Level 3
The length of Bamboo Pole G is ¹₄ of the length of Bamboo Pole H and the length of Bamboo Pole H is ¹₃ of the length of Bamboo Pole I and ¹₁₀ of the length of Bamboo Pole J. What fraction of the total length of the 4 planks is Bamboo Pole I?

Level 3 PSLE
At a swimathon, each swimmer completed either a 2-km route, a 4-km route or an 5-km route. ¹₅ of the swimmers completed the 2-km route, ⁷₂₀ of the participants completed the 4-km route and the rest completed the 5-km route. For every 1 km a participant swam, $8 was donated to charity. A total of $12960 was donated to charity.

1. What is the ratio of the number of swimmers who completed the 2-km route to the number who completed the 4-km route to the number who completed the 5-km route?
2. What is the total number of swimmers at the swimathon?

Level 3
Pierre had $77.70 more than Henry. After Henry had spent ²₃ of his money, Pierre had $114.50 more than Henry. How much money did Pierre have at first?

Level 3
Jamie had 126 pens. ²₃ of them were blue pens and the rest were red pens. After she had given away some blue pens, the ratio of the number of blue pens to the number of red pens became 4 : 3. How many blue pens did she give away?

Level 3
Two hours ago, a stallholder started his day with some durians and apples in the ratio of 5 : 2. There were 100 apples. Some of the durians were bought by Mrs Olivia. As a result, the number of durians became ³₅ of the apples.

1. How many durians did the stallholder have left?
2. How many durians must the stallholder buy in order to have an equal number of durians and apples?

Level 3
Jade buys a coat, a vest, a sweater and a windbreaker. The average cost of these items is $36. The total cost of the sweater and the windbreaker is ³₅ of the total cost of the coat and the vest. If the coat costs $16.60 and the windbreaker costs $11.50, find the difference in cost between the vest and the sweater.

Level 3
²₃ of Sean's savings comprised of 20-cent coins and 50-cent coins. Sean used some 20-cent coins to purchase a toy. The number of 50-cent coins left was 50% more than the number of 20-cent coins left. Given that Sean had 100 more 50-cent coins than 20-cent coins left in the end, find the amount of money Sean spent on the toy.

Level 3 PSLE
Three girls used the same number of pearls to make necklaces. Dana used ²₅ of her pearls, Esther used ³₄ of hers and Fina used ²₃ of hers. They had a total of 1440 pearls at first. How many pearls did each girl use?

Level 3
Annie had ²₃ as many stamps as Becky. The sum of the number of stamps Annie and Becky had was the same as the number of stamps that Callie had. After trading, Callie gave 20% of her stamps to Annie and received 25% of Becky's stamps. If Becky wanted to increase her number of stamps in the end by 25%, find the ratio of her number of stamps to the sum of Annie's and Callie's stamps in the end.

Level 3 PSLE
Ian had a total of 810 long and short rulers. After selling an equal number of both types, he had ¹₃ of the long rulers and ¹₆ of the short ones left. What was the total number of rulers left?

Level 3
Rael, Henry and Will shared $117. During a shopping trip, Rael spent ¹₆ of his share, Henry spent ¹₅ of his share and Will spent ¹₂ of his share. Given that all three boys each spent the same amount of money, how much more money do Rael and Henry have than Will in the end?

Level 3 PSLE
Blake and Steve ran in a race. When Steve had completed the race, Blake had only run ⁵₈ of the distance. Steve's speed was 75 m/min faster than Blake's speed. Both of them did not change their speeds throughout the race. What was Blake's speed in m/min?

Level 3
Tickets for a theme park were sold at $83 and $117. All the tickets were completely sold out. The amount collected for the $117 tickets was $80145. Given that the number of $117 tickets was ¹₇ of the number of $83 tickets, how much more money was collected from the sales of the $83 ticket than the $117 ticket?

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 PSLE
Tickets for a zoo trip were sold to teachers and pupils at different prices as shown.
Price per ticket:
Teacher $20
Pupil $8
¹₄ of the tickets sold were bought by teachers. The total amount of money collected from the sale of tickets to pupils was $416 more than the total amount collected from the sale of tickets to teachers. How much money was collected from the sale of tickets altogether?

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
Henry had to paint some cartons. On the first day, the number of cartons he painted was 40% of the number of cartons that he had not painted. One week later, he painted another 100 cartons. As a result, the total number of painted cartons became 28 more than ¹₂ of the total number of cartons. How many more cartons were unpainted than painted on the first day?

Level 2
After using ¹₇ of her sugar, Mrs Lim bought another 75 kg of sugar. As a result, Mrs Lim now has ⁹₇ as much sugar as what she had at first. How many kilograms of sugar did Mrs Lim have at first?

Level 3
Clifford had 80% fewer sweets than Ashwin. After Ashwin gave 210 sweets to Clifford, Clifford had ²₃ as many sweets as Ashwin. How many sweets did each of them have in the end?

1. Ashwin
2. Clifford

Level 3
Betty and Eva shared some stickers. Betty had 60% of what Eva had at first. Betty then gave Eva ³₇ of what she had. How many more percent did Eva have than Betty in the end? Correct the answer to 1 decimal place.