Weekly Problem 53 - 2011

Find a number between 100 and 999 that has its middle digit equal to the sum of the other two digits. Can you find all possibilities?

If p is a positive integer and q is a negative integer, which of these expressions is the greatest?

The sum of each column and row in this grid give the totals as shown. What number goes in the starred square?

In the diagram in the question, how many squares, of any size, are there whose entries add up to an even total?

Weekly Problem 4 - 2009

Bilbo and Frodo use a rhyme as they count their own cherry stones - where will they finish if they count all stones together?

Weekly Problem 7 - 2009

Tony and Tina can't work out which of them owes what to the other. Can you?

Weekly Problem 8 - 2009

How many ways can Gill, the baby, arrange the letters in her name?

Weekly Problem 10 - 2009

In how many ways can you give change for a ten pence piece?

Weekly Problem 16 - 2009

Arrange these three famous mathematicians in order with the shortest-lived first.

Weekly Problem 25 - 2009

Jack does a 20-question quiz. How many questions didn't he attempt?

I have a max/min thermometer in my greenhouse. What were the maximum and minimum temperatures recorded when I looked at it on Wednesday evening?

Gar the Magician plays a card trick on his friends Kan and Roo. Can you work out his trick and find out the sum on Kan's cards?

Weekly Problem 24 - 2010

Can you find a number that is half way between these two fractions?

Weekly Problem 26 - 2011

Alberta won't reveal her age. Can you work it out from these clues?

Weekly Problem 31 - 2011

Can you find a number and its double using the digits $1$ to $9$ only once each?

Weekly Problem 19 - 2016

"It would take 20 million years to fill Morecambe Bay from a bath tap". What does this imply is the approximate capacity of Morecambe Bay?

Weekly Problem 46 - 2016

If the line on the right were 0.2mm thick, how long would it need to be to cover an area of one square metre?