Level 3
The figure, not drawn to scale, shows an empty tank measuring 20 cm by 15 cm by 15 cm. Water flows from Tap A at a rate of 300 mℓ per minute and from Tap B at a rate of 180 mℓ per minute. Tower X and Tower Y have a base area of 20 cm2 and 30 cm2 respectively. Water is drained out of the container at a rate of 130 mℓ per minute. Find the height of the water level after 13 minutes.
5 m
Level 3
A rectangular tank measuring 120 cm by 50 cm by 100 cm is 50% filled with water. 10 identical pails of water that are completely filled are then scooped out from it. The water level drops to 45 cm. The remaining amount of water in the tank is later poured into a container that contains 40 litres of water. The water is then drained out through a tap found at the bottom of the container at 10 litres per minute.
  1. What is the capacity of each pail?
  2. How long did it take to drain the water from the container completely? Answer in terms of minutes.
5 m
Level 3
The figure shows 2 tanks, Tank X and Tank Y. Tank X Is completely empty while Tank Y is filled with water to the brim. Water from Tap A flows in at a rate of 1.2 litres per minute while water drains from Tap B at a rate of 0.72 litres per minute. Both taps are turned on at the same time. After some time, the heights of the water level in both tanks became the same.
  1. Find the time taken for the heights of the water level to be the same in both tanks.
  2. Find the height of the water level at that point of time.
5 m
Level 3
Andy and Luke took part in a 24-km marathon. Andy ran half the distance at a speed of 10 km/h and jogged the rest of the way at a speed of 8 km/h. Luke ran half his total time at 12 km/h and jogged the rest of the time at 6 km/h. If they started the marathon at 7.30 a.m., at what time would each of them finish?
  1. Andy
  2. Luke
5 m
Level 2
Jessie wants 200 ribbons of length 110 cm for a party. However, the ribbons were sold at 25 m per tape. How many tapes will Jessie need?
2 m
Level 3
The total price of 6 grapefruits and 4 avocados is the same as that of 10 grapefruits and 3 avocados. Each grapefruit costs $3 less than each avocado. How much does each avocado cost?
3 m
Level 3
Andy has 20-cent coins and 50-cent coins. The total value of all his coins is $24. He has 6 less 20-cent coins than 50-cent coins. How many coins does he have altogether?
3 m
Level 3
Vincent has 5 more 50-cent coins than 10-cent coins. After he used 6 of his 50-cent coins, the value of 50-cent coins is $1.50 more than the value of 10-cent coins. How many coins did he have at first?
3 m
Level 3
The mass of 8 exercise books and 3 guide books is 3.7 kg. The mass of 2 exercise books and 7 guide books is 5.3 kg. Find the mass of each guide book.
4 m
Level 3
There are 151 marbles in a big basket and a small basket altogether. The total number of marbles in 3 big baskets and 8 small baskets is 568. How many more marbles are there in a big basket than a small basket?
4 m