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.
3 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
35 of a rectangular tank with a base area of 800 cm2 is filled with water. Another 2.4 ℓ of water are needed to fill this tank to its brim. What is the height of the water in the tank?
3 m
Level 3
The table shows the time taken by 4 participants in a race. All the times recorded are in whole numbers. Some of the time recorded were blocked by an ink drop. The average time taken by the 4 participants was 60 seconds. The difference between the time taken by Gabriel and Owen was 2 seconds. Find the shortest possible time taken by Fred.
3 m
Level 3
A rectangular tank is filled with water to a height of 4 cm. Its rectangular base measures 25 cm by 8 cm. When 12 litres of water are poured into the tank, the water level rises to 25 of the height of the tank. Find the height of the tank.
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
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.
4 m
Level 3
Adam has some blue stickers and red stickers.
The number of blue stickers is increased by 20% to 60.
The number of red stickers is increased by 30% to 65.
  1. How many stickers are there at first?
  2. How many stickers are there in the end?
3 m
Level 3
A tank with a square base of 10 cm was 13 filled with water After another 4500 cm3 of water was poured into the tank, it became 34 full.
  1. Find the capacity of the tank in litres.
  2. Find the final height of the water in the tank.
3 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 3
Sam and Bryan are asked to give out the same number of leaflets. Sam can give out the leaflets in 9 hours while Bryan can give out the leaflets in 6 hours. Both workers started giving out the leaflets at the same time for 5 hours. After 5 hours, Sam gave out 180 leaflets. How many leaflets can Bryan give out in 5 hours?
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 2
10 poles are placed at equal distance apart on a straight line. The distance between the first and last pole is 396 m. What is the distance between the third and eighth pole?
2 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
Adam has some blue stickers and red stickers.
The number of blue stickers is decreased by 20% to 160.
The number of red stickers is decreased by 30% to 70.
  1. How many stickers are there at first?
  2. How many stickers are there in the end?
3 m
Level 3
Tank A was 15 filled with water. After 15000 cm3 of water was added to Tank A, it became 710 full.
  1. Find the volume of Tank A in litres.
  2. Find the volume of water in Tank A in the end. Give your answer in litres.
3 m
Level 3
Adam has some blue stickers and red stickers.
The number of blue stickers is increased by 20% to 60.
The number of red stickers is decreased by 30% to 70.
  1. How many stickers are there at first?
  2. How many stickers are there in the end?
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 2
6 similar tables with a length of 50 cm each, are placed from one end to the other end of a corridor at an equal distance apart, as shown in the figure. The total length of the walkway is 900 cm. What is the spacing between each table?
2 m