question types, data interpretation tests are usually based around graphs, tables, and charts where you will need to identify sequences, interpret the data, and solve maths-based questions. These are frequently used in graduate and management-style assessments.

## Example Abstract Reasoning Tests

WORD-BASED QUESTION - SAMPLE NUMERICAL REASONING QUESTION

#### Numerical Reasoning

Rhys purchases a car for £8,448 and decides to pay for the car in 24 equal monthly installments. To do so, the dealership add 10% interest to the total price. How much will Rhys pay each month including the interest?

A. £316.80

B. £352

C. £387.20

D. £326.40

C. £387.80

Explanation = £8,448 × 1.1 = £9,292.80

£9,292.80 ÷ 24 months = £387.20 a month

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SEQUENCE QUESTION - SAMPLE NUMERICAL REASONING QUESTION

#### ABSTRACT REASONING

Complete the following sequence.

5, 17, 53, 161, ___

A. 395

B. 485

C. 425

D. 263

B. 485

Explanation = Multiply by 3 and add 2 each time.

161 × 3 = 483

483 + 2 = 485

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GRAPHS QUESTION - SAMPLE NUMERICAL REASONING QUESTION

#### Non-Verbal Reasoning

A survey asked 80 individuals what their favourite drink was. The results are below:

How many people said that their favourite drink was not coffee?

D. 68

Explanation = 80 = 100%

8 = 10%

4 = 5%

15% = 12

80 − 12 = 68

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DATA INTERPRETATION - SAMPLE NUMERICAL REASONING QUESTION

#### Spatial Reasoning

Which of the answer options is the correct net to make the cube?

Answer = A. Tip: when practicing these types of questions at home, print off the cube net and then fold it together, this will allow you to see the correct answer option. Once you have practiced this a few times you will be better at visualizing cube nets and faster at answers the questions.

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## 5 TIPS FOR PASSING NUMERICAL REASONING TESTS

TIP #1 – Practice really does improve your skills. More than any other aptitude assessment, numerical reasoning can be improved the most through practice. If you struggle with maths, take a step back and learn why something works the way it does. When you get comfortable at that level move on to slightly more complicated maths questions. You can always take a step back. Understanding the foundation of maths and the different question types are essential. That is why you should always practice questions that provide a full explanation to how the answer was reached.

TIP #2 – Numerical reasoning tests are designed to put you under pressure through strict timed conditions. On average you will get 45-60 seconds to answer a question. This is why you must master the basic numerical approaches to maths questions (addition, subtraction, multiplication, division) and be able to work out percentages, currency conversion, and get used to interpreting data. Most numerical reasoning tests are multiple-choice. This means if you practice and get a good understanding of basic maths, you can use estimation to choose the most logical answer if needed. This can be the difference in getting a few extra marks towards a pass!

TIP #3 – Learn your test provider and research the question types you will likely face. Some test providers will ask questions in a simple form, such as “Solve the following maths problem. 4² − 3² + 12 × 1.5 = ___” Whereas other test providers will ask the same question but buried in a block of text, giving the numbers context. Although the question ultimately remains the same, having more data to interpret can make word-based maths questions a lot harder for most people.

TIP #4 – Over prepare. There is a saying that “you can never be too prepared” and this is very true with numerical reasoning questions. If you know what style of maths questions you will face, prepare for harder style questions. This will make your actual test day feel a lot easier and take away some of the pressure. In addition, this will prepare you for any potential nasty surprises if the test is harder on the day – it is well known that sometimes test providers will send candidates preparation packs that are actually a lot easier than the actual test.

TIP #5 – Data interpretation questions are often the best question types to prepare with when you know you have a numerical reasoning assessment coming up. Why? Because Data Interpretation questions get you using a variety of maths calculations such as addition, subtraction, division, multiplication, percentages etc., and they also assess a wide variety of attributes such as detection of the question type, understanding data, deduction, and logical thinking.

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