Level 3
Lani was travelling from Point X to Point Y at a constant speed of 80 km/h. After 2 hours, she passed a bus coming from the opposite direction. Lani travelled another 160 km to reach Point Y. At this point, the bus was still 50 km from Point X. What is the average speed of the bus?
3 m
Level 3
Mrs Tan left home at 9 a.m. and drove towards the city. 1 13 hour later, Mrs Tan left the house and drove at an average speed of 100 km/h towards the city. When Mrs Tan reached his destination at 1 p.m., Mrs Tan was 20 km away from the city. Find Mrs Tan's average speed in km/h. Express the answer in mixed number.
3 m
Level 3
John can paint a house in 8 days. Alex can paint the same house in 10 days. How many days would they take to paint the house together?
4 m
Level 3
Joshua placed a toy in an empty rectangular tank 150 cm long and 50 cm wide. He then filled the tank with water flowing from a tap at a rate of 5 ℓ per minute. It took 3 minutes to fill the tank to a depth of 6.5 cm to cover the toy completely. Find the volume of the toy. Express your answer in cm3.
4 m
Level 3 PSLE
When Jen started jogging from her home, Lynn was 1.3 km ahead. Jen jogged at 8 km/h and Lynn jogged at 6 km/h. They went in the same direction and did not change their speeds throughout.
  1. How far did Jen jog in 45 minutes?
  2. Who was ahead after 45 minutes? How far apart were they? Give your answers in this format. (Eg Ben, 1.2 km)
3 m
Level 3
The figure not drawn to scale shows a cubical tank which is 37 filled with water.
  1. What is the volume of water needed to fill up the tank to the brim?
  2. Water is added to the tank at a rate of 12 litres per minute. At this rate, how long will it take to fill the tank completely? Give your answer in this format. (Eg 1 h 20 min)
4 m
Level 3
Tank L is a cubical container of edge 28 cm. It is completely filled with water. Tank M is a rectangular tank measuring 54 cm by 24 cm by 25 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 5 minutes later, the tap is turned off.
  1. Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
  2. All the water in Tank L is then poured into Tank M without spilling. How much more water is needed to fill Tank M completely? Give your answer in litres.
4 m
Level 3
Angela and Brian drove off together from Building A to Building B at average speeds of 85 km/h and 65 km/h respectively. How far apart would they be after 12 hours 15 minutes?
3 m
Level 3
A cubical tank of edge 30 cm contained some water to a height of 12 cm.
  1. Find the volume of water in the tank at first.
  2. A tap was then turned on for 20 minutes to fill the tank with water at a rate of 0.6 ℓ per minute. How much more water was needed to fill the tank to the brim when the tap was turned off? Leave your answer in litres.
4 m
Level 3
Ben drove at an average speed of 84 km/h for 45 minutes. He then reduced his average speed by 6 km/h and drove a further 30 minutes before he reached his house. Find the total distance covered by Ben.
3 m