Decimal numbers are just another way of writing fractions. For example, one-half can be written as ½, but in decimal, it is 0.5 (that’s because 1 ÷ 2 = 0.5). Familiarity with both forms is essential for the Eleven Plus maths exam.

In this, the second of our medium level quizzes on decimal numbers, your ability to convert decimals to fractions, and vice versa, will be tested to the max! Keep playing until you are fully confident and then try our difficult quizzes on the subject. Before long decimals will cause you no doubt at all!

Make sure to read the comments after you've answered the questions. They are full of helpful tips and explanations that make life much easier.

So, if you are ready, it’s time to begin. Have fun!

1.

What is 0.75 as a fraction?

75 is 3 x 25, and we know that 25 is one-quarter of 100. So, 0.75 is three-quarters of 1.

2.

If you divide 221 by 1,000, what number do you get?

0.0221

22.1

2.21

0.221

If you divide by 1,000, move the decimal point 3 places to the left. 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)

3.

What is 0.333 as a fraction?

4.

If you multiply 0.024 by 1,000, what number do you get?

240

0.24

2.4

24

If you multiply by 1,000, move the decimal point 3 places to the right

5.

If you turn ‘one-fifth’ into a decimal and then multiply by 10, what is the answer?

25

2

200

20

1 ÷ 5 = 0.2 and 0.2 x 10 = 2

6.

What is ‘one-fifth’ as a decimal?

0.12

0.2

0.25

0.125

100 ÷ 5 = 20 so 1 ÷ 5 = 0.2

7.

What is ‘one-hundredth’ as a decimal?

0.1

0.01

0.001

0.0001

The columns after the decimal point are tenths, hundredths, thousandths, ten-thousandths etc.

8.

What is 0.125 as a fraction?

100 ÷ 8 = 12.5. and 12.5 ÷ 100 = 0.125

9.

What is 0.666 as a fraction?

10.

What is ‘three-eighths’ as a decimal?

0.375

0.333

0.425

0.412

To work this out, first divide 100 by 8 to get 12.5. Next multiply 12.5 by 3 to get 37.5. Finally, divide 37.5 by 100 to get the answer 0.375