**"Measures"**

## 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 […]

## 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 […]

## Cola Can

*By toni On 18 February, 2016 · Leave a Comment*

An aluminium can contains 330 ml of cola.

If the can’s diameter is 6 cm what is the can’s height?

Suppose the can’s height is 10 cm, what does the diameter have to be?

Which of these two cans uses the least aluminium?

If you could choose any diameter which dimensions for the can […]

## Mixing Paints

*By toni On 18 January, 2016 · Leave a Comment*

Paint A is made up from red and white paint in the ratio 1:3 and paint B is made up from red and white paint in the ratio 1:7 . The cans are the same size.

You can mix the paints to produce different shades of pink. Explain how to find the ratio of […]

## Thousands and Millions

*By toni On 18 January, 2015 · Leave a Comment*

Try a few of these:

Do human beings live for as long as a million hours?

If you have been alive for a million seconds, how many birthdays have you had?

What year was it one billion minutes ago?

How long would it take to count to a million […]

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