Weekly Problem 48 - 2009

Dan and Ann have 9 and 8 coins respectively. What is the smallest number of coins they must swap so they end up with equal amounts of money.

Weekly Problem 14 - 2011

What does the sum of these three numbers tell us about their product?

Weekly Problem 13 - 2010

The Seven Dwarfs have seven different birthdays. How old can they be?

Weekly Problem 16 - 2010

Is it wise for Jane to use this certain method for choosing her padlock code? Try to work out all possible combinations she might use.

Weekly Problem 37 - 2012

Baldrick could buy 6 parsnips and 7 turnips, or 8 parsnips and 4 turnips. How many parsnips could he buy?

Weekly Problem 38 - 2012

If an athlete takes 10 minutes longer to walk, run and cycle three miles than he does to cycle all three miles, how long does it take him?

Weekly Problem 28 - 2011

Look at the times that Harry, Christine and Betty take to pack boxes when working in pairs, to find how fast Christine can pack boxes by herself.

Weekly Problem 40 - 2011

You may have seen magic squares before, but can you work out the missing numbers on this magic star?

Weekly Problem 15 - 2010

Can you find a pair of numbers such that their sum, product and quotient are all equal? Are there any other pairs?

Weekly Problem 33 - 2008

Quince, quonce and quance are three types of fruit. Can you work out the order of heaviness of the fruits?

Weekly Problem 51 - 2011

The equation $x^2+2=y^3$ looks nearly quadratic. What integer solutions can you find?

Weekly Problem 20 - 2010

You have already used Magic Squares, now meet a Magic Octahedron...

Weekly Problem 7 - 2009

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

Weekly Problem 3 - 2013

Can you find the value of t in these equations?

Weekly Problem 31 - 2010

Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.

Weekly Problem 44 - 2013

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

Weekly Problem 23 - 2013

Jasmine buys three different types of plant. How many triffids did she buy?

Weekly Problem 10 - 2015

Granny is four times as old as I am. Five years ago she was five times as old as I was. What is the sum of our ages?

Weekly Problem 22 - 2015

The number 2005 is the sum of a sequence of five consecutive positive integers. What is the smallest of these integers?

Weekly Problem 30 - 2007

Three-quarters of the area of the rectangle has been shaded. What is the length of x?

Weekly Problem 36 - 2015

Can you complete this magic square with the numbers from 7 to 15?

Weekly Problem 50 - 2007

Al, Berti, Chris and Di have sums of money totalling £150... What is the difference between the amount Al and Di have?

Weekly Problem 22 - 2014

The planet Zog has both green and blue banknotes. Can you work out how many zogs two green banknotes and three blue banknotes are worth?

Weekly Problem 41 - 2011

This magic square has only been partially completed. Can you still solve it...

Weekly Problem 24 - 2014

The square of a positive number is twice as big as the cube of that number. What is the number?

Weekly Problem 20 - 2016

Dean runs up a mountain road at 8 km per hour. It takes him one hour to get to the top. He runs down the same mountain at 12 km per hour. How long does it take him to run down the mountain?

Weekly Problem 42 - 2014

If $6x−y=21$ and $6y−x=14$, what is the value of $x−y$?

Weekly Problem 15 - 2009

Can you work out Ali's age based on the diagram?

Weekly Problem 50 - 2014

Cheryl finds a bag of coins. Can you work out how many more 5p coins than 2p coins are in the bag?

Weekly Problem 2 - 2011

Using the new operator $\oplus$, can you solve this equation?

Weekly Problem 48 - 2015

Miss Quaffley's class went to the library. If you know how many books each boy, girl and teddy bear took out, can you work out how many girls there are?