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Ratio Quiz Illustration | A vinyl record
How many vinyl records were sold this week?

Ratio 3 (Difficult)

This 11 Plus Maths quiz focuses on ratios in maps and measurements, showing how scale helps us represent large areas accurately on small diagrams.

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(quiz starts below)

Fascinating Fact:

A map scale of one to fifty thousand means one centimetre equals five hundred metres, so you can measure a whole town using just a ruler.

In 11 Plus Maths, pupils use ratios and scales to interpret maps, convert measurements, and understand distances. These skills combine maths with geography, helping learners visualise how numbers represent real spaces.

Key Terms

  • Scale: A ratio that shows how a drawing or map represents real distances or sizes.
  • Conversion: Changing a value from one unit to another, such as centimetres to metres or kilometres.
  • Proportion: A comparison showing that two ratios are equal or represent the same relationship.

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

Frequently Asked Questions (Click to see answers)

What does a map scale of 1:50,000 mean?

It means one unit on the map, such as a centimetre, represents fifty thousand of the same units in real life. For example, one centimetre equals five hundred metres.

How do you convert between map and real distances?

Multiply the map distance by the scale number to get the real distance, or divide the real distance by the scale number to find the map distance.

Why is understanding scale important?

Understanding scale helps when reading maps, designing models, or creating blueprints. It ensures accuracy when comparing real-world measurements with smaller representations.

Try These Related Quizzes

1 .
How else can the ratio 6:2.1 be written?
3:1
60:20
30:10
20:7
6:2.1 = 60:21 (multiply by 10). This can be simplified to 20:7 by dividing by 3
2 .
Three children, Amy, Brian and Chloe, raised £70 for charity, in the ratio 4:6:7.5 respectively. How much money did each child raise?
Amy £16, Brian £30, Chloe £24
Amy £16, Brian £24, Chloe £30
Amy £24, Brian £16, Chloe £30
Amy £30, Brian £24, Chloe £16
4 + 6 + 7.5 = 17.5
£70 ÷ 17.5 = 4, so every “unit” in the ratio is worth £4
£4 x 4 = £16, so Amy raised £16
£4 x 6 = £24, so Brian raised £24
£4 x 7.5 = £30, so Chloe raised £30
3 .
What are the fraction parts of the ratio 3:5:6?
3⁄12, 5⁄12, and 6⁄12
3⁄13, 5⁄13, and 6⁄13
3⁄14, 5⁄14, and 6⁄14
3⁄15, 5⁄15, and 6⁄15
3 + 5 + 6 = 14 which becomes the denominator in the fractional parts
4 .
How else can the ratio 6:2.2:3.4 be written?
30:11:17
30:10:17
28:11:17
30:11:18
6:2.2:3.4 = 30:11:17 (multiply by 5). You need to find a number to multiply by which will make 2.2 and 3.4 into whole numbers
5 .
How else can the ratio 0.8:4.2:3.4 be written?
4:20:17
4:21:18
4:21:17
5:21:17
0.8:4.2:3.4 = 4:21:17 (multiply by 5). This example should show you why it is important to be able to simplify ratios
6 .
What are the fractional parts of the ratio 30:18 in their simplest form?
3⁄4, and 1⁄4
5⁄8, and 3⁄8
10⁄16, and 6⁄16
30⁄48, and 18⁄48
30 + 18 = 48. This can be simplified by dividing by six to 5 + 3 = 8 which becomes the denominator in the fractional parts. Always try to simplify if it is possible
7 .
What are the fractional parts of 14:28:21?
2⁄7, 4⁄7, and 3⁄7
2⁄8, 4⁄8, and 3⁄8
2⁄9, 4⁄9, and 3⁄9
2⁄10, 4⁄10, and 3⁄10
14:28:21 = 2:4:3 (divide by 7). 2 + 4 + 3 = 9 which becomes the denominator in the fractional parts. Always try and simplify your ratios BEFORE you work out the fractional parts
8 .
Anita, Bobby and Charles have been making bookmarks. They made 40 in all, in the ratio 7:8:5 respectively. How many bookmarks did each child make?
Anita 14, Bobby 16, and Charles 10
Anita 16, Bobby 10, and Charles 14
Anita 10, Bobby 14, and Charles 16
Anita 18, Bobby 14, and Charles 8
7 + 8 + 5 = 20 ? the fractional parts are as follows: Anita, 7?20 x 40 = 14, Bobby, 8?20 x 40 = 16, Charles, 5?20 x 40 = 10
9 .
Arnold, Beth and Claire are saving their money. Arnold has £24, Beth has £12 and Claire has £32. What is the simplest ratio to express these amounts?
3:2:6
4:2:6
5:3:7
6:3:8
A:B:C: = 24:12:32 = 6:3:8 (dividing by 4)
10 .
An antique music shop sold 450 items this week: vinyl records, CDs and audio tapes in the ratio 5:12:1 respectively. How many of each item were sold?
25 vinyl records, 300 CDs, 125 audio tapes
125 vinyl records, 25 CDs, 300 audio tapes
125 vinyl records, 300 CDs, 25 audio tapes
300 vinyl records, 125 CDs, 25 audio tapes
5 + 12 + 1 = 18 ? the fractional parts are as follows: vinyl records, 5?18 x 450 = 125, CDs,12?18 x 450 = 300, and audio tapes, 1?18 x 450 = 25
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)
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