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?
4 m
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
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
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
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
Betty had an equal number of $2 and $10 notes. After spending 43 pieces of $10 and 19 pieces of $2 notes, the ratio of the $2 notes to $10 notes left was 5 : 1. Find the value of the notes left.
4 m
Level 3
Fiona had an equal number of $5 and $10 notes. After spending 40 pieces of $10 and 16 pieces of $5 notes, the ratio of the $5 notes to $10 notes left was 4 : 1. Find the value of the notes at first.
4 m
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?
4 m