Creating and manipulating expressions and formulae

There are 198 NRICH Mathematical resources connected to Creating and manipulating expressions and formulae

problem

Favourite

Pythagoras proofs

Age

11 to 16

Challenge level

Can you make sense of these three proofs of Pythagoras' Theorem?

problem

Favourite

Always perfect

Age

14 to 18

Challenge level

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

problem

Favourite

The number jumbler

Age

7 to 14

Challenge level

The Number Jumbler can always work out your chosen symbol. Can you work out how?

problem

Favourite

Square number surprises

Age

14 to 16

Challenge level

There are unexpected discoveries to be made about square numbers...

problem

Favourite

Fibonacci surprises

Age

11 to 14

Challenge level

Play around with the Fibonacci sequence and discover some surprising results!

problem

Favourite

Puzzling place value

Age

14 to 16

Challenge level

Can you explain what is going on in these puzzling number tricks?

problem

Favourite

Reversals

Age

11 to 14

Challenge level

Where should you start, if you want to finish back where you started?

problem

Favourite

Beach huts

Age

11 to 14

Challenge level

Can you figure out how sequences of beach huts are generated?

problem

Favourite

Quadratic patterns

Age

14 to 16

Challenge level

Surprising numerical patterns can be explained using algebra and diagrams...

problem

Favourite

Pythagoras perimeters

Age

14 to 16

Challenge level

If you know the perimeter of a right angled triangle, what can you say about the area?

Or search by topic

Number and algebra

Geometry and measure

Probability and statistics

Working mathematically

Advanced mathematics

For younger learners

Creating and manipulating expressions and formulae

Pythagoras proofs

Always perfect

The number jumbler

Square number surprises

Fibonacci surprises

Puzzling place value

Reversals

Beach huts

Quadratic patterns

Pythagoras perimeters