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?

Level 3
Xavier, Peter, Nick and Sean bought a projector for their aunt. Xavier paid ¹₃ of what the rest paid. Peter paid ¹₅ of what the rest paid. Nick paid ¹₄ of what the rest paid. Sean paid $48 more than Xavier. How much did the projector cost?

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?

Level 3
$258 is to be divided among a certain number of people. Half of the people received $3 each, ⁵₁₂ of the people received $4 each and the rest received $5 each. How many people are there altogether?

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?

Level 3
Tank E contained 4 times as many guppies as Tank F. When 10% of the guppies in Tank E and 10% of the guppies in Tank F were transferred to Tank G, Tank G had 120 guppies, which was 20% more guppies than before. How many less guppies were there in Tank F than Tank E in the end?

Level 3
Yvonne and Anna have some pens. If Yvonne gives 45 pens to Anna, Anna will have 4 times the number of pens as Yvonne. If Anna gives 104 pens to Yvonne, Yvonne will have ¹₃ as many pens as Anna. How many pens does Yvonne have at first?

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

Level 3
Tim had 40% more muffins than Rael. Tim gave 20% of his muffins to Rael. Rael in return gave 50% of his muffins to Tim. In the end, Rael had 448 less muffins than Tim. How many muffins did Tim have at first?

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?

Level 3
Hazel had $300 more than Wendy. Hazel gave ³₅ of her money to Wendy. Wendy then gave 25% of her money to Hazel. In the end, Wendy had $186 more than Hazel. How much did Hazel have at first?

Level 3
Kate had $280 more than Natalie. Kate gave ³₅ of her money to Natalie. Natalie then gave 25% of her money to Kate. In the end, Kate had $146 less than Natalie. How much did Kate have at first?

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?

Level 3
A convenience store sold crabstick, salmon and egg mayo sandwiches. The ratio of the number of crabstick sandwiches made to the total number of sandwiches made was 3 : 7. The ratio of the number of salmon sandwiches made to the total number of sandwiches made was 1 : 5. After the store sold some crabstick sandwiches and made another 42 salmon sandwiches, there was an equal number of crabstick, salmon and egg mayo sandwiches left. Find the number of crabstick sandwiches sold.

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?

Level 3
Oscar, Ethan and Fred had some balls. Ethan had 40% more balls than Oscar. Ethan had ³₅ of Fred's. After Oscar gave 18 balls to Ethan, he had ¹₂ of what Ethan had. How many more balls did Fred have than Ethan in the end?

Level 3
In a shop, the number of cartons of mangosteen juice sold was ¹₅ the number of cartons left. When 42 more cartons were sold, the total number of cartons sold was 28 less than ⁸₁₃ the number of cartons the shop had at first. How many cartons were there at first?

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.

Level 3
Xuan, Penny, Kate and Violet went to buy a gift for their grandmother. They shared the cost equally among themselves. However, Violet forgot to bring her money. So, the other 3 girls paid for the gift first. Kate paid ³₅ of the amount Xuan and Penny paid. Penny paid $11 more than Xuan. The next day, Violet returned $76 to Kate and some money to Xuan and Penny. How much did Violet return to

1. Xuan?
2. Penny?

Level 3
Olivia, Zoe, Betty and Natalie received a sum of money. Olivia received ³₈ of the total amount of money Zoe, Betty and Natalie received. Zoe received ¹₇ of the total amount of money Betty and Natalie received. Betty received ¹₃ as much money as Natalie. If Olivia received $275 more than Betty, find the total sum of money the 4 girls received.