Level 3
Shan and Ella started off at the same spot and ran at average speeds round a 3-km circular path. Shan took 15 minutes to complete each round. Ella completed each round in 20 minutes.
  1. How far ahead of Ella would Shan be after 1 minute? Express the answer in metres.
  2. How long would it take Shan to meet Ella for the first time?
  3. How many rounds would Shan have completed by then?
4 m
Level 3
A car-wash machine takes 16 h to wash 1 car. Washing the car by hand takes 14 h longer than the car-wash machine.
  1. Find the time taken to wash 1 car by hand.
  2. Find the total time taken to wash 3 cars by hand. Leave your answer in hours and minutes.
4 m
Level 3
Chris runs 100 metres for 5 times. The average time taken for his first three runs is 14.5 seconds. He aims to have an average timing of 12.8 seconds for his five runs.
  1. What is the average time he needs to take for his 4th and 5th run in order to achieve his aim?
  2. If he runs 3 seconds faster in one of the five runs, what would be his average time for the five runs?
5 m
Level 3 PSLE
The figure shows taps A and B and an empty tank. At 2 p.m., tap A was turned on. Water flowed into the tank from tap A at a rate of 3.8 litres per minute. After 5 minutes, tap B was turned on. At 2.15 p.m., the tank was half filled with water.
  1. How many litres of water flowed out of tap B in 1 minute?
  2. At 2.30 p.m., what fraction of the tank was filled with water?
5 m
Level 3
Copier A prints at a rate of 105 leaflets in every 3 minutes and Copier B prints at a rate of 136 leaflets in every 4 minutes. At 2 p.m., both copiers started printing. After a while, Copier A stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier B continued printing during this time. At 4 p.m., the total number of leaflets printed during the past two hours was 7930. Express the number of leaflets printed by Copier A as a percentage of the total number of leaflets printed by both copiers. Round off the answer to 2 decimal places.
5 m