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The metric system is based on decimal numbers: 10 mm = 1 cm, 100 cm = 1 m, 1,000 m = 1 km.

Decimal Numbers 3 (Medium)

Welcome to the third quiz in our Medium section of Eleven Plus maths quizzes on Decimal Numbers. If you have played the previous ones, then you should sail through this, armed with what you have already learned. We’ll ask you to convert decimals into fractions, and vice versa, and we’ll also see whether you know the rules when multiplying or dividing decimals by multiples of ten.

Here’s a recap:

When dividing, move the digits to the right
When multiplying, move the digits to the left
If you divide/multiply by 10, move the digits one place to the left/right
If you divide/multiply by 100, move the digits two places to the left/right
If you divide/multiply by 1,000, move the digits three places to the left/right

Feeling confident? Then on with the quiz. Have fun!

1 .

What is ‘seven-eighths' as a decimal?

0.875

0.775

0.979

0.85

⁷?₈ = 0.875: divide 7 by eight

2 .

What is 1.2 as a fraction?

1¹⁄₄

1¹⁄₅

1¹⁄₆

1¹⁄₇

0.2 = ¹?₅, so 1.2 will equal 1¹?₅

3 .

If you multiply 0.986 by 100, what number do you get?

9.86

0.0986

98.6

986

If you multiply by 100, move the digits two places to the left

4 .

If you divide 78.604 by 100, what number do you get?

7,860.4

7.8604

786.04

0.78604

If you divide by 100, move the digits two places to the right

5 .

If you divide 0.023 by 10, what number do you get?

0.0023

2.3

0.23

If you divide by 10, move the digits one place to the right

6 .

If you multiply 753.002 by 10, what number do you get?

75.3002

7,530.02

7.53002

75,300.2

If you multiply by 10, move the digits one place to the left

7 .

If you turn ‘three-quarters’ into a decimal and then multiply by 100, what is the answer?

0.75

7.5

750

3 ÷ 4 = 0.75 and 0.75 x 100 = 75

8 .

If you multiply 0.109 by 1,000, what number do you get?

1,090

1.09

10.9

109

If you multiply by 1,000, move the digits 3 places to the left

9 .

If you divide 101.742 by 1,000, what number do you get?

1,017.42

10.1742

1.01742

0.101742

If you divide by 1,000, move the digits 3 places to the right. The decimal point in whole numbers cannot be seen, but it can be imagined as coming straight after the number, followed by zeros (i.e. 221 = 221.000)

10 .

What is ‘seven-thirds' as a decimal?

0.429

2.333

1.666

2.666

⁷?₃ = 2.333: divide seven by three

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)