problem

### Always Perfect

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

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Always Perfect

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

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Quadratic Patterns

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

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Pythagoras Perimeters

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

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Difference of Two Squares

What is special about the difference between squares of numbers adjacent to multiples of three?

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Factorising with Multilink

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

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Finding factors

Can you find the hidden factors which multiply together to produce each quadratic expression?

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Geometric Parabola

Explore what happens when you draw graphs of quadratic equations
with coefficients based on a geometric sequence.