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P6 Units and parts

Today’s problem — free all day, every step. Every day has one.

Amusement park

Q16 — Amusement park

One step of the worked solution to Amusement park, drawn in pencil.
9 steps, drawn in pencil

See all 9 steps

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The pattern behind it: Units and parts

Cut one amount into equal shares. One number tells you what a share is worth.

In this one. The gap between the two ratio bars is a gap you already know: Males − Females = (Boys − Girls) + (Men − Women) = 69 + 54 — compare the differences you were given, not the totals you don't have.

In allone share

How to spot it

A single amount is split by a ratio, a fraction or a percentage. One extra number gives you the leftover, the difference, or the value of one share.

Common mistake

Children match the given number to the wrong number of shares, using the whole bar when the number covers only the leftover or the difference between two people's shares.

Try one like it

Standard A bicycle's price — the percentage increase A bicycle shop increased the price of a bicycle from $650 to $780. What is the percentage increase?
All 16 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.