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P5 Rate as an amount per unit

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Rate — 75 pages per minute

A printer makes 75 pages per minute. Explain what this rate means.

One step of the worked solution to Rate — 75 pages per minute, drawn in pencil.
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The pattern behind it: Rate as an amount per unit

Say both units aloud, then connect amount, rate and number of units.

In this one. A rate compares two quantities with different units. The word “per” tells what corresponds to one unit.

Amount = rate × units1 hour45 km4 hours180 km

How to spot it

The word 'each' or 'per' next to a ticket, item, or hour marks this. The question asks for a total, or asks for the rate itself.

Common mistake

Children multiply when they should divide, especially when the question gives the total and the number of hours and asks for the rate per hour rather than a bigger total.

Try one like it

Standard Find a rate A vehicle travels 350 km in 5 hours. Find its rate in kilometres per hour.
All 8 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.