I  Psychometric Test Preparation

# Numerical Reasoning Test

Increase your numerical reasoning test score with JobTestPrep's practice tests! Get all the information and professional advice you need with our articles and content pages below.
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New video tutorials to accompany the questions in our practice packs! Work through examples on select topics, including percentages, ratios, inflation, and more. Read more about it >>

## Our tests include success proven materials, used by satisfied customers for over 10 years. The basic pack contains 20 practice tests with more than 530 questions that fully cover any topic that appears in employers' numerical tests. With a wide range of difficulty levels, comprehensive explanations, solving tips, and normalised score reports, this is the web's most profound practice tool.All about Numerical Reasoning tests

Learn everything you need to know about numerical reasoning tests with our useful articles and practice resources:

 Free numerical reasoning test Purchase 20 numerical tests Advanced numerical reasoning Numerical critical reasoning

## What are Numerical Reasoning tests?

Numerical Reasoning tests, often called data interpretation tests or numerical critical reasoning tests, are the most common type of aptitude-psychometric tests candidates are likely to do in any assessment centre or recruitment process.

These tests are usually administered to candidates applying for managerial, supervisory, sales and professional positions, and for jobs that require workers to make decisions and inferences based on numerical data.  The most common types of numerical tests are:

• Numerical critical reasoning – measure the ability to interpret data presented in a text, graph or table form.
• Number series – measure the ability to figure out the logic behind numerical series.
• Basic arithmetic skills/numeracy tests – assess your numerical literacy skills.

### Numerical Aptitude Tests usually evaluate abilities as:

• Critical reasoning and general intelligence.
• Basic Arithmetic - the four basic operations, percentages, proportions, etc.
• Estimations.
• Graph and data analysis.
• Speed and concentration.

### Other popular characteristics of numerical tests:

• Multiple choice questions, four to six distracters, and a single correct answer.
• About 45 seconds to one minute per question
• In some cases, a permission to use a calculator.
• Free use of pen and paper.

Numerical Reasoning Test performance can definitely be improved through practice. Exposure to the type of tests used and their format as well as understanding the underlying principles of each test are the key to succeeding. Further, ongoing 'hands on' practice is guaranteed to increase your confidence and improve your ability.

## Numerical Reasoning test sample questions

Following are 9 numerical reasoning test questions, that reflect our high quality of materials. When you practice with the JobTestPrep system you receive a final normalized score. The test score is with comparison to other candidates.

1. Numerical Estimation

Which of the numbers below are closest to the correct answer?

8946 / 279 ~

A. 32     B. 61   C. 6.7   D. 4.5

2. Numerical Reasoning

Please choose one correct answer:

It takes 8000 medium size oranges to make 500 litres of orange juice. How many oranges does it take to make 1,279 litres of orange juice?

A. 79.9     B. 3127.4    C. 6254.8     D. 12509.6     E. 18.947    F. 20464

3. Numerical Critical Reasoning

The following diagram contains data collected in the UK during the years 1987 - 1996. Each dot in the diagram points the number of rainy days and the number of snowy days that year. For example, in 1990 there were 5 rainy days and 6 snowy days.
Note: the connecting lines have no meaning.

In answering each question ignore data given in other questions.

a) Which of the following years has twice as many rainy days than snowy days?

1) 95'   2) 92'   3) 93'   4) 94'

b) In which of the following years did a consistent increase in both the number of rainy and snowy days occur?

1) 87' - 89'    2) 93' - 95'   3) 89' - 91'    4) 90 - 92'

c) The total number of snowy days between 87' - 89' was 3 times larger than the number of rainy days in...

1) 88'   2) 90'   3) 94'   4) 95'

d) The "cold index" of a certain year is defined as the difference between the number of rainy and snowy days on that year. Which of the following years had the highest "cold index"?

1) 89'   2) 95'   3) 93'   4) 96'

4. Number Series

What is the next number in the following series? Please choose one correct answer:

1, 3, 6, 2, -1, ?

A. -1/3    B. 2    C. -3   D. 4

About test scores

A good score on the Numerical Reasoning test is 7 and above (out of a scale of 10). When you practice with JobTestPrep's online system you receive a final normalized score. The test score is with comparison to other candidates. You can test yourself in order to estimate your initial level.

