Level 3
At 9.30 a.m., a bus started travelling at an average speed of 60 km/h. At 11:30 a.m., a van started from the same place travelling on the same road. If the van took 3 hours to catch up with the bus, find the speed of the van.
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
Steven and Ivan started running a 10-km cross-country race together at a speed of 6 km/h and 12 km/h respectively. At the halfway mark, Ivan took a rest until Steven caught up with him. How long did Ivan rest? Express the answer in min.
Level 3
Kenny and Mike started jogging from the same point. Mike started jogging 4 minutes earlier than Kenny. Kenny's jogging speed was 500 m/min and Mike's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
How long did it take for Kenny to catch up with Mike?
What distance would Mike have jogged when Kenny caught up with him? Express your answer in meters.
Level 3
King took 6 hours to drive from Point A to Point B while Jack took 4 hours to drive from Point B to Point A. When they met each other, they were 48 km away from the midpoint of Point A and Point B. What was King's speed?
Level 3
The distance between Parryville Town and Queensland Town was 900 km apart. A car travelled at an average speed of 98 km/h from Parryville Town to Queensland Town. At the same time, a bus travelled at an average speed of 82 km/h from Queensland Town to Parryville Town. How much further did the car travel than the bus when the car met the bus on the way?
Level 2
The average mass of 2 grapefruits and 5 jackfruits is 2.4 kg. The average mass of each jackfruit is 2 kg. The difference in mass between the 2 grapefruits is 90 g. Find the mass of the heavier grapefruit. (Give your answer in kg and g.)
Level 3
Town A and Town B were 420 km apart. At 11.55 a.m., Parry set off from Town A travelling at 80 km/h towards Town B, while Jan set off from Town B travelling towards Town A. They met on their way at 2.55 p.m. Find Jan's average speed.
Level 2
The average weight of 5 students is 42 kg. When the weights of Fred and Cody are included, the average weight becomes 46 kg. Cody is 6 kg lighter than Fred. What is Fred's weight?
Level 3
At 12 p.m., a car left City X for City Y at an average speed of 100 km/h while a bus left City Y for City X at an average speed of 80 km/h. At 4.30 p.m., the two vehicles were 20 km apart. Find the distance between City X and City Y.
Level 3
The average of 12 numbers is 34. If 3 of the numbers are excluded, the average of the remaining numbers is reduced to 29. Find the sum of these 3 numbers.
Level 3
At 10.25 a.m., a car left Town X for Town Y at an average speed of 86 km/h, while a truck left Town Y for Town X at an average speed of 74 km/h. At 3.25 p.m., the two vehicles were 22 km apart. How far apart were the two towns?
Level 3
The average mass of a group of 12 children is 33 kg and the average mass of another group of 18 children is 36 kg. What is the average mass of the two groups of children?
Level 3 PSLE
Sherry and Cindy started cycling at the same time along a 4.5 km track. Both did not change their speeds from start to finish. Sherry cycled at 375 m/min. When she reached the end of the track, Cindy was 720 m behind her. What was Cindy's cycling speed in m/min?
Level 3
Bryan went on a tour with his wife and two children. An average of $799 was spent on each child while an average of $1081 was spent on each adult. On the whole, what was the average amount spent on each person for the trip?
Level 3
City A and City B is 760 km apart. At 09 00, Sunny, travelling at a constant speed, left City A for City B. At the same time, Ron set off from City B for City A at a constant speed which was 9 km/h faster than Sunny. Find Ron's speed if they met at 17 00.
Level 3
Ron jogged while Bella walked from the same place but in opposite directions along a straight road. After 5 hours, they were 30 km apart. Ron's average speed was 1.2 km/h faster than Bella's average speed. What was Bella's average walking speed in km/h? Express the answer in decimal.
Level 3
The average height of a group of 6 girls is 137 cm. When Kathy and Nicole joined the group, the average height increased by 4 cm. What is Kathy and Nicole's total height?
