Resources tagged with: Enlargements and scale factors

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There are 13 results

Broad Topics > Transformations and constructions > Enlargements and scale factors

Growing Rectangles

Age 11 to 14
Challenge Level

What happens to the area and volume of 2D and 3D shapes when you enlarge them?

Hex

Age 11 to 14
Challenge Level

Explain how the thirteen pieces making up the regular hexagon shown in the diagram can be re-assembled to form three smaller regular hexagons congruent to each other.

The Rescaled Map

Age 14 to 16
Challenge Level

We use statistics to give ourselves an informed view on a subject of interest. This problem explores how to scale countries on a map to represent characteristics other than land area.

Similar Rectangles

Age 14 to 16
Challenge Level

Can you find the missing length?

Conical Bottle

Age 14 to 16
Challenge Level

A right circular cone is filled with liquid to a depth of half its vertical height. The cone is inverted. How high up the vertical height of the cone will the liquid rise?

Squirty

Age 14 to 16
Challenge Level

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.

Fit for Photocopying

Age 14 to 16
Challenge Level

Explore the relationships between different paper sizes.

Matter of Scale

Age 14 to 16
Challenge Level

Prove Pythagoras' Theorem using enlargements and scale factors.

Fill Me up Too

Age 14 to 16
Challenge Level

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

Who Is the Fairest of Them All ?

Age 11 to 14
Challenge Level

Explore the effect of combining enlargements.

Transformation Game

Age 11 to 14
Challenge Level

Why not challenge a friend to play this transformation game?

Arrow Arithmetic 1

Age 14 to 16
Challenge Level

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.

L-triominoes

Age 14 to 16
Challenge Level

L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?