Enlargements and scale factors

There are 22 NRICH Mathematical resources connected to Enlargements and scale factors
problem

Poly plug pattern

Age
5 to 7
Challenge level
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Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Fill Me Up Too
problem

Fill me up too

Age
14 to 16
Challenge level
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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?
Transformation Game
game
Favourite

Transformation game

Why not challenge a friend to play this transformation game?
Growing Rectangles
problem

Growing rectangles

Age
11 to 14
Challenge level
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What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Circles ad infinitum
problem

Circles ad infinitum

Age
16 to 18
Challenge level
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A circle is inscribed in an equilateral triangle. Smaller circles touch it and the sides of the triangle, the process continuing indefinitely. What is the sum of the areas of all the circles?
Fit for photocopying
problem

Fit for photocopying

Age
14 to 16
Challenge level
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Explore the relationships between different paper sizes.
Hex
problem

Hex

Age
11 to 14
Challenge level
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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.
Squirty
problem

Squirty

Age
14 to 16
Challenge level
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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.

Similar rectangles
problem

Similar rectangles

Age
14 to 16
Challenge level
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Can you find the missing length?