Level 3 Jake and Kenneth had the same number of sweets. Each of them packed his own sweets into packets. Jake packed 5 sweets in each packet and had 2 sweets left. Kenneth packed 8 sweets in each packet and was short of 4 sweets.
How many sweets did each of them have if they have used the same number of packets?
What was the smallest possible number of sweets each of them had if they used different number of packets?
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 2
John's age is a multiple of 7 this year. His age next year will be a multiple of 6. John is more than 30 years old. What is John's age this year?
Level 2
Jerry's age last year was a multiple of 4. His age next year is a multiple of 5. Given that he is between 12 and 40 years old, how old is he now?
Level 3 Cherry has more than 30 but fewer than 40 candies. If she packs them in packets of 5, she will have 3 left. If she packs them in packets of 7, she will only have 3 in the last packet. How many candies does Cherry have?
Level 3
Mr Lim has some pencils. If he ties them in bundles of 6, he will have 5 extra pencils. If he ties them in bundles of 5, he would be short of 3 pencils. What is the smallest possible number of pencils Mr Lim has?
Level 3
There are some pineapple tarts in a container. The pineapple tarts can be put into plates of 4 or 8 with no pineapple tarts leftover. When the pineapple tarts are put into plates of 6, there are short of 2 pineapple tarts on the last plate. If there are more than 50 pineapple tarts but less than 70 pineapple tarts, how many pineapple tarts are there in the container?
Level 2
Jill thought of a number. When this number is rounded off to the nearest ten, it becomes 60. This number is also a common multiple of 4 and 8. What is the smallest possible number?
