What is the smallest number with exactly 14 divisors?
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?
If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?
What is the largest number of the following statements that can be true at the same time? I) $0 < x^2 < 1$ II) $x^2 > 1$ III) $-1 < x < 0$ IV) $ 0 < x < 1$ V) $0 < x - x^2 < 1$ If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.