Weekly Problem 29 - 2015

How many times a day does a 24 hour digital clock look the same when reflected in a horizontal line?

Weekly Problem 40 - 2010

Can you remove the least number of points from this diagram, so no three of the remaining points are in a straight line?

Weekly Problem 35 - 2012

How many more triangles need to be shaded to make the pattern have a line of symmetry?

Weekly Problem 24 - 2016

What is the smallest number of additional lines that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?

Weekly Problem 28 - 2013

Two lines meet at a point. Another line through this point is reflected in both of these lines. What is the angle between the image lines?

Weekly Problem 24 - 2011

Can you find the time between 3 o'clock and 10 o'clock when my digital clock looks the same from both the front and back?

Weekly Problem 34 - 2013

A card with the letter N on it is rotated through two different axes. What does the card look like at the end?

Weekly Problem 31 - 2008

The flag is given a half turn anticlockwise about the point O and is then reflected in the dotted line. What is the final position of the flag?

Weekly Problem 31 - 2014

Peri the winkle starts at the origin and slithers around some semicircles. Where does she end her expedition?

Weekly Problem 19 - 2009

When I looked at the greengrocer's window I saw a sign. When I went in and looked from the other side, what did I see?

Weekly Problem 18 - 2015

Beatrix relfects the letter P in all three sides of a triangle in turn. What is the final result?

Weekly Problem 34 - 2009

I am standing behind five pupils who are signalling a five-digit number to someone on the opposite side of the playground. What number is actually being signalled?

Weekly Problem 11 - 2011

Kanga hops ten times in one of four directions. At how many different points can he end up?

What proportion of each of these pendants will be made of gold?

If the base and height of a triangle are increased by different percentages, what happens to its area?

Weekly Problem 48 - 2012

The curve $y=x^2−6x+11$ is rotated through $180^\circ$ about the origin. What is the equation of the new curve?

The horizontal red line divides this equilateral triangle into two shapes of equal area. How long is the red line?

An ink stamp draws out a shape when it is rotated. What is its area?