Level 3
A bakery baked some kaya, strawberry and milo cupcakes. For every 3 kaya cupcakes that were baked, 2 milo cupcakes were baked. For every 4 kaya cupcakes that were baked, 3 strawberry cupcakes were baked.
  1. Find the ratio of the number of kaya cupcakes to strawberry cupcakes to milo cupcakes baked.
  2. After the bakery baked another 130 milo cupcakes, 30% of the cupcakes now were milo cupcakes. How many kaya cupcakes did the bakery bake?
4 m
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.
4 m
Level 2
Adam and Bryan have 80 stickers.
Adam has 60% as many stickers as Bryan.
  1. How many stickers must Bryan give to Adam so that both will have the same number of stickers?
  2. How many stickers does each of them have in the end?
3 m
Level 3
Three types of pepper, W, X and Y come in containers of 150 g, 300 g and 400 g respectively. Containers of W, X and Y are mixed together in the ratio 1 : 6 : 7 to obtain 38 kg of an assortment of pepper.
  1. How many containers of W and X are used altogether?
  2. Find the difference between the combined weight of all the pepper in containers X and containers Y as compared to the pepper in containers W. Express the weight in kilograms.
4 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
Mr Ken sold some mangosteens, mangoes and lemons. The ratio of the number of mangosteens sold to the total number of fruits sold was 3 : 10. The ratio of the number of mangoes sold to the number of lemons sold was 2 : 19. He sold 110 more lemons than mangosteens. Find the total number of fruits that he sold.
4 m
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
Class 5 Goodness and 5 Love had the same number of students. The ratio of the number of girls in 5 Goodness to the number of girls in 5 Love was 1 : 13. The ratio of the number of boys in 5 Goodness to the number of boys in 5 Love was 7 : 1.
  1. What is the ratio of the number of boys to the number of girls in Class 5 Goodness?
  2. If there were 33 fewer boys than girls in Class 5 Love, how many students were there each class?
4 m
Level 2 PSLE
Joseph has thrice as many 20-cent coins as 50-cent coins. If he has $66 in total, how many 20-cent coins does Joseph have?
3 m
Level 3
The ratio of the amount of money Anna had to the amount of money Belle had was 6 : 7. Anna then gave 56 of her money to Belle. In the end, Belle returned $66 to Anna and they both had the same amount of money. How much money did each girl have at the beginning?
  1. Anna
  2. Belle
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
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?
3 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 2 PSLE
At first, Binbin had 75 dolls and some soft toys. After she gave away 25 dolls and 20% of the soft toys, she had a total of 74 dolls and soft toys. How many soft toys did Binbin have at first?
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
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
Olivia is 20% heavier than Xavier. Dana is 40% lighter than Xavier. Olivia is 12 kg heavier than Dana. What is Xavier's mass?
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