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 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?

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?

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?

Beatrix has a 24-hour digital clock on a glass table. How many times in a 24-hour period will the display and its reflection give the same time?

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 - 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 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?

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 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 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?