Question:

Level 2

The figure shows two containers, Tank 1 and Tank 2. They each have the same amount of water but with different objects placed in them. The total volumes in Tank A and Tank B are 170 mℓ and 280 mℓ respectively. Find the volume of the water in each container.

The figure shows two containers, Tank 1 and Tank 2. They each have the same amount of water but with different objects placed in them. The total volumes in Tank A and Tank B are 170 mℓ and 280 mℓ respectively. Find the volume of the water in each container.

2 m

Level 2 PSLE

The graph shows the mass of a cup when empty and when different combinations of objects A, Band C are placed in the cup.

The graph shows the mass of a cup when empty and when different combinations of objects A, Band C are placed in the cup.

- What is the mass of the empty cup?
- What is the average mass of the objects A, Band C?

2 m

Level 2

The perimeter of the triangle WXY is 30 cm. Given that YW = 13 cm, WX = 12 cm, RY = PY and PX = QX, find the radius of the circle.

The perimeter of the triangle WXY is 30 cm. Given that YW = 13 cm, WX = 12 cm, RY = PY and PX = QX, find the radius of the circle.

2 m

Level 3

The mass of 4 children, Mandy, Nellie, Peter and Richie were taken. Only 3 children can be weighed at one time. Mandy, Nellie and Peter weighed a total of 55 kg. Nellie, Peter and Richie weighed a total of 56 kg. Mandy, Peter and Richie weighed a total of 57 kg. Mandy, Nellie, and Richie weighed a total of 60 kg. What is the average mass of the 4 children?

3 m
The mass of 4 children, Mandy, Nellie, Peter and Richie were taken. Only 3 children can be weighed at one time. Mandy, Nellie and Peter weighed a total of 55 kg. Nellie, Peter and Richie weighed a total of 56 kg. Mandy, Peter and Richie weighed a total of 57 kg. Mandy, Nellie, and Richie weighed a total of 60 kg. What is the average mass of the 4 children?

Level 3

Vincent and George had 852 notebooks together. Vincent had 210 more notebooks than George. Both of them sold some of their notebooks. George sold 20% less notebooks than what Vincent sold. In the end, George had half as many notebooks left as Vincent. How many notebooks had Vincent left?

4 m
Vincent and George had 852 notebooks together. Vincent had 210 more notebooks than George. Both of them sold some of their notebooks. George sold 20% less notebooks than what Vincent sold. In the end, George had half as many notebooks left as Vincent. How many notebooks had Vincent left?

Level 3

A crate filled with 35 mangosteens has a mass of 16.4 kg. The same crate when filled with 15 durians has a mass of 3.64 kg. The mass of 1 mangosteen is twice the mass of 1 durian. Find the mass of the crate when it is empty. Express the answer in g.

5 m
A crate filled with 35 mangosteens has a mass of 16.4 kg. The same crate when filled with 15 durians has a mass of 3.64 kg. The mass of 1 mangosteen is twice the mass of 1 durian. Find the mass of the crate when it is empty. Express the answer in g.

Level 3

A briefcase with 5 magazines in it has a mass of 2.58 kg. When 6 more magazines and 22 guide books are added, the mass becomes 4.28 kg. Each magazine has a mass 2 times as much as each guide book. Find the mass of the briefcase when it is empty. Express the answer in kg.

5 m
A briefcase with 5 magazines in it has a mass of 2.58 kg. When 6 more magazines and 22 guide books are added, the mass becomes 4.28 kg. Each magazine has a mass 2 times as much as each guide book. Find the mass of the briefcase when it is empty. Express the answer in kg.

Level 3

A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?

4 m
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?

Level 3

John spent^{3}_{7} of his salary and gave $880 to his wife. Of the remaining amount, he saved ^{1}_{5} of it and gave ^{3}_{10} of it to his parents. He then donated ^{2}_{3} of what he had left away and gave the remaining $56 to his daughter. What was John's salary?

4 m
John spent

Level 3

Mrs Lu had a total of 520 purple and yellow lilies in the ratio of 8 : 5. After she had given away 6 times as many purple lilies as yellow lilies, the number of purple and yellow lilies left was in the ratio of 10 : 9. How many more purple lilies than yellow lilies did she give away?

5 m
Mrs Lu had a total of 520 purple and yellow lilies in the ratio of 8 : 5. After she had given away 6 times as many purple lilies as yellow lilies, the number of purple and yellow lilies left was in the ratio of 10 : 9. How many more purple lilies than yellow lilies did she give away?