Level 2
The ratio of Tim's money to Carl's money is 3 : 5. If Carl has $845, how much must he give to Tim so both will have the equal amount of money?
2 m
Level 3
The number of boys and girls in a hall were in the ratio 2 : 7. After 15 boys entered the hall and half the number of girls left the hall, the ratio of the number of boys to girls became 1 : 1. How many children were there in the hall at first?
2 m
Level 2
Olivia and Fiona shared a box of chocolates. Olivia had 72% of the total chocolates. if Olivia gave 66 of her chocolates to Fiona, both would have the same number of chocolates. How many chocolates did Olivia have?
2 m
Level 2
Fill in the blanks in units (Eg 3 u) or unit equations (Eg 1 u + 2).

Adam and Bryan have some stickers.
When Bryan uses 13 of his stickers and
Adam buys another 20 stickers,
they have the same number of stickers each.

Let the number of stickers that Bryan has in the end be 2 u.
  1. Number of stickers that Adam has in the end = _____
  2. Number of stickers that Bryan has at first = _____
  3. Number of stickers that Adam has at first = _____
  4. Total number of stickers that they have at first = _____
4 m
Level 3
Fill in the blanks in units, decimal units or unit equations. (Eg 3 u OR 1.2 u OR 1 u + 2)
Adam, Bryan and Chris have some stickers.
After Adam's number of stickers is doubled,
Bryan's number of stickers is increased by 10 and
Chris' number of stickers is reduced by 8,
the ratio of the number of stickers of Adam to Bryan to Chris becomes the same.
Let the number of stickers that Adam has in the end be 1 u.

  1. Number of stickers that Adam has at first = _____
  2. Number of stickers that Bryan has at first = _____
  3. Number of stickers that Chris has at first = _____
  4. Total number of stickers that they have at first = _____
4 m
Level 2
May and Dora had $n altogether. After May gave $12 to Dora, each of them had the same amount of money. How much did Dora have at first?
2 m
Level 3
Olivia has 60% as many erasers as Penny. Penny has 180% as many erasers as Kate. If Penny gives 30 erasers to Kate, both will then have an equal number of erasers. Find the average number of erasers the three of them have.
3 m
Level 3
Queenie and Violet collect pens. Queenie gave 50% of her pens to Violet and as a result, Violet's pens increased by 40%. If Queenie has 84 pens left, find the number of pens Violet must give to Queenie in the end so that they have equal number of pens.
3 m
Level 2
Last week, Fred had a total of 334 yellow and red pens. Two weeks later, he sold 23 of all the yellow pens and 82 red pens. Now he has the same number of yellow and red pens. How many pens does he have in the end?
2 m
Level 3
At a fruit stall, there were 399 mangosteens and lemons at first. 34 of the mangosteens and 23 of the lemons were sold. In the end, there were same number of mangosteens and lemons. How many more mangosteens than lemons were sold?
3 m
Level 3
The ratio of Henry's total points to that of Vincent's in a mock test was 6 : 7. In the next mock test, Henry's points increased by 70%. By what percentage must Vincent's points be increased if their total points were to be the same? Round off the answer to the nearest whole number.
3 m
Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to 15 of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.
  1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
  2. How much did Mrs Zhang spend?
4 m
Level 3 PSLE
Rael, Sam and Fred had 180 stickers altogether. Rael gave 310 of his stickers to Sam and 15 of his stickers to Fred. After that, all three boys had the same number of stickers. What was the difference in the number of stickers between Sam and Fed at first?
3 m
Level 3
Two hours ago, a stallholder started his day with some durians and apples in the ratio of 5 : 2. There were 100 apples. Some of the durians were bought by Mrs Olivia. As a result, the number of durians became 35 of the apples.
  1. How many durians did the stallholder have left?
  2. How many durians must the stallholder buy in order to have an equal number of durians and apples?
4 m
Level 3
Fabian, Gilbert and Henry had some marbles in the ratio of 2 : 3 : 5. Henry gave 40% of his marbles to Fabian and Gilbert. As a result, Fabian had the same number of marbles as Gilbert and Henry had 36 fewer marbles than Fabian.
  1. What was the percentage increase in Fabian's marbles after receiving from Henry?
  2. How many marbles did Gilbert have at first?
4 m
Level 3
David, Ethan and Tim have some marbles. The ratios of their marbles are as follows:

David : (David + Ethan + Tim) = 1 : 5
Ethan : (David + Tim) = 1 : 3

Tim has 42 marbles more than Ethan. In the end, Tim gives away all he has to Ethan and David so that both Ethan and David end up with the same number of marbles, how many marbles has Ethan received from Tim?
4 m
Level 3
Howard and Sam had some money at first. Howard received 4 times as much money as Sam every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Sam had $1500 at first and Howard had $1900 at the end of those 2 fortnights, what was the ratio of Howard's money to the total amount of money at first?
4 m
Level 3
Queenie baked 390 cookies and cupcakes. After she gave 0.3 of the cookies and 0.4 of the cupcakes to her friends, she was left with an equal number of cookies and cupcakes. How many cookies had she left?
4 m
Level 3
If Yvonne gives Oscar $27, the amount of money she has will be 25% of his. If Oscar gives Yvonne $12, he will have the same amount of money as her. How much money did each of them have?
(a) Oscar
(b) Yvonne
4 m
Level 3
Lisa and Gillian had a total of 64 beads. Lisa gave 13 of her beads to Gillian. In return, Gillian gave 15 of the total number of beads that she had to Lisa. In the end, each girl had the same number of beads. How many beads did Gillian have at first?
4 m