Level 3
Mrs Yap had 40% more books than Mdm Zhang. Miss Lin had 20% fewer books than Mrs Yap. Mrs Yap and Mdm Zhang gave Miss Lin some books in the ratio of 1 : 4. As a result, Miss Lin had 50% more books than before. Given that Miss Lin had 423 more books than Mdm Zhang in the end, how many books did Mrs Yap give to Miss Lin?
5 m
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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
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
Sarah bought a total of 300 big and small candies. Then she decided to exchange 60% of her big candies for the small ones in the ratio of 3 : 5. After the exchange, she had 366 candies. What percentage of the candies she bought were small ones?
5 m
Level 3
The number of 20-cent coins in a basket was 100% more than the number of 10-cent coins. 13 twenty-cent coins were taken out and exchanged for 10-cent coins. The number of 20-cent coins became 58 less than the number of 10-cent coins. How much money is there in the basket?
5 m
Level 3
Vincent has some 20-cent coins and 50-cent coins which amount to more than $20 but less than $54. The number of 20-cent coins is 14 of all the coins he has. When he exchanges some 50-cent coins for 20-cent coins, the ratio of the number of 50-cent coins to 20-cent coins he now has become 1 : 6.
  1. What is the largest possible amount of money Vincent has?
  2. What is the total value of 50-cent coins that has been exchanged for 20-cent coins? Express the answer to 2 decimal place.
5 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
A store had 390 story books. There were Chinese, Malay and English story books in the ratio of 4 : 3 : 6. When the store assistant brought in another 60 new story books, the number of Chinese story books was increased by 20% and the number of Malay story books was increased by 110.
  1. What was the number of English story books that the store assistant brought in?
  2. What was the percentage increase in the number of English story books?
5 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
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
Wendy had $779 more than Hazel. Wendy spent 0.6 of her money and Hazel spent 50% of her money. In the end, Wendy and Hazel had the same amount of money left. Find the amount of money that Wendy had in the end.
5 m
Level 3
A store owner had 130 more oranges than lemons. After he sold 80% of the oranges and 30% of the lemons, he was left 19 more lemons than oranges. What fraction of the fruits left were lemons?
5 m
Level 3
Yvonne and George collect pens and stickers. George has 70 more stickers than pens. George has 3 times the number of pens Yvonne has, and Yvonne has 40% more stickers than George. After Yvonne gives George all of her pens and George gives Yvonne 60% of his stickers, George has 64 more pens than stickers. Find the number of stickers Yvonne has at first.
5 m
Level 3
Auntie Zoe baked 45 more strawberry cookies than cheese cookies. After she gave 13 of the strawberry cookies and 0.4 of the cheese cookies to Hazel, she was left with 119 fewer cheese cookies than strawberry cookies. How many cookies did she bake?
5 m
Level 3
At the bird park were some adults. 12 of the number of tourists was equal to 2 times the number of locals. When another 19 tourists entered and 51 tourists left, the ratio of the number of tourists to the number of locals become 7 : 2. Find the number of tourists at the bird park at first.
5 m
Level 3
Mr Yap bought some pizzas for a group of pupils. There is an equal number of girls and boys. The girls received 5 times as many pizzas as the boys. Each boy ate 13 of a pizza and the boys finished all the pizzas given to them. Each girl ate 16 of a pizza and the girls had 18 12 pizzas left. How many pizzas did Mr Yap buy?
5 m
Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
  1. Find the ratio of male speakers to male participants at the conference at first.
  2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
5 m
Level 3
A stationery booth sells markers in packs of 4 and 5. At first, there were 4 times as many packs of 4 as packs of 5. After selling half of the packs of 4 and some packs of 5, Mr Zhang packs 15 additional packs of 5. How many packs of 4 are sold if there are 6 times as many packs of 4 as packs of 5 and there is a total of 348 unsold markers?
5 m