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
Level 3
At the beginning of the year, the number of members in Club A and Club B were in the ratio 5 : 7. At the end of Term One, some members left Club A to join Club B. The ratio of the number of members in Club A and Club B became 1 : 3. At the middle of Term Two, each club received 54 new members. The ratio of the number of members in Club A and Club B became 2: 3. How many members left Club A to join Club B at the end of Term One?
5 m
Level 3
Ron and Shawn had 60 sweets each. Ron gave 20% of his sweets to Shawn. After receiving the sweets from Ron, Shawn gave 50% of his total sweets to Tammy. How many sweets had Shawn left?
4 m
Level 3
60% of the sweets in Packet A were blueberry sweets and the rest were strawberry sweets. Packet B had 25% more blueberry sweets than packet A and twice as many sweets than the total number of sweets in Packet A. Find the percentage of the strawberry sweets in Packet B that would need to be transferred into Packet A, so that there were an equal number of blueberry and strawberry sweets in Packet A.
4 m
Level 3
Nera and Rose shared a bag of marbles. Nera had 40% as many marbles as Rose. When Rose gave 75 marbles to Nera, Nera had 40% more marbles than Rose. Find the total number of marbles the girls shared.
4 m
Level 3
Andrew, Bryan and Charlie had the same number of marbles. Charlie gave 0.5 of his marbles to Bryan. Then Bryan gave 0.25 of his marbles to Andrew. Finally, after Bryan gave 30 marbles to Charlie, he had the same number of marbles as Charlie. How many marbles did Charlie have at first?
5 m
Level 3
Brandon bought 54 more erasers than Liam and Liam bought 15 erasers more than Raeann. The total number of erasers Brandon and Liam bought was 4 times the number of erasers Raeann bought.
  1. How many erasers does Brandon need to give Liam so that they have the same number of erasers?
  2. How many erasers did all three of them have altogether?
4 m
Level 3
Ryan had $200 more than Riordan at first. Ryan gave $70 to Riordan. As a result, Riordan has 56 as much money as Ryan. How much money had each of them at first?
  1. Ryan
  2. Riordan
4 m
Level 3
Yesterday, Ivan had 56 more marbles than Daniel. Today, Ivan gave Daniel 58 of his marbles. As a result, he has half as many marbles as Daniel now. How many marbles did Ivan have yesterday?
4 m
Level 3
Fanny and Gillian collected some stamps. If Fanny gave Gillian 52 stamps, both would have an equal number of stamps. If Gillian gave Fanny 40 stamps, Fanny would have 5 times as many stamps as Gillian. Find the number of stamps each of them had.
  1. Fanny?
  2. Gillian?
4 m
Level 3
Melanie, Oprah and Andy shared $4590 among themselves. Oprah and Andy shared 49 of the money equally. After Oprah gave away some of her money to Melanie, Andy had 3 times as much money as Oprah. How much money did Oprah give to Melanie?
5 m