Maths Library

Bar Graphs and Column Graphs: Year 4 maths

This topic covers reading, interpreting, and constructing discrete data visualisations on vertical and horizontal axes. Pupils practise extracting values, comparing categories, and calculating totals or differences from bar charts.

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What this covers

Bar Graphs and Column Graphs is taught in Year 4 (age 9 to 10) as a main teaching focus. It sits in the Statistics strand.

Worked example

A bar chart shows 8 pupils like apples and 14 pupils like bananas. How many more pupils prefer bananas than apples

  1. Read the frequency for bananas: 14.
  2. Read the frequency for apples: 8.
  3. Subtract to find the difference: 14 - 8 = 6.

Answer: 6

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Reading single bars with unit scale increments (steps of 1)
  2. Reading intervals of 2, 5, or 10 and comparing two bars
  3. Interpreting values that fall halfway between gridlines
  4. Two-step problems such as finding totals or multi-bar differences
  5. Reading dual or grouped bar charts to make composite comparisons

Common mistakes

  • Misreading the vertical scale by assuming every grid line represents 1 unit
  • Reading the height of the wrong bar when bars are adjacent

Curriculum links

Indicative matches to Australian Curriculum v9. Check wording and codes against the official document.

  • AC9M4ST01 Construct and interpret data displays including column graphs and tables.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Bar Graphs and Column Graphs

Year 4 maths

Qs
6
Marks
12
NameDateScore / 12
1.
How many were sold on Mon?
048121620MonTueWedThuFri
[2]
2.
How many were sold on Thu?
048121620MonTueWedThuFri
[2]
3.
How many were sold on Wed?
048121620MonTueWedThuFri
[2]
4.
How many were sold on Tue?
048121620MonTueWedThuFri
[2]
5.
How many were sold on Thu?
048121620MonTueWedThuFri
[2]
6.
How many were sold on Tue?
048121620MonTueWedThuFri
[2]

Answer key

  1. 12Read the height of the Mon bar against the scale; 12
  2. 6Read the height of the Thu bar against the scale; 6
  3. 8Read the height of the Wed bar against the scale; 8
  4. 10Read the height of the Tue bar against the scale; 10
  5. 18Read the height of the Thu bar against the scale; 18
  6. 8Read the height of the Tue bar against the scale; 8