**"Ratio and proportion"**

## Enlargement

*By toni On 11 October, 2020 · Leave a Comment*

Make enlargements of the coloured shapes by fitting together four identical smaller shapes.

How much longer are the edges (the linear scale factor of the enlargement)?

How much bigger is the area (the area scale factor of the enlargement)?

Now look at the illustration of the 3-dimensional solids. One 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, […]

Each picture shows 3 similar triangles.

They are called similar because they are the same shape, they have the same angles and the lengths of the edges are in the same ratio. For example in this diagram the edges in each triangle are all in the ratio 2 : 3 : 4 […]

## Flagpoles

*By toni On 9 March, 2013 · 2 Comments*

Two flagpoles are 30 metres apart. One has height 10 m and the other has height 15 m. Two tight ropes connect the top of each pole to the foot of the other.

How high do the two ropes intersect above the ground?

How many different methods can you find to solve this problem?

What […]

## Little Man

*By toni On 18 January, 2012 · Leave a Comment*

Little Man is much smaller than you and me. Here is a picture of him standing next to an ordinary mug.

Can you estimate how tall he is? How tall do you think Little Man’s mug might be?

My mug is 10 centimetres tall and it holds 300 millilitres but mugs come in different […]

## Wedge on Wedge

*By toni On 17 January, 2012 · Leave a Comment*

Two right-angled triangles are joined as shown in the diagram.

The green triangle has side lengths of 65, 52 and 39 cm and the blue triangle has side lengths of 52, 48 and 20 cm.

An object is dropped vertically from the top of the green triangle hitting the base by […]

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