Today’s problem — free all day, every step. Every day has one.
Mr Lim baked some muffins to sell. of them were blueberry muffins and the rest were raisin muffins. After selling 90 raisin muffins and of the blueberry muffins, he had of the muffins left. How many muffins did Mr Lim sell?
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The second fraction is of one piece, not of the whole.
In this one. Re-express every share — blueberry left, raisin left, the quarter left — as a fraction of all the muffins, so they sit on one bar and can be added and subtracted; then the given 90 lands on a known fraction of the whole.
A second fraction arrives after the first and is attached to a piece rather than to the whole — 'of the remainder', 'of what was left', or 'of the ones that were red'.
Children take the second fraction of the original total instead of the piece it was named against, which makes the amount come out too big.
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.