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 41 - 2011

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

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

Weekly Problem 7 - 2009

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

Weekly Problem 15 - 2009

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

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 13 - 2010

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

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 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 31 - 2010

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

Weekly Problem 2 - 2011

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

Weekly Problem 14 - 2011

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

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 42 - 2014

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

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 22 - 2016

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

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 51 - 2011

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

Weekly Problem 3 - 2013

Can you find the value of t in these equations?

Weekly Problem 23 - 2013

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

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 20 - 2010

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

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 24 - 2014

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

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 36 - 2015

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

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?

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 40 - 2016

Andrew walks along a flat path, then up and down a hill, then back along the path. Is it possible to work out how far he has walked?

Weekly Problem 1 - 2017

Yesterday evening, Emily's journey home took 25% longer than usual. By what percentage was her average speed reduced compared to normal?

Weekly Problem 26 - 2017

The angles in the triangle are shown in the diagram in terms of x and y. If x and y are positive integers, what is the value of x+y?

Weekly Problem 36 - 2017

What value of x makes the mean of the first three numbers in this list equal to the mean of the other four?

Weekly Problem 3 - 2017

Books cost £3.40 and magazines cost £1.60. If Clara spends £23 on books and Magazines, how many of each does she buy?

Weekly Problem 11 - 2017

Edith had 9 children at 15 month intervals. If the oldest is now six times as old as the youngest, how old is her youngest child?

Weekly Problem 23 - 2017

Three small equilateral triangles of the same size are cut from the corners of a larger equilateral triangle. What is the side length of the small triangles?

Weekly Problem 29 - 2017

Rick has five cubes. Each one is 2cm taller than the previous one. The largest cube is the same height as a tower built of the two smallest cubes. How high would a tower of all five cubes be?

Weekly Problem 40 - 2017

After tennis training, Andy, Roger and Maria collect up the balls. Can you work out how many Andy collects?

Weekly Problem 42 - 2017

Helen has twice as many sisters as brothers. Her brother Tim has three times as many sisters as brothers. How many children are there in the family?

Weekly Problem 49 - 2017

Each interior angle in a quadrilateral (apart from the smallest) is twice the previous one. What is the size of the smallest interior angle?