How to Pass Numerical Reasoning Tests – First Time!

It appears that nowadays, just about every selection process or assessment centre consists of a numerical reasoning test. It is important that you score very high during your test which is why we have created a 168 page workbook that is full of numerical reasoning test questions and explanations.

Learn how to pass your Numerical Reasoning assessment with this ultimate NEW testing guide. Packed full of sample questions for BASIC, INTERMEDIATE and ADVANCED levels, this comprehensive guide will guarantee to improve your chances and enhance your performance.

Numerical Reasoning Tests Workbook
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What are Numerical Reasoning Tests?

Whichever job you apply for it is highly likely that you will be required to sit a numerical reasoning test of some sort. Whether you are applying to become a firefighter or police officer in the public sector, or if you want to become an investment banker, you will need to gain sufficient scores during a numeracy test.

  • Numerical reasoning tests are designed to assess your ability to carry out calculations with numbers that are similar to the types of tasks you will need to carry out in the role you are applying for.
  • For example, as a firefighter you would be required to carry out calculations based on breathing apparatus timings and hose length calculations.
  • As a paramedic you might have to use calculations to determine the quantity of drugs you need to administer whilst as a retail clerk or sales assistant you might have to carry out basic arithmetic such as addition, subtraction, multiplication and division.
  • Whatever standard of test you are required to undertake the most effective way to prepare is to carry out plenty of sample test questions that are similar to the ones you will come across during the real test.

BASIC - INTERMEDIATE - ADVANCED

In this direct, but easy to follow guide, you will be taught the basics of maths through to intermediate numerical questions and then followed by advanced numerical reasoning. Broken down into detailed examples for every numerical reasoning question type, this guide then includes 100s of sample questions for you to practice your numerical reasoning – each with its own detailed answer.

Focused on primarily on helping people like you to pass any form of numerical reasoning test, including GCSE mathematics, 11-plus, career assessment centres, A-level mathematics and also advanced numeracy tests.

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PREPARATION, PRACTICE, AND PERSEVERANCE!

Amidst the education system, children will have to partake in several assessments in which to monitor their progress.

Here at How2become, we believe the three KEY things to remember in regards to SATs and examinations is Preparation, Practice, and Perseverance!

By preparing for every eventuality in which you will encounter, will allow you to be confident enough to tackle these assessments head on; the only way this can be achieved is through practice and persevering!

The more practice you encounter, the better you will score! Persevering through practice papers and sample questions will guarantee to improve your knowledge and ability, and, therefore, will prepare you for your assessment!

 

To help you get started in your preparation, let us take a look at a couple of sample numerical reasoning test questions and answers.

Sample Numerical Reasoning Practice Questions

SAMPLE NUMERICAL REASONING TEST QUESTION 1

A farm is split into 3 sections, A, B and C. If the area of all 3 sections combined is 250m2 and the area of section A is 80m2, work out the area of section B using the diagram below.

A farm is split into 3 sections, A, B and C. If the area of all 3 sections combined is 250m2 and the area of section A is 80m2, work out the area of section B

Diagram not to scale

a) 32m2
b) 76m2
c) 74m2
d) 96m2

SAMPLE NUMERICAL REASONING TEST QUESTION 2

A builder needs 5 pieces of wood and has a plank of wood measuring 45 metres in length. If the builder chops the plank into 5 equal pieces what length would each of the 5 pieces be?

A builder needs 5 pieces of wood and has a plank of wood measuring 45 metres in length. If the builder chops the plank into 5 equal pieces what length would each of the 5 pieces be?

a) 5 m
b) 4 m
c) 8 m
d) 9 m
e) 40 m

ANSWERS

Answer to numerical reasoning question 1

The combined area of all 3 sections A, B and C is given as 250m2 in the question and the area of section A only is given as 80m2. This means that the area of sections B and C combined must be:

250-80=170m2

It is possible to find the area of section C alone from the diagram and is calculated by multiplying the two sides together:

Area of section C is 12×8=96m2

The area of sections B and C combined is 170m2 so the area of section B alone can be calculated by subtraction the area of C from the area of sections B and C combined as shown below:

Area of section B = Area of sections B and C combined – Area of section C
=170-96
=74m2

The answer to question 1 is c) 74m2

Answer to numerical reasoning question 2

If a 45 m length plank is chopped into 5 equal pieces the calculation is 45÷5 = 9m

If a 45 m length plank is chopped into 5 equal pieces the calculation is 45÷5 = 9m

Each piece is 9m long.

