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 each 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 PSLE
Jasmine needs 200 pieces of ribbon, each of length 120 cm, to decorate a hall for a party. Ribbon is sold in rolls of 45 m each. What is the least number of rolls of ribbon that Jasmine needs to buy?
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 total value of 50-cent coins is $1.50 more than the total 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
Level 3
Betty spent $37.80 on an equal number of spoons and plates. If 5 spoons cost $7.20 more than 2 plates while 1 spoon cost as much as 2 plates, how many spoons and plates did she buy?
4 m