Level 3
Fay cycled from View Hill at 09 56 toward Sand Garden while Joy cycled from Sand Garden toward View Hill at the same time. At 10 06, the two cyclists passed each other. 7 minutes later, Fay reached Sand Garden but Joy was 1155 m from View Hill.
  1. At what speed were the two cyclists approaching each other?
  2. Find the distance between Sand Garden and View Hill Park in km.
3 m
Level 3
Rael's age is 25 of his granduncle's. His granduncle will be 63 years old in 8 years' time. In how many years' time will Rael's age be 23 that of his granduncle's?
3 m
Level 3
A black bus left Town A for Town B at the same time when a white bus left Town B to Town A. The average speed of the black bus and the white bus were 56 km/h and 72 km/h respectively. The two buses passed each other at a point 24 km from the midway of the two towns. How far apart are these two towns?
3 m
Level 3 PSLE
Esther and Margi took part in a cycling race. Esther cycled at a speed of 20 km/h. Both of them did not change their speed throughout the race. When Margi covered 12 the distance, Esther was 3.5 km in front of her. Esther reached the finishing line at 10.45 a.m. What time did Margi reach the finishing line?
3 m
Level 3
A bus and a car started travelling from Town A to Town B at the same time. After 5 hours, the car reached Town B while the bus covered only 710 of the journey. The speed of the car was 21 km/h more than the speed of the bus. Find the speed of the bus.
3 m
Level 3
Jen and David started running together along a cross country track. When David completed the track in 40 minutes, Jen had run only 58 of the track. Jen’s average speed was 75 m/min slower than David’s.
  1. How long was the cross country track in m?
  2. Find Jen’s average speed in m/min.
3 m
Level 3 PSLE
Alice and Hilda started jogging from the same point of a 5 km track round a housing estate. They started at the same time but in opposite directions. Alice jogged past Hilda after 2 km. Both of them did not change their speeds throughout. Alice took 30 min to complete one round. What was Hilda's jogging speed in m/min?
3 m
Level 3
At 7 a.m., a black car and a green car left the office and travelled at average speeds in opposite directions round a 25-km route. The black car took 15 minutes to complete each round while the green car took 20 minutes.
  1. Find the speed of the black car.
  2. Find the speed of the green car.
  3. If the 2 cars travelled without any interval of rest, at what time would the 2 cars next meet again at the office?
3 m
Level 3
Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.
  1. Find the distance covered per second by Vivian in m.
  2. Find the distance covered per second by Kyle in m.
  3. When the two cyclists next met again at the starting point, how far would Vivian have covered? Express the answer in km.
3 m
Level 3
Bus X and Bus Y left the same bus station at uniform speeds in the same direction round a 48-km circular route. Bus X took 45 minutes to complete each round while Bus Y took 30 minutes.
  1. How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
  2. How far would Bus X be behind Bus Y after 12 hour?
3 m
Level 3
Ali is b years old. Bill is four times as old as Ali and Calvin is 6 years younger than Bill.
  1. Express Calvin's age in terms of b.
  2. Ali is 10 years old as of now. ln how many years' time will Calvin be 3 times as old as Ali?
4 m
Level 3
Helen and Jomarie started off from the same place and drove at uniform speeds in the same direction round a 40-km circular racing track. Helen completed each round in 40 minutes. Jomarie took 50 minutes to complete each round.
  1. How far would Jomarie be behind Helen after 1 hour?
  2. How long after they started would it take Helen to meet Jomarie for the first time?
3 m
Level 3
Liam had 57 as many 20-cent coins as 1-dollar coins in his piggy bank. Each time, four 20-cent coins and six 1-dollar coins were taken out from the piggy bank. In the end, only seven 20-cent coins and four 1-dollar coins were left in the piggy bank. How many more 1-dollar coins than 20-cent coins were there in the piggy bank at first?
4 m
Level 3
Jane has two clocks. Clock X is 20 minutes slow and Clock Y is 25 minutes fast. What is the time shown on Clock Y?
4 m
Level 3
Jake spent 2 h 20 min on his Science Project. He spent another 45 min on his Computer project.
  1. How much time did he spend on both projects?
  2. How much longer did he spend on his Science project than his Computer project?
4 m
Level 3
Dora took 1 hr 30 min to make a kite. Jenny took 30 minutes less time than Dora while Divine took 20 min longer that Jenny to make a kite. How long did Divine take to make a kite? Express your answer in h and min.
4 m
Level 3
John arrived at the computer room at 9.30 a.m. He did his first activity for 30 min and spent the rest of the time on the second activity. He left the computer room at 11.55 a.m. For how long did he spent working on the second activity in the computer room?
4 m
Level 3
A bakeshop opens every day for the time as shown. How long is the bakeshop open each day?
4 m
Level 3
Jelly and Joana started walking at 5.30 a.m. Jelly walked for 30 min while Joana walked twice as long as Jelly. At what time did Joana finish her walk?
4 m
Level 3 PSLE
Mr Lee used two printers with different printing rates for a printing job. He started Machine A at 10 00 and started Machine B two minutes later. He stopped both machines at 10 05. The graphs show the total number of pages printed by each machine from the start of printing.
  1. How many pages had been printed by Machine A at the time Mr Lee started Machine B?
  2. What was the difference in the number of pages printed by the two machines from 10 00 to 10 05?
  3. Which machine, A or B, has a faster printing rate? What is the difference in the number of pages printed by the machines in one minute? Give your answer in this format. (Eg A, 1)
4 m