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11+ Maths Guide · Year 5–6 · Free lesson

Reading Scales

Most scale-reading mistakes come from one habit: counting marks instead of gaps. This lesson teaches the gap-value method that reads any jug, ruler, dial or thermometer correctly.

ME7Reading Scales
Work out what each mark is worth.
Reading a scale means finding the value of each small division first.
What does the arrow show?
0100200300400500350 g
0 to 500 g in 10 divisions → each mark = 50 g
Gap value = (big number − small number) ÷ number of gaps.
1

Learn the 3-Step Method

1Read the labelled numbers.

Find two labelled marks, e.g. 0 and 500.

0 … 500

2Count the gaps between them.

Count GAPS, not marks. Here: 10 gaps.

10 gaps

3Divide to find each gap.

(500 − 0) ÷ 10 = 50. Each mark is worth 50.

500 ÷ 10 = 50
💡 Key IdeaScales on jugs, rulers and weighing scales all work the same way: find the gap value first, then count along.
2

Worked Example

A measuring jug is labelled 0, 200, 400, 600 ml, with one unlabelled mark between each pair. The juice reaches one mark above 400. How much juice?

Gap value
200 ÷ 2 = 100 ml
2 gaps between labels
→
Count up
400 + 100 = 500
→
✓ Answer
500 ml
3

Watch Out! Common Mistakes

✕
Counting marks instead of gaps.

The classic! 11 marks make only 10 gaps. Always count the spaces between marks.

✕
Assuming every mark is worth 1.
arrow at 7th mark → “7 g” ✕

Wrong! Find the gap value first — here each mark is 50 g, so the 7th mark is 350 g.

✕
Reading the wrong direction.

Careful with dials! Some scales run right-to-left or curve round. Check which way the numbers grow before reading.

📄 Free printable: Download the Reading Scales cheat sheet (PDF) — keep it by your child's desk.

Quick summary

Frequently asked questions

How do you read an unlabelled mark on a scale?

Work out what each division is worth — take two labelled numbers, find their difference, and divide by the number of gaps between them. Then count on from a label.

Why do children misread scales?

Almost always by counting marks instead of gaps (11 marks = 10 gaps), or assuming each mark is worth 1. The gap-value routine fixes both.

Where do scale questions appear in exams?

Measuring jugs, weighing scales, thermometers and rulers — usually asking for a value at an unlabelled mark, exactly as practised here.

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