Level 3 The product of two numbers is greater than 80 but less than 85. The sum of the two numbers is a multiple of 5. The difference between the two numbers is 8.
Level 3
Find the possible value(s) of Y in ascending order if Y is a 2-digit odd number that is smaller than 30, a multiple of 3 and also a factor of 45.
Level 2
Alice picked two different numbers from a box. One of their common multiples is 24 and the sum of all the factors of the smaller number is 7. The bigger number is 8. What is the smaller number?
Level 3
Mrs Tan has 24 pupils in her class. She wants them to work in groups for an activity. What is the total number of different ways that she can arrange her pupils, so that each group has the same number of pupils?
Level 3
A group of 65 pupils decided to form groups of 4 in order to take part in a game.
How many pupils were not involved in the game because they could not belong to a group?
In order for everyone to participate in the game, the 65 pupils decided to increase the number of groups from the existing group arrangement. What is the minimum number of pupils in each group such that everyone would belong to a group?
