Level 3
Zoe spent $54 on some apples, oranges and grapefruits in the ratio of 1 : 5 : 3. The number of apples was ¹₂ the number of oranges. The ratio of the number of grapefruits to the number of oranges was 3 : 2. The apples were sold at 2 for a dollar.

1. How many fruits did she buy altogether?
2. How much did each orange cost?

Level 3
Ruth spent $84 on some staplers, markers and files. The ratio of the amount of money she spent on the staplers, markers and files was 5 : 8 : 1. The markers were sold at 10 for $4. The number of staplers she bought was ¹₂ the number of markers. The number of files she bought was ³₅ the number of markers. Find the price of 1 stapler.

Level 3
A total of 846 white rulers and violet rulers are in a container. The ratio of white rulers to violet rulers was 1 : 2. Some pink rulers and yellow rulers were put into the container. For every 4 violet rulers that were already in the container, 14 yellow ones were added. Then the final number of white rulers and pink rulers was ¹₂ the final number of violet rulers and yellow rulers. Find the total number of pink and yellow rulers.

Level 3
England and Thailand took part in Youth Games. From England, the ratio of the number of male supporters to the number of female supporters was 1 : 3. From Thailand, the ratio of the number of male supporters to the number of female supporters was 3 : 5. The total number of supporters from England was ²₅ the total number of supporters from Thailand.

1. What was the ratio of the number of male supporters from England to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 1956 male supporters from both countries left, the percentage of all the female supporters became 74%. How many more female supporters from Thailand than England were there at first?

Level 3
Carl had a total of 90 notes. The notes are $10 notes and $5 notes. After he spent 20% of the $10 notes and 60% of the $5 notes on a stereo system, he was left with 4 times as many $5 notes as $10 notes. How much did the stereo system cost?

Level 3
Kate had some fruits at her stall. ³₄ of them were mangosteens, ¹₃ of the remainder were apples and the rest were coconuts. The amounts earned for each mangosteen, each Fuji apple and each coconut sold are $1.50, $3.00 and $4.50 respectively.

The number of mangosteens sold to the number of apples sold to the number of coconuts sold was 3 : 5 : 3. In total, she sold ¹₄ of the fruits and earned $198. How many coconuts did she have at first?

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
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
The ratio of the number of biscuits in Container H to the number of biscuits in Container J was 5 : 3. 20% of the biscuits in Container H and 0.6 of those in Container J were round. After transferring the biscuits between the 2 containers, the number of square biscuits in both containers are the same. Likewise, the number of round biscuits in both containers are the same. If a total of 162 of biscuits were moved, how many more biscuits were there in Container H than Container J at first?

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?

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
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
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
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?

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?

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.

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
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?