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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)

Discover how decimals connect maths and art in this 11 Plus quiz. Explore the beauty of patterns, ratios, and numbers found in nature and design.

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Fascinating Fact:

The decimal 0.618, called the golden ratio, appears in seashells, sunflowers, and famous paintings, showing maths hides in beauty.

In 11 Plus Maths, decimals help explain precision, proportion, and symmetry. The golden ratio links numbers to natural shapes and artistic balance, showing how maths exists in the world around us.

Key Terms

Golden Ratio: A special number, about 1.618, that often appears in nature and art.
Proportion: The relationship in size between two quantities or figures.
Symmetry: When one half of an object mirrors the other, creating balance and harmony.

For practice materials and example questions, explore our Guide to 11 Plus Sample Questions for Parents .

Frequently Asked Questions (Click to see answers)

What is the golden ratio used for?

The golden ratio is used in art, nature, and design to create balanced proportions that are pleasing to the eye.

How do decimals link to ratios?

Decimals show precise ratios between numbers. For example, 0.5 means one half, while 0.618 represents the golden ratio.

Where can I see the golden ratio in real life?

It can be seen in shells, flowers, hurricane spirals, and famous works like the Parthenon and Leonardo da Vinci’s art.

Try These Related Quizzes

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)