
Reasoning, convincing and proving
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problemWhat is the largest number of intersection points that a triangle and a quadrilateral can have?
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problem
Always, sometimes or never? Shape
Are these statements always true, sometimes true or never true?
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problem
Always, sometimes or never? Number
Are these statements always true, sometimes true or never true?
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problem
Always, sometimes or never? KS1
Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
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problem
Always, sometimes or never?
Are these statements relating to odd and even numbers always true, sometimes true or never true?
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problem
Open squares
This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
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problem
Star polygons
Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
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problem
Same length
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
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problem
Mega quadratic equations
What do you get when you raise a quadratic to the power of a quadratic?