Level 3
Fabian, Gilbert and Henry had some marbles in the ratio of 2 : 3 : 5. Henry gave 40% of his marbles to Fabian and Gilbert. As a result, Fabian had the same number of marbles as Gilbert and Henry had 36 fewer marbles than Fabian.
  1. What was the percentage increase in Fabian's marbles after receiving from Henry?
  2. How many marbles did Gilbert have at first?
4 m
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?
4 m
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?
3 m
Level 3
Rachel had 2060 mℓ more orange juice than Yvonne. After Rachel gave Yvonne 550 mℓ of orange juice, the ratio of Rachel's orange juice to Yvonne's orange juice became 5 : 2. How much orange juice did Rachel have at first? Give your answer in millilitres.
4 m
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?
3 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
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
At a zoo, there were 35 as many adults as children at first. After 46 adults left, there were 116 more children than adults remaining at a zoo. How many adults were at the zoo at first?
3 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
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
Peter is 56 of Ethan's age. In 10 years' time, their total age will be 75. What is the ratio of Ethan's age to Peter's age 12 years from now?
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
Level 3
The ratio of the number of scones to the number of muffins in a bakery was 2 : 3. After 4 scones and 8 muffins were packed into each box, there were a total of 7 scones and 1 muffin left. Find the total number of scones and muffins in the bakery at first.
4 m
Level 3
Fred's father is 7 times as old as his son. His father will be 35 years old in 7 years' time. In how many years' time will Fred be 60% that of his father?
4 m
Level 3
Xavier, Peter, Nick and Sean bought a projector for their aunt. Xavier paid 13 of what the rest paid. Peter paid 15 of what the rest paid. Nick paid 14 of what the rest paid. Sean paid $48 more than Xavier. How much did the projector cost?
3 m
Level 3
Yvonne will be 36 years old in 3 years' time. Now, Tina's age is 23 of Yvonne's age. What was Tina's age when she was 4 years less than 80% of Yvonne's age?
4 m
Level 3
Howard and Sam had some money at first. Howard received 4 times as much money as Sam every fortnight. At the end of 2 fortnights, both of them had the same amount of money. If Sam had $1500 at first and Howard had $1900 at the end of those 2 fortnights, what was the ratio of Howard's money to the total amount of money at first?
4 m
Level 3
$258 is to be divided among a certain number of people. Half of the people received $3 each, 512 of the people received $4 each and the rest received $5 each. How many people are there altogether?
3 m