The answer to question 2 is d) 9m

Numerical Reasoning Tests Workbook
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MAIN PRODUCT FEATURES

  • Lots of sample numerical reasoning tests.
  • Charts, graphs, percentages and fractions.
  • Comprehensive explanations to the questions to help you prepare effectively.
  • Tips to assist the reader improve his/her performance when undertaking numerical tests.
  • Questions created by an expert in this field.
  • 168-pages of test questions and advice.
  • Mock tests to assess your progress.
  • Created and written by a Master’s Degree Qualified Mathematician.
  • Lots of sample test questions and answers of varying degrees of ability.

TIPS FOR PASSING NUMERICAL REASONING TESTS

TEST TIP 1

Before you attend the test you need to find out whether or not you will be permitted to use a calculator.

  • If you are not permitted to use a calculator then the chances are the numerical test questions will be of general basic standard such as addition, subtraction, multiplication and division.
  • When practising under these restrictions you should not use a calculator. However, the vast majority of test administrators will permit you to write down your workings out during the test.
  • If this is the case remember to keep your workings out neat and tidy as some assessors will check over these to see what calculations you have been using to reach your answers.

If it transpires that you are permitted to use a calculator during the real test you should first of all ask whether it is permissible for you to take in your own calculator. If this is the case you need to be fully conversant with how your calculator functions. We have been aware that some people have attended a numerical reasoning test with their own calculator but they struggle to understand how it works.

TEST TIP 2

Many numerical reasoning tests will be of multiple-choice in nature, just like the sample questions we provided you above.

If this is the case you should try as much as possible to avoid wild guessing. More and more test administrators are now deducting marks for incorrect answers so please be careful of this, especially when you are running out of time.

TEST TIP 3

The final tip is in relation to completing the test that you are sitting. It is a common misconception that you MUST complete or finish the numerical reasoning test.

Unless instructed otherwise you should work quickly and accurately through the test questions. However, if you notice that you are running out of time, do not panic. The vast majority of numerical reasoning tests are design not to be finished. The key here is to not sacrifice speed for accuracy.

BASIC SAMPLE NUMERICAL REASONING TEST QUESTIONS

Percentage Increase Solution Diagram Percent Increase % = Increase ÷ original number x 100

Percentage Increase

To work out the percentage increase of a set of data, you need to remember this formula:

Percent Increase % = Increase ÷ original number x 100

If your answer is a negative number, then this is a percentage decrease.

Math help - how to work out Mass, Volume, and DensityMass / Density / Volume

To work out the Mass:

  • Mass = Density x Volume

To work out the Volume:

  • Volume = Mass ÷ Density

To work out the Density:

  • Density = Mass ÷ Volume

INTERMEDIATE SAMPLE NUMERICAL REASONING TEST QUESTIONS

How to simplify equations

Simplifying Equations

Simplify 5w – 6x – 2w – 1x
(5w) (- 6x) (- 2w) (- 1x)
(5w – 2w) = 3w
(-6x – 1x) = -7x
3w -7x

  • The important thing to remember for simplifying equations is to break up the equation (like above).
  • The ‘-‘ signs and the ‘+’ signs should also be grouped and be on the left side of the number.

How to work out Velocity Graphs for Maths

Velocity Graphs

How to work it out:

Step 1 = Car A = change in velocity = 16 – 5 = 11 11 ÷ 20 = 0.55

Step 2 = Car B = change in velocity = 15 – 0 = 15 15 ÷ 20 = 0.75

Step 3 = difference from Car B to Car A = 0.75 – 0.55 = 0.2

ADVANCED SAMPLE NUMERICAL REASONING TEST QUESTION

How to work out solving simultaneous equations

Solving Simultaneous Equations

x = 0.5 and y = -4

EXPLANATION =

  • (Equation 1) = -6x + 8y = -35 (Equation 2) = 2x + 3y = -11
  • -6x + 8y = -35 6x + 9y = -33
  • -6z + 6x + 8y + 9y = (-35) + (-33)
  • 17y = -68 y = -4
    Substitute y = -4 into equation 1 = -6(x) + 8(-4) = -35
  • -6x – 32 = -35 -6x = -35 + 32 -6x = -3
  • x = 0.5

Show that, in the diagram below, cos α = 65

Show that, in the diagram below, cos α = 65

Your working out should be as follows:

Using the two right-angled triangles we can determine the following

Numerical Reasoning Explanation part 1

Now since 𝛼 = ∠𝐷𝐴𝐸 − ∠𝐵𝐴𝐶, we can use the angle subtraction formula for

cosine to find cos 𝛼:

Numerical Reasoning Explanation part 2

PASS ANY MATHS ASSESSMENT WITH THE HELP OF OUR ULTIMATE NUMERICAL REASONING TESTING GUIDE!

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