**When you read a newspaper or a magazine, you are often shown diagrams and graphs** that show interesting facts, e.g. the different types of pets that people have. In order to understand this information, you often have to know how to make the information understandable.

Many technical, scientific and other documentation involves data in the form of graphs and diagrams, along with text. If you aspire to get into the world of science, engineering, architecture or other similar careers, you will need to know all about data. Not only how to present data, but how to read and understand it too.

This 11-plus Maths quiz will help you in handling data in simple cases. Do it and learn how to understand reading simple facts, figures and diagrams. Once you have got full marks, move onto our next quiz which is a little more challenging.

1.

Last month, The 'TOYS' toy shop sold 210 teddy bears. Using a pictogram, if 1 teddy bear head represents 20 teddy bears, how many teddy bear heads would you use to show this information?

10

20

10.5

21

210 ÷ 20 = 10.5. You have to divide 210 by 20 because you want to find out how many 'lots' of 20 there are in 210: each 'lot' equals 20 teddy bears: this is the same as adding 'lots' of 20 to itself until you get to 210

2.

What is meant by the word 'data'?

Calculations

Interesting graphs and pictures

Entertaining facts and figures

Information

Data is information: the facts and details that have been collected about a particular subject or event. For example, the different types of pets that people keep. This information can be displayed in many different ways: graphs, pictures, tables, text and calculations. 'Data' is used in the plural: 'The data have been collected by the university'

3.

What is meant by the phrase 'interpreting data'?

Trying to understand what the data means

Putting the data in order

Checking that the data is accurate

Displaying the information in the nicest way

When we look at data, we want to come to some useful conclusion: we can only come to a useful conclusion if we understand it correctly

4.

Which one of the following is not a graphical means of showing data: bar charts, texts, graphs, pictograms?

Pictograms

Texts

Bar charts

Graphs

A 'text' is a written representation - not a graphical one

5.

Which of the following numbers is used to represent groups of tally marks?

10

5

15

20

Remember this fact: Here are the tally marks: l l l l, the fifth tally mark is written diagonally across the four shown here: slanting upwards from left to right

6.

60 children were asked whether they cycled to school. 20 children said no. What fraction of a pie chart would be taken up by those that didn't cycle to school?

20 = ^{1}⁄_{3} of 60

7.

In a class of 28 pupils, 7 pupils said that they could not swim and the rest said that they could. How would this information be shown on a pie chart?

7 is a quarter of 28, so ^{1}⁄_{4} would be used by the non swimmers. The remaining three-quarters would be used by the swimmers

8.

In a pie chart, what is the name given to the shapes that the circle is split up into for the purpose of representing the data?

Slice

Segment

Bit

Portion

Some people also use the word 'sector'

9.

Which of the following is not an important piece of information when looking at a bar chart: the vertical scale used for the bars, the title of the bar chart, the width of the bars, the height of the bars?

The title of the bar chart

The vertical scale used for the bars

The height of the bars

The width of the bars

All the bars are of the same width in a bar chart - it is the vertical height that is of importance

10.

Using a bar chart, Peter carefully recorded the number of different sightings of expensive cars in his town between 4 pm and 7 pm; however, there was no bar above the label for Ferrari cars. Why?

There are no Ferrari cars in his town

He had made a mistake in recording the cars

He hadn't observed any Ferrari cars during that time period

He didn't really understand what he was doing

If 'Peter carefully recorded' the data, then he simply didn't observe any Ferrari cars during that time period. You can't say anything else without further information

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