Level 3
Rael and Ethan had some coins in the ratio of 11 : 6. Ethan and Sean had some coins in the ratio of 2 : 1. Rael sold 112 coins to Sean and ended up with half the number of coins Ethan had. How many coins did Sean have in the end?

Level 3
Andy, Bob and Charles collected game cards in the ratio of 7 : 4 : 9. After Charles gave ³₁₀ to Andy and Bob, Charles had 60 less game cards than Andy. The number of game cards that Ben had increased by 35%. How many game cards did Andy and Charles have?

Level 3
Daniel had to solve some Science questions during a 3-week school holidays. At the end of the first week, the ratio of the number of questions solved to the number of questions unsolved was 3 : 7. At the end of the second week, Daniel solved another 36 questions and the number of unsolved questions became ¹₄ of the total number of questions. How many questions did Daniel need to solve on the third week to complete his assignment?

Level 3
Janet wanted to finish reading a 231-page book by the end of the week. On Monday she read ³₇ of the book and by Friday the ratio of the number of pages read to the total number of pages was 9 : 11. Find the number of pages Janet would need to read during the weekend in order for her to complete the entire book.

Level 3
The line graph shows the number of boys and girls in each sports school.

1. How many pupils were there in Sports School B?
2. How many more girls than boys were there in Sports School C?
3. At the end of the year, an equal number of boys and girls from Sports School D were transferred to Sports School A. The fraction of the number of boys to girls in Sports School A becomes ²₃. Find the total number of boys and girls that were transferred from Sports School D to Sports School A.

Level 3
The line graph shows the total number of cars sold by a car dealer in the first six months of the year.

1. In which two months were there a consecutive increase in the number of cars sold?  Give the answer in short form. (Eg Jan, Feb)
2. What fraction of the cars was sold in the month of the lowest sale? 
3. The car dealer was paid a fixed amount of money for every car he sold. He received $3200 more in April than in February. How much money did he receive from selling a car?

Level 3 PSLE
Allie had a total of 225 pink and blue beads. She used 45 pink beads and 60% of the blue beads. After that, the ratio of the number of pink beads to blue beads Allie had was 1 : 2.

1. What fraction of her blue beads did Allie use? Give your answer in the simplest form.
2. How many beads did Allie have in the end?

Level 3 PSLE
A box contained blue and white beads. At first, the number of blue beads was ¹₃ the number of white beads. After ¹₄ of the blue beads and ⁵₈ of the white beads were used, 75 beads were left.

1. What fraction of the beads were used? Leave your answer in the simplest form.
2. How many beads were there in the box at first?

Level 3
At a fruit stall, 280 mangoes were sold in the morning and ³₅ of the remaining mangoes were sold in the afternoon. As a result, the number of mangoes left became ¹₆ of the total number of mangoes at first. Given that the mangoes were sold at $2.50 in packs of six mangoes, how much did the fruit stall receive from the sale of the mangoes in the afternoon?

Level 3
The ratio of the number of papayas to the number of peaches that a fruit seller had was 5 : 11. After he sold half of the peaches, there were a total of 252 papayas and peaches left at the fruit stall.

1. How many papayas were there at the stall?
2. If he sold the remaining peaches in bags of 6 at $3.50 per bag, how much would he receive for them?

Level 3
The number of red grapes is the same as the number of green grapes in a bag. After removing ¹₄ of the grapes, there were 36 red grapes and 54 green grapes left in the bag. Then another 20 red grapes and 20 green grapes were removed and there were ⁵₁₂ of the grapes left in the end. How many red grapes were removed altogether?

Level 3
Adam and Bryan have some money in the ratio of 5 : 4
After Adam gives ¹₂ of his money to Bryan,
Bryan has $400 more than Adam in the end.

1. How much does Bryan have at first?
2. How much does Adam have in the end?
3. How much does Adam give to Bryan?

Level 3
Adam has some money.
Adam spends $300 on some stickers and
80% of the remainder on some marbles.
In the end, he has ¹₈ of the total amount left.

1. How much does Adam have at first?
2. How much more does Adam spend on marbles than on stickers?

Level 3
Mrs Santos bought 80 eggs. She used 12 eggs to make cupcakes, 34 eggs to make muffins and 18 eggs to make cake.

1. What fraction of her eggs did she use?
2. What fraction of her eggs was left?

Level 3
A total of 700 people participated in a marathon. 225 of the participants ages from 15-25, 184 of them ages from 26-35 , 182 of them ages from 36-45 and the rest of the participants ages from 46-55. What fraction of the participants ages from 46-55?

Level 3
Adam and Bryan have a total of $220.
Adam spends ¹₃ of his money and
Bryan spends $30 of his money.
The ratio of Adam's money to Bryan's money becomes 5 : 2.

1. How much does Bryan have at first?
2. How much does Adam have in the end?

Level 3
Benedict cycled to his bakery with 16 trays of eggs. There were 24 eggs in each tray. He fell on his way and broke ¹₃ of the eggs. He sold ⁵₈ of the good eggs and put the remaining eggs equally into 12 small baskets. How many eggs did he put into each basket?

Level 3
Claire had 16 lollipops. She gave 4 lollipops to her brother and 4 lollipops to her neighbour.

1. What fraction of her lollipops did she give to her brother?
2. What fraction of her lollipops had she left?

Level 3
There were an equal number of boys in Class A and Class B. ³₄ of the pupils in Class A are boys and ¹₇ of the pupils in Class B are girls. Given that there are a total of 12 girls in the two classes, how many pupils are there in Class B?