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A collection of blue, green yellow and red marbles
The ratio of blue, green yellow and red marbles is 3:3:2:2.

Ratio 2 (Difficult)

This 11 Plus Maths quiz explores ratios through practical examples, from building with concrete to solving complex proportional problems and scaling quantities accurately.

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Fascinating Fact:

The ratio of sand to cement in concrete is usually one to three, which means builders are quietly doing maths with every brick they lay.

In 11 Plus Maths, pupils learn how ratios describe relationships between quantities and how to apply them in everyday contexts. Whether mixing ingredients or designing models, ratios ensure things stay balanced and precise.

Key Terms

  • Ratio: A comparison of two or more quantities showing how much of one exists compared to another.
  • Proportion: When two ratios are equal, showing a consistent relationship between quantities.
  • Scaling: Changing the size of a quantity or object while keeping its proportions the same.

Learn more about 11 Plus exams in our guide for parents.

Frequently Asked Questions (Click to see answers)

How are ratios used in building and construction?

Ratios ensure the right mix of materials like sand, cement, and water. A correct ratio makes structures strong and prevents problems such as cracks or weak foundations.

What is the difference between a ratio and a fraction?

A ratio compares two quantities directly, like 1:3, while a fraction shows one part of a whole, such as 1/4. Ratios can often be written as fractions to solve problems.

Why are ratios important in problem solving?

Ratios help simplify real-world problems, such as sharing money fairly or resizing recipes. They show how quantities relate and change together in proportion.

Try These Related Quizzes

1 .
650 orders have been made for 3 products: TV sets, microwaves and fridges in the ratio 8:2:3 respectively. How many items of each product have been ordered?
400 TV sets, 100 microwaves and 150 fridges
80 TV sets, 20 microwaves and 30 fridges
450 TV sets, 150 microwaves and 200 fridges
160 TV sets, 40 microwaves and 120 fridges
8 + 2 + 3 = 13 ? the fractional parts are as follows: TVs, 8?13 × 650 = 400; microwaves, 2?13 × 650 = 100; fridges, 3?13 × 650 = 150
2 .
What are the fractional parts of 7:4:11?
7⁄11, 4⁄11 and 11⁄11
7⁄22, 4⁄22 and 11⁄22
1⁄3, 1⁄5 and 1⁄2
14⁄22, 8⁄22 and 22⁄22
7 + 4 + 11 = 22 which becomes the denominator in the fractional parts
3 .
What are the fractional parts of the ratio 3:18 in their simplest form?
1⁄6 and 6⁄6
1⁄21 and 6⁄21
1⁄7 and 6⁄7
3⁄21 and 18⁄21
3 + 18 = 21. This can be simplified by dividing by three to 1 + 6 = 7 which becomes the denominator in the fractional parts. Always try to simplify if it is possible
4 .
How else can the ratio 1.5:2:1.2 be written?
2:4:1
10:15:8
15:20:10
15:20:12
1.5:2:1.2 = 15:20:12 (multiplying by 10). You need to find a number to multiply by which will make 1.5 and 1.2 into whole numbers
5 .
How else can the ratio 2.5:1.25:7 be written?
10:5:28
10:4:28
11:5:28
10:5:24
2.5:1.25:7 = 10:5:28 (multiply by 4)
6 .
Andrew, Beatrice and Clair earned £700 for a job. They shared it in the ratio 4:3:7 respectively. How much did each person get?
Andrew £300, Beatrice £200 and Clair £200
Andrew £300, Beatrice £250 and Clair £150
Andrew £200, Beatrice £150 and Clair £350
Andrew £350, Beatrice £150 and Clair £200
4 + 3 + 7 = 14 ? the fractional parts are as follows:
Andrew, 4?14 × £700 = £200;
Beatrice, 3?14 × £700 = £150;
Clair, 7?14× £700 = £350
7 .
Anna, Brian and Charles are given 17 sweets to share. The sweets are given out in the ratio 12:10:12 respectively. How many sweets did each child get?
Anna 12, Brian 10 and Charles 12
Anna 6, Brian 5 and Charles 6
Anna 8, Brian 7 and Charles 8
Anna 3, Brian 4 and Charles 3
12:10:12 can be simplified by dividing by two to make 6:5:6. This ratio adds up to 17 so that is the number of sweets each child received
8 .
How else can the ratio 4:1.2 be written?
3:10
20:5
20:7
10:3
4:1.2 = 20:6 (multiply by 5). This can be simplified to 10:3 by dividing by two
9 .
Adam, Beth and Carla are stamp collectors. Adam has 44 stamps, Beth has 68 and Carla has 76. What is the simplest ratio to express these amounts?
11:17:19
22:34:38
44:68:76
5:8:10
A:B:C: = 44:68:76 = 11:17:19 (dividing by 4)
10 .
What are the fractional parts of the ratio 5:9:3?
5⁄18, 9⁄18 and 3⁄18
5⁄17, 9⁄17 and 3⁄17
5⁄19, 9⁄19 and 3⁄19
5⁄20, 9⁄20 and 3⁄20
5 + 9 + 3 = 17 which becomes the denominator in the fractional parts
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)
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