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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?
5 m
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?
5 m
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?
4 m
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?
5 m
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?
5 m
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?
4 m
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.
4 m
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?
4 m
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?
4 m
Level 3
There were 286 students in a school. On the school anniversary, 56 of the girls and 45 of the boys came in green caps. The rest came in yellow caps. The number of boys who wore yellow caps was four times of the girls who wore yellow caps. How many students were in green caps that day?
4 m
Level
Box A and Box B are identical. 78 of Box A and 35 of Box B are filled with sand. The mass of Box B with its contents is 79 the mass of Box A with its contents. The total mass of the two boxes with their contents is 528 kg. Find the mass of an empty box.
4 m
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.
5 m
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?
4 m
Level 3
Zoe, Fanny, Eric and Olivia shared some pens. Zoe and Fanny took 15 of the total number of pens while Eric and Olivia took the rest. Fanny had four times as many pens as Zoe and Olivia had 176 pens. Given that Eric had four times as many pens as Fanny, how many pens were there altogether?
4 m
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?
5 m
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?
4 m
Level 3
At a carnival, the children were put into two groups. 45 of Group F were boys and 23 of Group G were girls. Group G had twice as many children as Group F. There were 18 fewer boys in Group F than Group G.
  1. What fraction of the total number of children at the carnival were boys? Give your answer in the simplest form.
  2. What was the total number of children at the carnival?
4 m
Level 3
Mr Zane had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall W and the ratio of avocados to papayas was 2 : 3. When he reached Stall X, he unloaded 56 of the papayas and some avocados from his vehicle. The ratio of avocados to papayas became 4 : 5. At Stall Y, 124 avocados and 26 papayas were collected and the number of avocados to papayas became the same.
  1. How many fruits were there on his vehicle after visiting Stall Y?
  2. How many avocados were delivered to Stall X?
5 m
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?
4 m
Level 3
Glen, Ken, Jenson and Justin shared 105 stickers. Jenson received 15 of the stickers. Glen received 16 of the total amount of stickers received by Ken and Justin. Justin received four times as much stickers as Ken.
  1. How many stickers did Glen receive?
  2. How many more stickers did Jenson receive than Ken?
4 m