**"Length"**

## Square Fence

*By toni On 15 September, 2023 · 7 Comments*

A fence is built around a square field.

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?

Would a mouse be able to run along it?

Could a farmer drive […]

## Not-So-Square Fence

*By toni On 14 September, 2023 · 5 Comments*

A fence is built around a square field.

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? […]

## Belt Round The World

*By AA On 14 September, 2023 · 2 Comments*

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 […]

## Roundabout

*By toni On 14 September, 2023 · Leave a Comment*

A disc (circle) rolls around the outside edge of a square so that its circumference always touches the edge of the square.

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.

## Tangram Fractions

*By toni On 16 June, 2022 · 4 Comments*

This is a classic Chinese Tangram. Each of the people illustrated, and many convex polygons, can be made with the 7 pieces and there are hundreds of other puzzles based on this tangram.

Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]

## Sierpinski Number and Shape Patterns

*By toni On 16 November, 2020 · 2 Comments*

There are many investigations and projects you could do based on the Sierpinski Tetrahedron.

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 […]

## Rod Measures

*By toni On 5 May, 2020 · Leave a Comment*

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 […]

## Metre Measures

*By toni On 18 April, 2020 · Leave a Comment*

For this activity you need lots of old newspapers, and some sticky tape.

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 […]

## Fractions in a Square

*By toni On 18 April, 2020 · 4 Comments*

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, […]

This baobab tree in Senegal is reported to be 6000 years old.

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 […]

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