Level 3
Beryl has 2 containers. A and B of different capacities. If Container A is filled by a tap at a rate of 3 litres per minute and Container B is filled by a tap at a rate of 5 litres per minute, when Container A is completely filled, 5 litres of water flowed out from Container B. If Container A is filled by a tap at a rate of 4 litres per minute and Container B is filled by a tap at a rate of 3 litres per minute, when Container A is completely filled, Container B is only half-filled. What is the capacity of Container B?
3 m
Level 3
2 p - 3 u = 8
3 p - 2 u = 22

Find the following values.
  1. 1 u
  2. 1 p
3 m
Level 3
7 p - 5 u = 45
2 p - 3 u = 5

Find the following values.
  1. 1 u
  2. 1 p
3 m
Level 3
The ratio of the number of blue stickers to red stickers is 5 : 2.
After Adam buys another 10 blue stickers and 20 red stickers,
the ratio becomes of the number of blue stickers to red stickers is 7 : 6.
How many stickers does Adam have now?
3 m
Level 2
3 A + 3 B = 15
5 A + 3 B = 21

Fill in the blanks.
  1. 2 A = _____
  2. 1 A =_____
  3. 1 B = _____
3 m
Level 3
The ratio of the number of blue stickers to red stickers is 5 : 2.
After Adam gives away 10 blue stickers and gives away 20 red stickers,
the ratio becomes of the number of blue stickers to red stickers is 9 : 2.
How many stickers does Adam have now?
3 m
Level 3
3 A + 2 B = 13
4 A + 3 B = 18

Fill in the blanks.
  1. 1 A + 1 B = _____
  2. 1 A = _____
  3. 1 B = _____
3 m
Level 3
The ratio of the number of blue stickers to red stickers is 5 : 2.
After Adam buys another 20 red stickers and gives away 10 blue stickers,
the ratio becomes of the number of blue stickers to red stickers is 3 : 2.
How many stickers does Adam have now?
3 m
Level 3
3 A + 2 B = 13
4 A + 3 B = 18

Fill in the blanks.
  1. 1 A = _____
  2. 1 B = _____
  3. 2 A + 5 B = _____
4 m
Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 2 : 5.
When 10 fifty-cent coins are taken out and
exchanged with some twenty-cent coins of the same value,
the ratio became 8 : 9.
Find the sum of money in the coin box in dollars.
3 m