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 35 - 2012

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

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 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 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 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 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 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 18 - 2015

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

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 12 - 2016

The diagram shows a square PQRS and two equilateral triangles RSU and PST. PQ has length 1. What is the length of TU?

Weekly Problem 48 - 2014

Two of the triangles in the diagram are shaded black. What is the probability the resulting figure has at least one axis of symmetry?

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?