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Number and algebra

  • The Number System and Place Value
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Working mathematically

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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

Trigonometry

Degree Ceremony

Age 16 to 18
Challenge Level Yellow star

Can you find the sum of the squared sine values?

Making Waves

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

Which is larger cos(sin x) or sin(cos x) ? Does this depend on x ?

Loch Ness

Age 16 to 18
Challenge Level Yellow starYellow star

Draw graphs of the sine and modulus functions and explain the humps.

T for Tan

Age 16 to 18
Challenge Level Yellow star

Can you find a way to prove the trig identities using a diagram?

Impossible Square?

Age 16 to 18
Challenge Level Yellow starYellow star

Can you make a square from these triangles?

Impossible Triangles?

Age 16 to 18
Challenge Level Yellow starYellow star

Which of these triangular jigsaws are impossible to finish?

Curved Square

Age 16 to 18
Challenge Level Yellow star

Can you find the area of the central part of this shape? Can you do it in more than one way?

Tangled Trig Graphs

Age 16 to 18
Challenge Level Yellow star

Can you work out the equations of the trig graphs I used to make my pattern?

Trig Identity

Age 16 to 18
Challenge Level Yellow star

In this short challenge, can you use angle properties in a circle to figure out some trig identities?

Geometric Trig

Age 16 to 18
ShortChallenge Level Yellow star

Trigonometry, circles and triangles combine in this short challenge.

Trigger

Age 16 to 18
ShortChallenge Level Yellow starYellow star

Can you sketch this tricky trig function?

Stand up Arcs

Age 16 to 18
ShortChallenge Level Yellow star

What happens when you straighten out concentric circles?

Calculating with Cosines

Age 14 to 18
Challenge Level Yellow starYellow star

If I tell you two sides of a right-angled triangle, you can easily work out the third. But what if the angle between the two sides is not a right angle?

Tri-angled Trig

Age 16 to 18
Challenge Level Yellow starYellow starYellow star

Can you justify this equation involving three angles?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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