Can you work out the values of J, M and C in this sum?
Weekly Problem 8 - 2016
Can you work out the size of the angles in a quadrilateral?
Weekly Problem 39 - 2016
In the diagram, VWX and XYZ are congruent equilateral triangles. What is the size of angle VWY?
Four cards have a number on one side and a phrase on the back. On each card, the number does not have the property described on the back. What do the four cards have on them?
Weekly Problem 38 - 2017
In the diagram, what is the value of $x$?
You may have met Magic Squares, now meet an Anti-Magic Square. Its properties are slightly different - can you still solve it?
I start with a red, a green and a blue marble. I can trade any of my marbles for two others, one of each colour. Can I end up with five more blue marbles than red after a number of such trades?
Six points are arranged in space so that no three are collinear. How many line segments can be formed by joining the points in pairs?
In the following sum the letters A, B, C, D, E and F stand for six distinct digits. Find all the ways of replacing the letters with digits so that the arithmetic is correct.
Find some triples of whole numbers a, b and c such that a^2 + b^2 + c^2 is a multiple of 4. Is it necessarily the case that a, b and c must all be even? If so, can you explain why?