## Numerical Reasoning Answers

1. 8946 is a large number and can be rounded up to 9000. 279 can be rounded to 300. 9000 / 300 = 30. The closest number to 30 is 32. The correct answer is 32

2. There are two ways of solving this problem. The first is by doing the actual calculation: 8000 (oranges) / 500 (litres of juice) = 16 oranges per litre 1279 (litres) × 16 = 20464 The second is using estimation, which may be quicker: 1279 litres is roughly 2.5 times the initial amount of 500 litres. Therefore, the amount of oranges required to produce 1279 litres is 2.5 times the initial number of oranges = 8000 x 2.5 = 20000. The answer is 20,464

3. Note that there is no need to check all the years from 87' through 96' but only those that appear in the answers:

• Year 95': the number of rainy days is (10) and the number of snowy days (5). Thus the number of rainy days is double then the number of snowy days and this is the correct answer.
• Year 92': the number of rainy days is (6) and the number of snowy days (10).
• Year 93': the number of rainy days is (9) and the number of snowy days (2).
• Year 94': the number of rainy days is (6) and the number of snowy days (4).

b) The correct answer is (3). Two possible methods of solving:

Method A: In regard to each answer we will check if there had been a rise in following years in both rainy and snowy days.

• Answer (1): Year 87' - Rain: 3 days. Snow: 8 days. Year 88' - Rain: 4 days. Snow: 5 days. Between 87'and 88' the number of snowy days dropped, so this is not the correct answer.

• Answer (2): Year 93' - Rain: 9 days. Snow: 2 days. Year 94' - Rain: 6days. Snow: 4 days. Between 93' and 94' the number of rainy daysdropped, so this is not the correct answer.

• Answer (3): Year 89' - Rain: 3 days. Snow: 2 days. Year 90' - Rain: 5days. Snow: 6 days.

• Answer (4): Year 91' - Rain: 9 days. Snow: 8 days. Between 89' and 91' the number of snowy and the number of rainy days grew, so this is the correct answer.

Method B: You can use the diagram instead of calculating the numbers. An increase in both the number of rainy and snowy days means the dot moving up (increase in rainy days) and right (increase in snowy days). We're looking for a sequence of three years, that in each of the last two years the dot moves up and right in comparison to the previous year.

c) First we will calculate the total number of rainy days from 87' to 89':

Year 87' had 8 rainy days, year 88' had 5 rainy days and 89' had 2 rainy days. So the total number of rainy days is 15 (8+5+2).

We're looking for a year in which 15 is 3 times larger than the number rainy days on that year, meaning a year that had 5 (15/3) rainy days.

According to the diagram, 1990' had 5 rainy days.

d) The correct answer is (4). Two possible methods of solving.

Method A: Calculate the difference between the number of rainy and snowy days (note that a difference is always positive):

• Answer (1): Year 89' - rain: 3 days, snow: 2 days. The "cold index" is 1 (3-2).
• Answer (2): Year 95' - rain: 10 days, snow: 5 days. The "cold index" is 5 (10-5).
• Answer (3): Year 93' - rain: 9 days, snow: 2 days. The "cold index" is 7 (9-2).
• Answer (4): Year 96' - rain: 2 days, snow: 10 days. The "cold index" is 8 (10-2).

The highest "cold index" is in 96'.

Method B: We can use the diagram. The "cold index" will be the highest when the difference between the rainy and snowy days is the highest, which leaves two options:

a - The rainy days are high (up in the diagram) and the snowy days are low (left in the diagram). The top left dot: Year 93'.

b - The rainy days are low (down in the diagram) and the snowy days are high (right in the diagram). The low right dot: Year 96'.

Now we need to check these two years as we did in Method A.

4. In this series, all basic arithmetic functions are used (+, -, x, ÷) and all of them involve the number 3. The order of the arithmetic functions are: x3, +3, ÷3, -3. Because the last action was subtraction, the next one should be multiplication: (-1) x 3 = (-3). The answer is -3.

### Our customers' comments on this product:

“ I found doing your numerical tests to really help me in terms of making me faster in answering the questions. It also aided me in providing me with the basic and more complex numerical applications, that I needed for all the online tests I have taken. „

UK Audit firm, Entry level, December 2012

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