14 Divisors

What is the smallest number with exactly 14 divisors?

Summing Consecutive Numbers

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?

Dozens

Do you know a quick way to check if a number is a multiple of two? How about three, four or six?

Cover-up

Stage: 3 Short Challenge Level:

If I place a $6$cm by $6$cm square on a triangle, I can cover up to $60$% of the triangle. If I place the triangle on the square, I can cover up to $2\over 3$ of the square. What is the area of the triangle?

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.

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