Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 4 : 5. When 16 fifty-cent coins were taken out and replaced by some twenty-cent coins, the ratio became 8 : 7. The total value of the twenty-cent coins added was the same as the total value of the fifty-cent coins taken out. Find the sum of money in the coin box.

Level 3
Andy, Benjamin and Caleb had a total of 698 cards at first. After a week, the number of Andy's cards became 3 times the number of cards he had at first. The number of Benjamin's cards decreased by 138. Caleb had half as many cards as he had at first. In the end, the three boys had the same number of cards.

1. How many cards did Caleb have at first?
2. What was the total number of cards that the three boys had in the end?

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
Tim's and Natalie's monthly allowances were the same at first. Tim's allowance increased by 50% while Natalie's increased by 20%. Given that Tim's allowance would increase by another 20% if he had received $300 more from his father, find the difference in the children's monthly allowances.

Level 3
Daniel saved some 50-cent coins and $1 notes in his coin box. The total value of the 50-cent coins to the total value of the $1 notes he had was in the ratio 2 : 5. After $14 worth of 50-cent coins and an equal value of $1 notes were added to the coin box, the ratio of the total value of 50-cent coins to the total value of $1 notes became 5 : 9. How many of each type did Daniel have in the end?

1. 50-cent coins?
2. $1 notes?

Level 2
There was 11 ? of water in a pail and 1.8 ? of water in a basin. Warren then poured in an equal volume of water into each container. Now, the volume of water in the pail is 5 times in the basin. How much water did Warren pour into each container?

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
²₅ of the crayons in a bag were red and the rest were blue and yellow. 20% of the blue crayons and 12% of the yellow crayons were thrown away. There was an equal number of blue and yellow crayons left. If there were 352 blue and yellow crayons left,

1. what was the number of red crayons?
2. what was the total number of crayons in the bag at first?

Level 3
The prices of two fruits sold at a supermarket is shown.

Grapes: 2 kg for $12
Bananas: 3 kg for $10

1. Mr Lin bought an equal mass of grapes and bananas and spent $64 more on grapes than on bananas. What was the total mass of fruits that Mr Lin bought?
2. Mrs Shay spent an equal amount of money on grapes and bananas. In terms of their masses, what was the ratio of grapes to the ratio of bananas Mrs Shay bought?

Level 3
Justin and Wesley each had the same volume of water. The water was used to pour into identical bottles. Justin filled up 16 bottles and had 4.8 ℓ of water left. Wesley filled up 8 bottles and had 6.4 ℓ of water left.

1. What was the capacity of each bottle? Give your answer in millilitres.
2. What was the total volume of water Justin and Wesley had at first? Give your answer in litres.

Level 3
Ron and Shawn had 60 sweets each. Ron gave 20% of his sweets to Shawn. After receiving the sweets from Ron, Shawn gave 50% of his total sweets to Tammy. How many sweets had Shawn left?

Level 3
60% of the sweets in Packet A were blueberry sweets and the rest were strawberry sweets. Packet B had 25% more blueberry sweets than packet A and twice as many sweets than the total number of sweets in Packet A. Find the percentage of the strawberry sweets in Packet B that would need to be transferred into Packet A, so that there were an equal number of blueberry and strawberry sweets in Packet A.

Level 3
A laptop costs $360 more than a tablet. 4 such tablets cost as much as 2 handphones. If each handphone costs $720. Find the cost of 3 laptops.

Level 3
Elyse bought some pens. She gave ¹₆ of the pens to her cousin and sold ³₄ of the remaining pens. After that, she bought another 171 pens and had the same number of pens that she bought at first. How many pens did Elyse buy at first?

Level 3
Nicole baked 187 puffs and tarts. She burnt 7 pieces and counted the remaining pieces. ¹₆ of the tarts and ⁵₆ of the puffs were strawberry flavoured. There were equal number of tarts and puffs that were banana flavoured.

1. How many unburnt banana puffs were there?
2. What fraction of the unburnt pastries were strawberry puffs?

Level 3
Andrew, Bryan and Charlie had the same number of marbles. Charlie gave 0.5 of his marbles to Bryan. Then Bryan gave 0.25 of his marbles to Andrew. Finally, after Bryan gave 30 marbles to Charlie, he had the same number of marbles as Charlie. How many marbles did Charlie have at first?

Level 3
Brandon bought 54 more erasers than Liam and Liam bought 15 erasers more than Raeann. The total number of erasers Brandon and Liam bought was 4 times the number of erasers Raeann bought.

1. How many erasers does Brandon need to give Liam so that they have the same number of erasers?
2. How many erasers did all three of them have altogether?