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Find out which two distinct primes less than $7$ will give the largest highest common factor of these two expressions.

Weekly Problem 39 - 2012
For how many values of $n$ are both $n$ and $\frac{n+3}{n-1}$ integers?

To what power should $4^4$ be raised to give $8^8$?

Weekly Problem 24 - 2012
Can you put these very close fractions into order?

How many rats did the Pied Piper catch?

If three brothers will get £20 more if they do not share their money with their sister, how much money is there?

A recipe for flapjacks calls for a certain quantity of butter, sugar and oats. Given the amount of these ingredients I have, how many flapjacks can I make?

Can you work out the ratio of shirt types made by a factory, if you know the ratio of button types used?

How many bees could fly 1000 miles if they had 10 gallons of honey?

Given some relationships amongst these shapes, how many triangles equal one diamond?