Today’s problem — free all day, every step. Every day has one.
Priya cycles from her house to the library at 12 km/h and cycles back home at 8 km/h. The library is 24 km away. What is her average speed for the whole trip?
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MathBrush is being tested with a few parent groups, and every solution on the site is open to them — one household, all children. If you were given a code, it goes in once and this device remembers it.
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65 worked examples are free without a code, two from every pattern. No account, either way.
Turn the average back into a total before doing anything with it.
In this one. Average speed is total distance divided by total time, not the average of the two speeds, because the slower return leg takes longer.
The word 'average' appears alongside a group being split into two parts, or two separate journeys or trips being combined into one overall figure.
Children average two averages directly, such as averaging two speeds or two group averages, without weighting by how many, or how long, each part actually covers.
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.