MathBrush
←  All problems

P6 An average is a total

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

Parcels — total 150 kg, average 15 kg

Some parcels have a total mass of 150 kg and an average mass of 15 kg. How many parcels are there?

One step of the worked solution to Parcels — total 150 kg, average 15 kg, drawn in pencil.
6 steps, drawn in pencil

See all 6 steps

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.

I have a code → See a free one like it

65 worked examples are free without a code, two from every pattern. No account, either way.

The pattern behind it: An average is a total

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

In this one. An average is the total shared equally across the items. The real parcels need not all have the same mass.

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.

A PDF, and a note when new solutions go up.