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11+ bar charts questions

Bar charts comes up in the maths paper of every major 11+ format. Here is what the questions look like, the method that works under time pressure, and five worked examples with the full reasoning, from a gentle start to a hard paper.

Maths · examined by GL and CEM · 5 worked examples

What your child needs to know

Where marks get lost: For a difference question, read both bars first and then subtract. Most errors are scale errors.

Worked examples

Every question below is generated by the same engine your child practises on, and every answer is derived by our checker rather than written by hand — which is why we can put them on a public page at all.

Example 1 · level 1a gentle start

How many for Train?

012345678BikeTrainScooterTaxi
  • 20
  • 10
  • 1
  • 5

Answer: 5 Read the value off the axis for each bar before comparing.

Example 2 · level 2typical of early practice

Which has the most?

02468101214TueFriWedSat
  • Tue
  • Wed
  • Sat
  • Fri

Answer: Fri Read the value off the axis for each bar before comparing.

Example 3 · level 3standard paper difficulty

How many for Fish?

024681012141618BirdsFishRabbitsCatsHamsters
  • 21
  • 16
  • 5
  • 12

Answer: 16 Read the value off the axis for each bar before comparing.

Example 4 · level 4a harder paper

Which has the most?

024681012141618202224BirdsPoniesRabbitsCatsFish
  • Cats
  • Ponies
  • Birds
  • Rabbits

Answer: Ponies Read the value off the axis for each bar before comparing.

Example 5 · level 5the level that separates candidates

What is the total?

051015202530BirdsPoniesHamstersFishCats
  • 6
  • 61
  • 7
  • 13

Answer: 61 Read the value off the axis for each bar before comparing.

How to practise this at home

Practise bar charts with a tutor that explains

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More maths topics

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