MathBrush
←  All problems

Question P6 Units and parts

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

PSLE 2024 — Devi eric haziq

Devi, Eric and Haziq had a total of $1560 at first. Devi donated of her money, Eric donated of his money and Haziq donated of his money. Devi and Eric donated the same amount. Haziq donated 3 times as much as Eric.

  1. (a) Who had the most money and who had the least at first?
  2. (b) How much did Haziq donate?

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.

About this method

Units and parts

Cut one amount into equal shares. One number tells you what a share is worth.

In this one. The three donations are stated only in terms of each other, so make the donation the unit rather than the money — each person's money then reads straight off their own fraction (4u, 3½u, 7½u), and the 15 units are the $1560.

In allone share

How to spot it

A single amount is split by a ratio, a fraction or a percentage. One extra number gives you the leftover, the difference, or the value of one share.

Common mistake

Children match the given number to the wrong number of shares, using the whole bar when the number covers only the leftover or the difference between two people's shares.

Practise a similar question

Standard A bicycle shop increased the price of a bicycle from $650 to $780. What is the percentage increase?
All 16 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.