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The curve, also known as the ‘snowflake curve’, was invented in 1904 by the Swedish mathematician Helge von Koch.
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 […]
Chloe decorated 12 biscuits to take to her friend’s Birthday party.
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 […]
Activity 1: Finding the centre of the circle
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 […]
Can you see what the rule is for filling numbers in the hexagons? Continue the pattern using the same rule. If you get it right the bottom row will start 1, 9, 36, 84, …
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.
1. You have 2 blue shapes, 3 green and 5 brown. Describe their properties.
2. Find the areas in square units of the 3 pieces blue, green and brown.
3. Build one big geometrical shape using all 10 pieces, placing them edge to edge. Draw […]
Note: The symbols may be slightly different. Use the subtle differences in the images in working out your answer.
Click here to download the BANANAS CLOCK HEXAGON worksheet.
Click here to download the Notes for Teachers.
This puzzle is adapted from puzzlebrain.com.
We take it that you know that in a parallelogram both pairs of opposite sides are parallel.
In this investigation you will discover some other properties of parallelograms.
Step 1: Use two rulers with different widths to draw a parallelogram on tracing paper or baking paper.
Make sure that it is not a […]
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