Level 3
Molly, Nellie and Olivia had a sum of money. The amount of money Molly had was 45 of the amount of money Nellie had. The ratio of the amount of money Nellie had to the total amount of money Olivia and Nellie had was 3: 8. After Olivia gave $15 to Nellie, she had as much money as Nellie. How much more money did Olivia have than Molly in the end?
4 m
Level
Fred had 12 as many erasers as Will. Will had 23 as many erasers as Rachel. After Fred and Rachel gave 12 erasers to Will, Will had four times as many erasers as Fred. Rachel then had the same number of erasers as Will.
  1. What was the ratio of the number of erasers Fred had to the number of erasers Rachel had in the beginning? Answer in simplest form.
  2. How many erasers did Will have in the end?
4 m
Level 3
At first, Xandy, Yoko and Zach had some sweets in the ratio 5 : 3 : 4 respectively. Xandy had 190 sweets. Then he gave all his sweets to Yoko and Zach. After receiving the sweets from Xandy, Yoko and Zach had the same number of sweets. How many sweets did Yoko receive from Xandy?
4 m
Level 3
Container A and Container B had some liquid in the ratio 7 : 5. After 48 litres of liquid was transferred from A to B, the amount of liquid in Container B became 3 times as much as in Container A. How much liquid were there in the two tanks in all?
4 m
Level 3
Amanda and Joe have some books in the ratio 3 : 7. Amanda has 72 less books than Joe. How many books must Joe give to Amanda so that they will have the same number of books?
4 m
Level 3
If Adam gives Bryan 30 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 3 stickers,
the number of stickers that Adam will have is 40% of Bryan's.
  1. How many stickers does Adam have?
  2. How many stickers does Bryan have?
4 m
Level 3
Adam and Bryan have some money in the ratio of 5 : 4
After Adam gives 12 of his money to Bryan,
Bryan has $400 more than Adam in the end.
  1. How much does Bryan have at first?
  2. How much does Adam have in the end?
  3. How much does Adam give to Bryan?
4 m
Level 3
Evelyn bought 50% more hair clips than Linda. Tammy bought 10% fewer hair clips than Evelyn. Evelyn and Linda gave Tammy some hair clips in the ratio 7 : 2. As a result, Tammy had twice as much hair clips as before. Given that Linda had 15 more hair clips than Evelyn in the end, how much hair clips did Evelyn give to Tammy?
5 m
Level 3
Mr Lim had three bags of soil, A, B and C and the mass of each bag of soil was in the ratio 2 : 4 : 3. Mr Lim decided to transfer 30% of soil from Bag A into Bag B and 60% of soil from Bag C into Bag B. Given that the mass of Bag B was 38.4 kg in the end, how many kilograms of soil were transferred into Bag B?
5 m
Level 3
Albert had $2.20 less than Caden. After Albert gave $2.50 to Caden, Caden would have thrice as much money as Albert. How much money had Caden at first?
4 m