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P6 An average is a total

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Four parcels — the mean mass

The mean mass of four parcels is 24 kg. Three of the parcels have masses of 19 kg, 26 kg, and 30 kg. Find the mass of the fourth parcel.

One step of the worked solution to Four parcels — the mean mass, 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. A mean is a total shared out equally — so multiply it back by the count to recover the total, then take away the parts you already know.

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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