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 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
The table shows how much Evelyn saves daily. For each subsequent day, she saves $5 more than the previous day.
  1. How much will Evelyn save on Day 6?
  2. On which day will Evelyn save $80?
  3. How much savings will Evelyn have in total by the day found in part (b)?
4 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
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
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
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
There were some packets and bottles. A packet weighed 3 kg and a bottle weighed 2 kg more. The total weight of the packets was 35 kg heavier than the total weight of the bottles. The number of packets and bottles were in the ratio 5 : 2. What was the total weight of the packets and the bottles?
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
In a bakery, the prices of pastries are listed as follow:
The ratio of the number of scones sold to the number of puffs sold was 4 : 3. The ratio of the number of muffins sold to the number of puffs sold was 8 : 7. The bakery collected $80 more on the sales of muffins than the sales of scones.
  1. How many scones were sold?
  2. How much did the bakery collect from the sales of the pastries?
4 m
Level 2
The average mass of 2 grapefruits and 5 jackfruits is 2.4 kg. The average mass of each jackfruit is 2 kg. The difference in mass between the 2 grapefruits is 90 g. Find the mass of the heavier grapefruit. (Give your answer in kg and g.)
3 m
Level 2
The average weight of 5 students is 42 kg. When the weights of Fred and Cody are included, the average weight becomes 46 kg. Cody is 6 kg lighter than Fred. What is Fred's weight?
3 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 3
Adam has 200 red stickers, blue stickers and green stickers.
40% of the stickers are blue.
30% of the remaining stickers are red.
The rest are green stickers.
  1. How many green stickers are there?
  2. How many less red stickers than blue stickers?
3 m
Level 3
Titus bought some custard and apple pastry puffs in the ratio of 7 : 6. After Titus's classmates ate an equal number of the two types of pastry puffs, there were 35% fewer apple than custard pastry puffs. In the end, there were 165 pastry puffs left. How many pastry puffs of each type were eaten?
4 m
Level 3
Jane's savings is 20% more than Darwin's savings. If Jane's savings is decreased by 20%, their total savings will be $980. How much is Jane's savings?
3 m
Level 3
A list of 13 numbers has an average of 330. When two numbers are deleted from the list, the average of the remaining numbers is 313.
  1. What is the sum of 13 numbers?
  2. What is the bigger number between the two numbers that have been deleted given that the difference between the two numbers is 1?
3 m
Level 2
A blouse costs $4.50 more than a shirt. A skirt costs $15.20 more than the blouse. Jelly bought 5 of each item. She paid $376 for them. How much did she pay for the skirts she bought?
3 m
Level 3
Amanda and Joe have some books in the ratio 3 : 7. Amanda has 72 less books than Joe. How many books must Joe give to Amanda so that they will have the same number of books?
4 m
Level 3
The length of the Rectangle VWXY is 10 13 m. Its breadth is 2 15 m shorter than its length. Find the perimeter of Rectangle VWXY in metres. Express your answer as a mixed number in its simplest form.
3 m