## ADVANCED NUMERICAL REASONING TESTS

This brand new 170-page excellent Advanced Numerical Tests book is packed full of tips, advice and sample test questions to help you prepare for any assessment.

This excellent Advanced Numerical Tests book is packed full of tips, advice and sample test questions to help you prepare for any assessment.

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.

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

The image below shows the cumulative number of births in various locations across the UK over a period of 4 months.

**Q. For the month of September, how many births took place in Maidstone?**

a. 9

b. 1,200

c. 3,000

d. 200

e. 250

**SOLUTION TO ADVANCED NUMERICAL TEST
QUESTION 1**

**NOTE:** The graph data is cumulative. What this means is that the data is increasing by successive addition for every month, starting with the month of September.

The following is a good explanation of how cumulative graphs, such as the one above, function. Assume you get an income paid into your bank every week. On the ﬁrst week you get paid, you spend nothing from your earnings and then get paid again the second week, but an unspeciﬁed amount. Your income for the second week could be higher or lower than your earnings on the ﬁrst week. A cumulative data graph would not tell you directly how much income you have made for the second week, but what it would tell you directly is how much income you have had in total over the two weeks.

Referring back to the question, sadly, this means that it is not simply a matter of reading straight off the graph to see how many births took place in September, which we are sure every reader would no doubt prefer it to be!

The procedure to get the correct answer is outlined below:

For the month of September, in Maidstone, we need to look at the two points located above 31st August and 30th September and then ﬁnd the difference between them:

Follow the 30th September upwards from the x-axis* until it hits the Maidstone curve, the data point sits on the number 4 in the y-axis*. Do the same for the 31st August. Following it upwards until it hits the Maidstone curve reveals that the data point lies on the number 2 in the y-axis. Both points are circled in the diagram below for clarity.

***The x-axis is the horizontal component of any graph and the y-axis is the vertical component of any graph.**

To ﬁnd the difference, subtract both points from each other: 4-2=2

The next thing we need to consider is that the title of the graph tells us that all numbers used in the graph are shortened by two zeros [Cumulative Births (00s)]. So, for the difference we just calculated between the two points above 30th September and 31st August, the number 2 becomes 200.

**This is the answer to Question 1: d. 200**

A BOOK THAT EVERY ADULT SHOULD HAVE!

**This 170-page ‘Advanced Numerical Tests’ book covers a wide range of tests, including:**

- Data Interpretation.
- Pie charts and percentage questions.
- Data analysis and percentage growth rates.
- Data analysis and ratios.
- Data analysis/comparisons.
- Data interpretation, analysis and ratio questions.
- Ratio and exchange rate questions.
- Data interpretation and percentage questions.
- Annual percentage increase questions and ratios.
- Data comparison involving multiplication, division, subtraction and addition.

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