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P5–P6 Units and parts

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

A bakery bakes two kinds of loaves for its morning batch.

A bakery bakes two kinds of loaves for its morning batch. ⅜ of the loaves are wholemeal and the rest are white. ⅙ of the wholemeal loaves are raisin loaves. In the whole batch, ¼ of the loaves are raisin loaves. What fraction of the white loaves are raisin loaves?

One step of the worked solution to A bakery bakes two kinds of loaves for its morning batch., drawn in pencil.
6 steps, drawn in pencil

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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. Choose a convenient total of 48 so that every “fraction of” becomes a whole-number count, then subtract the known wholemeal raisin loaves from all the raisin loaves.

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 Ayesha's book — pages left over the weekend Ayesha read 5/8 of a book over the weekend. She had 51 pages left to read. How many pages does the book have in total?
All 12 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.