Suppose another fence is built exactly one metre longer so the path between the two fences is the same width along the edges of the field. How wide would this path be?
Could a farmer drive […]
Suppose another fence is built exactly one metre longer so the path between the two fences is the same width all the way round including at the corners of the field.
How wide would this path be?
Would a mouse be able to run along it? […]
A wire belt is tied tightly around the Earth at the equator. Suppose the belt is made exactly one metre longer and held around the Earth at the equator so that it is the same distance away from the Earth everywhere. Would a mouse be able to crawl under the new belt? How do […]
Describe the path (or locus) of the centre of the disc and its length.
Describe the paths of the centres of a disc rolling around the edges of other polygons.
Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]
For a start: how many small tetrahedra, like the blue model shown, were used to make the 6.5 metre high red balloon model shown below.
The smallest tetrahedron (Stage 0), the blue model, is made from 6 balloons, each […]
Using 3 rods of lengths from 1 to 10 units, and not using any rod more than once, you can measure all the lengths in whole units from 1 to 10 units.
For example with rods of lengths 3, 4, and 9 the measurements are:
4 – 3 = 1; 9 – 4 […]
Make 1 metre length sticks using newspaper.
Tightly roll 8 large sheets of newspaper, 4 and 4 placed as in the photograph, so that the length of the stick when the paper is […]
Squares 1, 2 and 3 all have edges of length 1 unit.
The top edge of square 2 is split into equal parts of length ½.
The left hand edge of square 3 is split into equal parts of length ½.
The top and bottom edges of square 3 is split into lengths ¼, […]
Try to estimate the distance around the tree trunk at its base measured in metres.
Does this picture give you an idea how you might use the picture, with your class at school, to work out a better estimate […]