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.
- (a) Who had the most money and who had the least at first?
- (b) How much did Haziq donate?
Show the answerHide the answer
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: 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.
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.
Try one like it
Standard A bicycle's price — the percentage increase A bicycle shop increased the price of a bicycle from $650 to $780. What is the percentage increase?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.