MathBrush
←  All problems

Question P4–P5–P6 Branching

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

Ali's stickers — shared with Ben and Carol

Ali gave of his stickers to Ben and of the remainder to Carol. If Ali had 90 stickers at first, how many did Carol receive?

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 the free ones

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

About this method

Branching

The second fraction is of one piece, not of the whole.

In this one. Cut the whole into 6 units so that both fractions land on unit lines: the remainder is then 5 units, and 2/5 of 5 units is exactly 2 units — which is 2/5 × 5/6 = 1/3 of the whole.

All of it$81books4/9 → $36the rest5/9 → $45a game1/3 of $45 = $15left$30

How to spot it

A second fraction arrives after the first and is attached to a piece rather than to the whole — 'of the remainder', 'of what was left', or 'of the ones that were red'.

Common mistake

Children take the second fraction of the original total instead of the piece it was named against, which makes the amount come out too big.

Practise a similar question

Standard Mr Ong earns $1200 a month. He spent 1/2 of it on rent and 1/3 of the remainder on groceries. How much money did he have left?
All 3 with this pattern →
Get the free patterns and skills booklet

Patterns and skills booklet

Worked examples of all 33 patterns and skills, in a booklet you can print.