What do you know about robots? What are drones? Are driver-less cars actually robots? What do you think about robots that move around warehouses to pick up and carry loads from place to place or control complicated machinery in factories? What do you think about robots that mow lawns and clean floors?
What do you notice? Why does this happen? Will it […]
Using what you know about angles and parallel lines prove that the angles of the triangle add up to 180 degrees.
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Look at the triangle with angles marked 1, 2 and 3.
Call this T.
Label angles equal to these angles. Why are they equal?
Look at the larger heavily outlined triangle.
How many copies of triangle T can you see in this triangle?
What else do […]
Draw a circle and mark 24 points equally spaced around the circumference. To do this, draw a circle and mark the centre, and mark your first point on […]
This shape is an equilateral triangle sitting on top of a square.
What is the radius of the circle that circumscribes the shape?
Click here for a hint if you need one to get started.
This problem is adapted from the […]
If you also know that AB and CD are parallel which angles can you find?
What extra information do you need to find all the numbered angles?
The line RS is a tangent at P to the circle centre O and radius 1 unit.
Find the lengths OQ, PQ, PS, OS, OR and RP.
If OS and OR lie on the coordinate axes, what are the coordinates […]