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?
