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

Bar Charts

A bar chart's only trick is its scale: when each line is worth 2 or 5, reading heights as 1s wrecks every answer. This lesson builds the scale-first habit, then the compare-and-total questions.

S2Bar Charts
Height = how many. Mind the scale.
Bar charts compare amounts with bar heights — the scale tells you what each line is worth.
Favourite fruit in Year 5.
12Apple8Banana6Grapes10Mango
Read the axis scale first — lines often count in 2s, 5s or 10s.
1

Learn the 3-Step Method

1Read the scale.

Check what one grid line is worth — often 2, 5 or 10, not 1.

lines of 2?

2Read a bar's height.

Follow the bar's top across to the axis. Between lines? Use the gap value.

bar top → axis

3Compare and calculate.

‘How many more?’ = subtract: 12 apples − 8 bananas = 4 more.

12 − 8 = 4
💡 Key IdeaBar charts compare separate categories, so the bars have gaps between them — unlike a line graph's continuous story.
2

Worked Example

Using the chart above: how many children were asked altogether, and how many more chose apples than grapes?

Total
12 + 8 + 6 + 10 = 36
36 children
Difference
12 − 6 = 6
6 more
3

Watch Out! Common Mistakes

Assuming each line = 1.
bar at 6th line (scale of 2) = 6 ✕

Read the scale! With lines worth 2, the 6th line means 12.

Answering with the category.

Read the question! ‘How many chose apples?’ needs a number (12) — ‘Which was most popular?’ needs the category (apples).

Comparing by eye across scales.

Careful! Two charts with different scales can’t be compared by bar height alone — convert to numbers first.

Cheat Sheet

BAR CHARTS
  1. Read the axis scale before anything else.
  2. Bar height → across to the axis = the value.
  3. 'How many more' → subtract the two bars.
  4. Total → add all the bars.
Example: bars 12, 8, 6, 10 → total 36; apples beat grapes by 6.
📄 Free printable: Download the Bar Charts cheat sheet (PDF) — keep it by your child's desk.

Quick summary

Frequently asked questions

How do you read a bar chart scale?

Look at the numbered axis and work out what each grid line is worth — if the numbers go 0, 2, 4, 6, each line counts 2, so a bar reaching the 6th line shows 12.

What does a taller bar mean?

A bigger amount in that category — bar height represents frequency (how many).

Why do bar chart bars have gaps?

Because each bar is a separate category (apple, banana…) rather than a continuous scale — the gaps signal there's nothing 'between' the categories.

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