Imagine cutting out a circle which is just contained inside a semicircle. What fraction of the semi-circle will remain?
Given three concentric circles, shade in the annulus formed by the smaller two. What percentage of the larger circle is now shaded?
Draw two intersecting rectangles on a sheet of paper. How many regions are enclosed? Can you find the largest number of regions possible?
A 30cm x 40cm page of a book includes a 2cm margin on each side... What percentage of the page is occupied by the margins?
M is the midpoint of the side of the rectangle. What is the area (in square units) of the triangle PMR?
Tom and Jerry start with identical sheets of paper. Each one cuts his sheet in a different way. Can you find the perimeter of the original sheet?
Are you able to find triangles such that these five statements are true?
These four touching circles have another circle hiding amongst them...
When I place a triangle over a small square, or cover a larger square with the same triangle, a certain proportion of each is covered. What is the area of the triangle?
Roo wants to puts stickers on the cuboid he has made from little cubes. Will he have any stickers left over?
Weekly Problem 33 - 2014
Weekly Problem 49 - 2014
The diagram to the right shows a logo made from semi-circular arcs. What fraction of the logo is shaded?
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?
The diagram shows a cuboid in which the area of the shaded face is one quarter of the area of each of the two visible unshaded faces. What is the area of one of the unshaded faces?
A cube has each of its faces covered by one face of an identical cube, making a solid as shown. What is the surface area of the solid?