Trigonometry - Short Problems


This is part of our collection of Short Problems.

You may also be interested in our longer problems on Trigonometry.

Printable worksheets containing selections of these problems are available here:

Stage 4 ★★★ Sheet 1 Solutions

Symmetric Angles

KS 4 Short Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

Weekly Problem 43 - 2009
This diagram has symmetry of order four. Can you use different geometric properties to find a particular length?

Overlapping Ribbons

KS 4 Short Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

Two ribbons are laid over each other so that they cross. Can you find the area of the overlap?

The Roller and the Triangle

KS 4 Short Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

How much of the inside of this triangular prism can Clare paint using a cylindrical roller?

Ice Cream Tangent

KS 4 Short Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

Weekly Problem 28 - 2008
The diagram shows a semi-circle and an isosceles triangle which have equal areas. What is the value of tan x?