Level 3
Hazel, Olivia and Diana had a total of 767 marbles. The ratio of Olivia's marbles to Diana's marbles was at first 4 : 7. After Hazel and Olivia each gave half of their marbles away, the 3 children had 527 marbles left. How many marbles did Hazel and Diana have at first?

Level 3
A bag of candies was distributed equally among 16 pupils. When 7 of these pupils gave up ³₅ of their share, the rest of the pupils received 14 more candies each. How many candies were there in the bag?

Level 3
In a factory, Machine A was turned on first and it produced 313 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 45 less than ¹₂ of the total number of wontons produced. How many wontons were produced altogether?

Level 3
Tim had 672 coins. ²₇ were pink and the rest were yellow and blue. The ratio of the number of yellow coins to the number of blue coins was 1 : 3. Tim decided to buy some more pink coins to increase the number of pink coins to half of the total number of coins.

1. How many less yellow coins than pink coins did he have at first?
2. How many more pink coins did he have to buy?

Level 3
At a wedding, ⁴₉ of the guests were men and the rest were women. Some men then left the wedding and the remaining number of men were ²₅ of the guests. 44 men then joined the wedding. The number of guests in the end was 12 more than the number of guests at first. How many guests were there at first?

Level 3
Zoe had some yellow stickers and pink stickers in 2 baskets. In Basket A, the ratio of the number of yellow stickers to pink stickers was 6 : 5. In Basket B, the number of yellow stickers was 2 times the number of pink stickers. Zoe transferred ²₅ of the pink stickers from Basket A to Basket B. The number of stickers in Basket A became 144 and the ratio of the number of yellow stickers to pink stickers in Basket B became 6 : 7.

1. How many pink stickers were transferred from Basket A to Basket B?
2. What was the number of stickers in Basket B after the transfer?

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
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.

Level 3
Olivia, Natalie and Kate have 264 marbles. Natalie has ⁷₉ as many marbles as Olivia. Kate's marbles is ¹₂ of the total number of Olivia's and Natalie's marbles. How many marbles must Natalie give to Kate so that both Olivia and Kate will have the same number of marbles?

Level 3
The average number of mangosteens in Carton C, Carton D and Carton E is 24 and it is 8 more than the average number of papayas in the 3 cartons. ¹₆ of the papayas are in Carton C and the papayas in Carton C is 80% of the number of papayas in Carton D. If each carton has the same number of fruits, what percentage of the fruits in Carton E are mangosteens?

Level 3
Jack, George, Henry and Asher shared $1495. Asher received ³₁₀ of the total amount of money received by Jack, George and Henry. Jack received ³₇ of the total amount for George and Henry. George received ²₃ as much money as Henry. If George gave all his money to Asher, how much did Asher have more than Jack in the end?

Level 3
In a thrift shop, the number of beads was ²₃ of the total number of beads and erasers together. The shopkeeper sold the beads and erasers in sets of 1 bead and 4 erasers. After selling all the erasers, he still had 133 beads left. How many erasers were in the thrift shop at first?

Level 3
There were 229 lemons and soursops in a stall at first. After ¹₅ of the lemons and ¹₂ of the soursops were sold, there were a total of 182 lemons and soursops now. How many lemons are there now?

Level 3
The total number of beads in Basket W, Basket X and Basket Y was 273. ²₉ of the beads from Basket W and 21 beads from Basket X were removed. More beads were then added into Basket Y until the number of beads in it was doubled. The ratio of the number of beads in Basket W to Basket X to Basket Y became 7 : 2 : 2.

1. How many more beads were there in Basket W than Basket X at first?
2. Find the total number of beads in Basket W and Basket Y in the end.

Level 3
Asher has a total of 94 of blue and yellow lollipops. ¹₆ of the blue lollipops and half of the yellow lollipops are new. How many of his yellow lollipops are new if he has a total of 27 new lollipops?

Level 3
Gillian bought ³₅ as many stamps as stickers at first. After she bought another 10 stamps and 29 stickers, there were ⁴₇ as many stamps as stickers. How many stamps and stickers did Gillian buy at first?

Level 3
20% of Nick's savings was $120 more than 30% of Will's savings. After Nick spent ²₃ of his savings and Will spent 40% of his savings, Nick had $13 more than Will. How much was Nick's saving at first?