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Broad Topics > Admin > Hyperlinked

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Inverse Problems Save the Day

Age 14 to 18 Challenge Level:

Learn how solving inverse problems can save lives in this article from Plus Magazine.

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The Knapsack Problem

Age 14 to 18 Challenge Level:

Learn about algorithms for solving optimisation problems in this article from Plus Magazine.

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Stretching an Integral

Age 16 to 18 Challenge Level:

What happens to areas under the graph of $\frac{1}{x}$ when they are stretched?

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Trigsy Integrals

Age 16 to 18 Challenge Level:

What different ways can you find to calculate these integrals?

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Sine Stretching

Age 16 to 18 Challenge Level:

Can you find the gradient function of $\sin 3x$. How did you convince yourself?

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Slippery Areas

Age 16 to 18 Challenge Level:

Can you find the definite integral of a transformed function?

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Can You Find... Asymptote Edition

Age 16 to 18 Challenge Level:

Can you work out the equation of the function from its graph?

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Rotating Derivatives

Age 16 to 18 Challenge Level:

By considering a point on a unit circle, can you use geometry to find the derivatives of $\sin x$ and $\cos x$?

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Slices of Pi

Age 16 to 18 Challenge Level:

How are $\sin x$, $\cos x$ and $\tan x$ related to each other? Can you make sense of the the 'slices'?

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Parabella

Age 14 to 18 Challenge Level:

Can you prove an algebraic statement using geometric reasoning?

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Worth 1000 Words

Age 16 to 18 Challenge Level:

Which of the sketches matches the function given?

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Muddled Trig

Age 16 to 18 Challenge Level:

Can you match all the different trig functions to their graphs?

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Translating or Not?

Age 16 to 18 Challenge Level:

Can you sketch the graphs of these two reciprocal functions? What are the links between them?

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Function Builder 1

Age 16 to 18 Challenge Level:

What happens when you combine functions? Can you sketch the results?

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Approaching Midnight

Age 7 to 14 Challenge Level:

Can you beat the clock to the midnight hour?

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Escape the Vortex

Age 5 to 14 Challenge Level:

Can you always reach the exit first and escape the vortex?

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Droplets

Age 5 to 14 Challenge Level:

Try this slightly more challenging version of Driplets and see if you can find a winning strategy.

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Driplets

Age 5 to 11 Challenge Level:

This game follows on from Last Bead. Can you find a way to take the last drip or drips?

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Last Bead

Age 5 to 11 Challenge Level:

Take turns to remove a bead from the string. Can you find a way to play so that you will always win?

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Seven Counters

Age 5 to 11 Challenge Level:

Can you be the player to take the last counter?

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Trig Tables

Age 16 to 18 Challenge Level:

Can you fill in all the missing values and trig functions to make the tables complete?

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Compose

Age 16 to 18 Challenge Level:

Can you compose four functions to create the set of functions given?

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Two-way Calculus

Age 16 to 18 Challenge Level:

Can you find functions with the desired properties to fill in the table?