Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?
3 m
Level 3
Water flows into a tank at the rate of 45 ℓ per minute. After 10 min, the tap is turned off and the tank is 0.6 filled with water.
  1. How much more water is needed to fill it to the brim?
  2. The water in the tank is then poured into containers each 1.5 m long, 0.3 m wide and 10 cm high. What is the minimum number of containers needed?
4 m
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 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 sports shop had 300 ping-pong balls for sale. Each ping-pong ball is sold at $2. At the end of each day, the number of ping-pong balls was recorded in the bar graph shown.
  1. What fraction of the total number of ping-pong balls was left at the end of Day 3? Express your answer in its simplest form.
  2. If the shop decided to sell every 5 ping-pong balls at $9.30 from Day 4 onwards, how much less would it collect from the sale of the ping-pong balls?
4 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
How many more rectangles than triangles are there in Figure 100?
4 m