Level 2
Abby goes for cooking classes once every 4 days. Charles goes to the same cooking class once every 5 days. Given that they first met in the cooking class on 2 June, on which day of June would they meet each other again?
Level 2
Heather went to the gym once every 4 days while Vicky went to the same gym once every 6 days. They became friends after meeting each other at the gym on a Saturday. Which would be the next earliest day that they would meet each other again at the gym? Give the answer in number. (Eg Mon = 1; Tue = 2)
Level 2
Priscilla has more than 20 pencils but fewer than 40 pencils The pencils can be packed into bags of 4 pencils without any remainder. The pencils can also be packed into bags of 6 pencils without any remainder. What is the most number of pencils that Priscilla has?
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.
Find the speed of the black car.
Find the speed of the green car.
If the 2 cars travelled without any interval of rest, at what time would the 2 cars next meet again at the office?
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.
Find the distance covered per second by Vivian in m.
Find the distance covered per second by Kyle in m.
When the two cyclists next met again at the starting point, how far would Vivian have covered? Express the answer in km.
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.
How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
How far would Bus X be behind Bus Y after 12 hour?
Level 3
Roger had two planks of the same length. He sawed one plank into equal parts of length 90 cm. In each part he drilled 6 small holes as shown in Figure 1. After that, he sawed the other plank into equal parts of length 1.5 m and in each part, he drilled 8 big holes as shown in Figure 2. When he finished drilling, he counted that there were 12 more small holes than big holes. If all the holes are spaced equally, how many holes were there altogether?
Level 3
Roger had two planks of the same length. He sawed one plank into equal parts of length 90 cm. In each part he drilled 6 small holes as shown in Figure 1. After that, he sawed the other plank into equal parts of length 1.5 m and in each part, he drilled 8 big holes as shown in Figure 2. When he finished drilling, he counted that there were 12 more small holes than big holes. If all the holes are spaced equally, how many holes were there altogether?
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.
How far would Jomarie be behind Helen after 1 hour?
How long after they started would it take Helen to meet Jomarie for the first time?
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3
If Bill and Henry paint a house, they take 24 days to finish painting.
If Kenny and Bill paint the same house, they take 8 days to finish painting.
If Henry and Mark paint the same house, they take 12 days to finish painting.
How many days do Kenny and Mark take to paint the house if they work together?
