Quadratic Rotation
The curve $y=x^2-6x+11$ is rotated through $180^\circ$ about the origin. What is the equation of the new curve?
The curve $y=x^2-6x+11$ is rotated through $180^\circ$ about the origin. What is the equation of the new curve?
The diagram shows an equilateral triangle touching two straight lines. What is the sum of the four marked angles?
Weekly Problem 37 - 2010
An ant is crawling around the edges of a cube. From the description of his path, can you predict when he will return to his starting point?
Weekly Problem 20 - 2017
The diagram shows a design formed by drawing six lines in a regular hexagon. What fraction of the hexagon is shaded?
Weekly Problem 3 - 2007
What is the ratio of the area of the table covered twice, to the uncovered area?
The circle of radius 4cm is divided into four congruent parts by arcs of radius 2cm as shown. What is the length of the perimeter of one of the parts, in cm?
What is the smallest number of additional squares that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?
How many times a day does a 24 hour digital clock look the same when reflected in a horizontal line?
The diagram shows two semicircular arcs... What is the diameter of the shaded region?
In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?