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P5–P6 The equal concept

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

PSLE 2025 — Ginger and onions

100 g of ginger costs the same as 320 g of onions. It costs $6.20 for 400 g of ginger and 1.2 kg of onions. How much is 100 g of ginger?

One step of the worked solution to PSLE 2025 — Ginger and onions, drawn in pencil.
9 steps, drawn in pencil

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The pattern behind it: The equal concept

The question tells you a part of one pile equals a part of another.

In this one. Ginger and onions are two currencies with a fixed exchange rate — swap the ginger for the onions it is worth, and the whole $6.20 is buying just one thing.

the two shaded parts are the same sizePile Aa third of APile Ba fifth of B

How to spot it

Two different groups each get their own fraction or percentage, and the question links them with 'the same as', 'twice as many as', or a shared cost across different units.

Common mistake

Children compare the two fractions without first relating them to a common whole. A smaller fraction of a larger group can be bigger than a larger fraction of a smaller group.

Try one like it

Standard Files and pens — the cost of 1 pen The total cost of 2 identical files and 1 pen is $19.05. The total cost of 3 such files and 5 such pens is $44.50. Find the cost o…
All 3 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.