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ElevenPlusGenius

11+ ratio questions: bar model drill

To solve an 11+ ratio question, draw a bar for each person split into the ratio's parts, find what one part is worth from the number you are given (a total, a difference or one share), then multiply.

Your child's test
Bar model

Amir and Bea share 45 sweets in the ratio 2 : 3. How many sweets does Bea get?

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How do you solve 11+ ratio questions?

Draw a bar for each share split into equal parts, one part per unit of the ratio. Use the number you are given (the total, the difference or one share) to find one part, then multiply.

What is a changing ratio question?

One amount changes and the ratio changes with it. Look for what stays the same: the total when items move between people, or one person's amount when only the other changes.

Is ratio in every 11+ maths paper?

Ratio and proportion are part of the Key Stage 2 curriculum that 11+ maths papers draw on, including the Kent Test, the Bucks test and the Sutton SET.

How we work this out

What it does

Draw equal parts for each share, find what one part is worth, and solve sharing and changing-ratio questions.

Year 5 and 6 ratio and proportion as it appears in 11+ maths: sharing, differences, changing ratios, recipes and the link with fractions. Every question is original.

Method

  1. Each bar model is drawn from the ratio: one box per part, so the picture and the sum always agree.
  2. Wrong choices are the usual slips: dividing by one side of the ratio instead of the total, or keeping the total fixed when it changes.

Sources

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