John plans to get the minimum possible Diamond Razor Mesh fencing material, as a security measure to discourage entry into his dam. He finds out that the rectangular shape drawn around the dam picture can help. The dimensions are given in algebraic form, in metres. Find an expression for the area of this […]
Take a large piece of backing paper, and either draw an equilateral triangle with edges of length 27 cm or cut a triangle from coloured paper and stick it on […]
She lined them up and put green icing on every second biscuit.
She put a red cherry on every third biscuit and a white chocolate button on every fourth biscuit.
How many biscuits had no decoration? How […]
In March 2014 and February 2015 Bubblz the Mathematical Clown and the Pyraloons built Guinness World Record breaking Balloon Model Sierpinski Pyramids to raise funds for AIMSSEC. The photo shows the triumphant team in a shopping mall in Cambridge, UK and their 6.5 metre high pyramid.
The smallest pyramid is made from […]
Image starting with an equilateral triangle and replacing each edge by a zig-zag curve made up of 4 pieces. Each of the 4 pieces is one third of the length of the line segment it replaces so it looks as if equilateral triangles have been attached to the shape. Now imagine repeating […]
You will need a cut-out paper circle (about 12cm diameter).
Use a circle that does not show the centre. Fold your circle along a diameter. Mark the ends A and B. Now unfold your circle and then fold again along a different diameter and mark the […]
Shade the hexagons where the number inside is odd all in one colour. Using a contrasting colour, […]
A large piece of land, divided into small plots, belongs to 5 different farmers.
Below is a plan of the area as the land is presently divided.
All the plots labelled (a) belong to farmer (a).
All the plots labelled (s) belong to farmer (s) and so on.
2. Find the areas in square units of the 3 pieces blue, green and brown.
Note: The symbols may be slightly different. Use the subtle differences in the images in working out your answer.
This puzzle is adapted from puzzlebrain.com.