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P6 Forming and simplifying ratios

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Red and blue beads — 24 and 32

There are 24 red beads and 32 blue beads. Write the ratio of red beads to blue beads.

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24 : 32 (equivalently 3 : 4)

One step of the worked solution to Red and blue beads — 24 and 32, drawn in pencil.
5 steps, drawn in pencil

The pattern behind it: Forming and simplifying ratios

Keep the quantities in order and divide both by the same number.

In this one. The order in the question matters: red first, blue second. Both quantities count beads, so they already use the same unit.

18 : 24 becomes 3 : 4first18; each box is 6second24; each box is 6

How to spot it

The question names two quantities in a stated order, red to blue, or gives an existing ratio to reduce. Words like 'ratio' and 'simplest form' give it away.

Common mistake

Children write the numbers in the order they appear in the story rather than the order the question asks for. When simplifying, they divide only one of the two numbers instead of both.

Try one like it

Standard Red and blue beads — 18 and 24 There are 18 red beads and 24 blue beads. Write the ratio of red beads to blue beads.
All 4 with this pattern →

The 33 problem patterns

All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.

A PDF, and a note when new solutions go up.