Reasoning, convincing and proving

There are 458 NRICH Mathematical resources connected to Reasoning, convincing and proving

problem

Always, Sometimes or Never? KS1

Age

5 to 7

Challenge level

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

problem

Always, Sometimes or Never?

Age

5 to 11

Challenge level

Are these statements relating to odd and even numbers always true, sometimes true or never true?

problem

Open Squares

Age

7 to 11

Challenge level

This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?

problem

Same length

Age

11 to 16

Challenge level

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

problem

Subtraction Surprise

Age

7 to 14

Challenge level

Try out some calculations. Are you surprised by the results?

problem

Mega Quadratic Equations

Age

14 to 18

Challenge level

What do you get when you raise a quadratic to the power of a quadratic?

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