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P6 An average is a total

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

Ahmad's walk to school and back

Ahmad walks from home to school at 5 km/h and returns at 4 km/h. If the school is 2 km away, what is his average speed for the whole journey?

One step of the worked solution to Ahmad's walk to school and back, drawn in pencil.
10 steps, drawn in pencil

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The pattern behind it: An average is a total

Turn the average back into a total before doing anything with it.

In this one. Average speed is total distance ÷ total time, never the average of the two speeds — the slower leg takes longer, so it counts for more.

What you are given5 children, average 6each6 sweets each — an average, so nothing can be added yetWhat you work withtotal = 5 × 6 = 30the total30 sweets — this can be split and added

How to spot it

The word 'average' appears alongside a group being split into two parts, or two separate journeys or trips being combined into one overall figure.

Common mistake

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.

Try one like it

Standard A bakery's week — average daily sales A bakery recorded its sales over 5 days: $42, $48, $55, $51 and $44. What was the average daily sales amount over the 5 days?
All 23 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.

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