Constructions

problem
Favourite

Attractive Rotations

Age

11 to 14

Challenge level

1 out of 3

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
problem
Favourite

Constructing Triangles

Age

11 to 14

Challenge level

1 out of 3

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
problem
Favourite

The Farmers' Field Boundary

Age

11 to 14

Challenge level

2 out of 3

The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
problem
Favourite

Curvy Areas

Age

14 to 16

Challenge level

1 out of 3

Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
problem
Favourite

Triangle Midpoints

Age

14 to 16

Challenge level

2 out of 3

You are only given the three midpoints of the sides of a triangle. How can you construct the original triangle?
problem
Favourite

The Square Under the Hypotenuse

Age

14 to 16

Challenge level

2 out of 3

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
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Favourite

Squirty

Age

14 to 16

Challenge level

3 out of 3

Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.
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Golden Construction

Age

16 to 18

Challenge level

1 out of 3

Draw a square and an arc of a circle and construct the Golden rectangle. Find the value of the Golden Ratio.
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Three Tears

Age

14 to 16

Challenge level

1 out of 3

Construct this design using only compasses
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Jomista Mat

Age

7 to 11

Challenge level

1 out of 3

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?