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Multiply a sequence of n terms together. Can you work out when this product is equal to an integer?

If you know that a fraction of X is the same as a different fraction of Y, can you work out X/Y?

Which of the areas shown in the hexagons are equal to each other?

Can you work out the ratio b:c given the ratios a:b and a:c?

Weekly Problem 24 - 2006
How many of the rearrangements of the digits 1, 3 and 5 give prime numbers?

What is the value of c in this subtraction?

I am standing behind five pupils who are signalling a five-digit number to someone on the opposite side of the playground. What number is actually being signalled?

If this class contains between $45$% and $50$% girls, what is the smallest possible number of girls in the class?

Weekly Problem 21 - 2010
How many diagonals can you draw on this square...

10 must remain within easy reach...