Level 3
A coach drove from Town A at 13 05 to go to Town B. After driving for 4 h 45 min, the coach broke down and needed to stop for 1 14 h for repairs. Upon completion of the repairs, the coach continued its journey for another 2 h 42 min to reach Town B. At what time did the coach reach Town B?
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.
Level 3
The table shows the time taken by some men to complete the night marathon. William completed the race in 56 of the time taken by Stephen. If Nicholas reached the finishing line at 01 45, what time did William cross the finishing line? Leave your answer in 24-hour clock.
Level 3
The table shows the time taken by some men to complete the night marathon. William completed the race in 56 of the time taken by Stephen. If Nicholas reached the finishing line at 01 45, what time did William cross the finishing line? Leave your answer in 24-hour clock.
Level 2
In the figure, a fish tank measuring 42 cm by 25 cm by 28 cm was filled with water to its brim. Then, 10.08 ℓ of water was removed from the fish tank. Find the volume of water left in the tank. Express your answer in ℓ.
Level 2
In the figure, a fish tank measuring 42 cm by 25 cm by 28 cm was filled with water to its brim. Then, 10.08 ℓ of water was removed from the fish tank. Find the volume of water left in the tank. Express your answer in ℓ.
Level 3
The figure not drawn to scale shows a cubical tank which is 37 filled with water.
What is the volume of water needed to fill up the tank to the brim?
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)
Level 3
The figure not drawn to scale shows a cubical tank which is 37 filled with water.
What is the volume of water needed to fill up the tank to the brim?
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)
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.
How far did Jen jog in 45 minutes?
Who was ahead after 45 minutes? How far apart were they? Give your answers in this format. (Eg Ben, 1.2 km)
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?
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.
Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
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.
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.
Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
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.
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.
Level 3
A large cubical container of side 60 cm was filled with fruit juice up to 30% of its capacity. After 5 full jugs of fruit juice were removed from it, the level of fruit juice in the container dropped by 14 cm. The remaining fruit juice was then drained out through a tap found at the bottom of the container at a rate of 3 litres per min.
How much fruit juice can each jug hold? Express your answer in mℓ.
How long would it take to completely drain the fruit juice from the container through the tap? Express your answer in min. (1 ℓ = 1000 cm3)
Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?
Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?
Level 3 35 of a rectangular tank with a base area of 800 cm2 is filled with water. Another 2.4 ℓ of water are needed to fill this tank to its brim. What is the height of the water in the tank?
Level 3 The table shows the time taken by 4 participants in a race. All the times recorded are in whole numbers. Some of the time recorded were blocked by an ink drop. The average time taken by the 4 participants was 60 seconds. The difference between the time taken by Gabriel and Owen was 2 seconds. Find the shortest possible time taken by Fred.
Level 3 The table shows the time taken by 4 participants in a race. All the times recorded are in whole numbers. Some of the time recorded were blocked by an ink drop. The average time taken by the 4 participants was 60 seconds. The difference between the time taken by Gabriel and Owen was 2 seconds. Find the shortest possible time taken by Fred.
Level 3
Three types of pepper, W, X and Y come in containers of 150 g, 300 g and 400 g respectively. Containers of W, X and Y are mixed together in the ratio 1 : 6 : 7 to obtain 38 kg of an assortment of pepper.
How many containers of W and X are used altogether?
Find the difference between the combined weight of all the pepper in containers X and containers Y as compared to the pepper in containers W. Express the weight in kilograms.
Level 3
Sam and Ian have a bicycle race. Sam cycles at a speed of 12 km/h. Ian cycles at a speed of 16 km/h. If Ian lets Sam start 40 min before him, how long will Ian take to catch up with Sam?
Level 3 A rectangular tank is filled with water to a height of 4 cm. Its rectangular base measures 25 cm by 8 cm. When 12 litres of water are poured into the tank, the water level rises to 25 of the height of the tank. Find the height of the tank.
Level 2
Poles are placed at equal distances along a street. The distance between any two poles is 90 cm. If the street is 2340 m long, how many poles are needed altogether?
