Level 3
The petrol tank of Fred's convertible was 80% empty. He went to the petrol kiosk and topped up 25ℓ of petrol. When he reached the theme park, the petrol tank was 90% full. Given that he used 4ℓ of fuel to get to the theme park from the kiosk, find the capacity of the petrol tank.
3 m
Level 3
Ethan was fixing a jigsaw puzzle. On the second day, the number of pieces he fixed was 50% of the total number of pieces. After another two weeks, he fixed another 148 pieces and was left with 30% of the puzzle unfixed. How many pieces were left unfixed?
3 m
Level 2
Archie has thrice as many buttons as Flynn. How many buttons must Archie give Flynn so that each of them has 40 buttons?
2 m
Level 3 PSLE
Rael, Sam and Fred had 180 stickers altogether. Rael gave 310 of his stickers to Sam and 15 of his stickers to Fred. After that, all three boys had the same number of stickers. What was the difference in the number of stickers between Sam and Fed at first?
3 m
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?
4 m
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.
4 m
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?
4 m
Level 3
The number of boys to the number of girls in Primary 4 Kindness was 4 : 7. The number of boys to the number of girls in Primary 4 Joy was 4 : 7. Both classes had the same number of boys. When 18 girls from Primary 4 Kindness joined Primary 4 Joy, the ratio of the number of boys to the number of girls in Primary 4 Kindness became 2 : 3. Find the total enrolment of both classes.
4 m
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
4 m
Level 3
David, Ethan and Tim have some marbles. The ratios of their marbles are as follows:

David : (David + Ethan + Tim) = 1 : 5
Ethan : (David + Tim) = 1 : 3

Tim has 42 marbles more than Ethan. In the end, Tim gives away all he has to Ethan and David so that both Ethan and David end up with the same number of marbles, how many marbles has Ethan received from Tim?
4 m
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.
4 m
Level 3
Jeanne's school organized a trip to Japan. At first, the ratio of the number of boys to the number of girls who planned to participate in the trip was 7 : 5. On the day of registration, 52 girls decided to withdraw and 52 more boys decided to join in. In the end, the number of girls who participated became 20% of the total participants for the trip. How many more boys than girls would visit Japan in the end?
4 m
Level 3
Sean, Tim, Fred and Mark paid a total of $132 for a souvenir. Mark paid 38 of what the rest paid. Sean paid 20% of what the rest paid. Tim and Fred paid an equal amount of money. How much did Fred pay?
4 m
Level 3
Benny and Nigel both received an allowance from their father. Benny initially received 30% of the money. He then gave Nigel $5, and was left with 13 as much money as Nigel. What was the total amount of money given to the two boys?
4 m
Level 3
Four boys, Vincent, Asher, Oscar and Zane saved some money. Asher's savings was 512 of the total savings of Vincent, Oscar and Zane. Vincent's savings was 20% of the total savings. Oscar's savings was 12 of the total savings of Asher and Zane. If Asher's savings was $10650, how much less was Vincent's savings than the total of the other 3 boys?
4 m
Level 3
Alan, Benjamin and Charles shared a bag of toy blocks. Benjamin took 35 as many toy blocks as Charles. Alan took twice as many toy blocks as the total Benjamin and Charles took. After Alan had given 20 to Benjamin and 4 to Charles, Benjamin gave 5 to Charles. In the end, all three of them had the same number of toy blocks. Find the difference between the number of toy blocks that Alan and Benjamin had at first.
4 m
Level 3
Molly, Nellie and Olivia had a sum of money. The amount of money Molly had was 45 of the amount of money Nellie had. The ratio of the amount of money Nellie had to the total amount of money Olivia and Nellie had was 3: 8. After Olivia gave $15 to Nellie, she had as much money as Nellie. How much more money did Olivia have than Molly in the end?
4 m
Level
Fred had 12 as many erasers as Will. Will had 23 as many erasers as Rachel. After Fred and Rachel gave 12 erasers to Will, Will had four times as many erasers as Fred. Rachel then had the same number of erasers as Will.
  1. What was the ratio of the number of erasers Fred had to the number of erasers Rachel had in the beginning? Answer in simplest form.
  2. How many erasers did Will have in the end?
4 m
Level 3
At first, Xandy, Yoko and Zach had some sweets in the ratio 5 : 3 : 4 respectively. Xandy had 190 sweets. Then he gave all his sweets to Yoko and Zach. After receiving the sweets from Xandy, Yoko and Zach had the same number of sweets. How many sweets did Yoko receive from Xandy?
4 m
Level 3
3 sisters, Tammy, Hazel and Yoko, paid a total of $168 for a gift. Tammy paid 14 of what the rest paid. Hazel paid 16 of what the rest paid. How much did Yoko pay?
3 m