Creating and interpreting bar graphs for 11+ maths
21 October 2026
Why bar graphs matter in 11+ maths
Bar graphs help children turn lists of numbers into clear pictures. They make it easy to compare data and spot patterns. In the 11+ exam, your child may be asked to create or interpret a bar graph, so understanding the basics is essential.
The parts of a bar graph
Every bar graph has a title to explain what the data is about. The horizontal axis (x-axis) shows the categories being compared. The vertical axis (y-axis) shows the scale, with numbers for measurement. Each bar stands for a different category and its height or length matches the data value.
Key insight: Always check the scale on the y-axis
Choosing the right scale is important. If the numbers are too small or too large, the bars may not show clear differences. A good scale makes the graph easy to read and compare.
Worked example
A child records the number of books read each day:
Monday: 3 Tuesday: 5 Wednesday: 2 Thursday: 4 Friday: 6
Step 1: Draw two axes. Label the x-axis with the days of the week. Label the y-axis with numbers from 0 to 6.
Step 2: For each day, draw a bar up to the correct number. For Monday, draw a bar up to 3. For Tuesday, draw a bar up to 5, and so on.
Step 3: Check that each bar matches the data for that day.
The correct answer is a bar graph showing Friday with the tallest bar, so the most books were read on Friday.
How to interpret a bar graph
To read a bar graph, look at the height of each bar. Trace across to the y-axis to find the value. Compare the bars to see which category is highest or lowest. Look for patterns, such as which days had more or fewer books read.
Supporting your child
Encourage your child to practise drawing bar graphs from real-life lists. Ask questions like Which day had the most? or How many more books were read on Friday than on Monday? This builds confidence for the 11+ exam.
