This diagram shows a proof.
Look carefully. Can you see three squares?
Assuming that they are squares, can you prove that four of the triangles are congruent?
Can you now write down a proof of Pythagoras’ Theorem and explain the proof?
The second diagram […]
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?
Accurately copy the following patterns and vary them to make your own designs.
Draw two base lines and mark the same number of points at equal distances along each line. Join […]
Which holds the most? Which holds the least? How could you find out? Explore!
What do you notice?
To explain how the patterns of numbers arise:
Either multiply by (10 – 1) instead of multiplying by 9
or use the table below, first completing the calculations on each line.
First make 6 paper sticks, all the same length, by rolling paper tightly round pieces of string and securing with sticky tape. Then make a rhombus by tying together 5 sticks to make 2 equilateral triangles. Use the rhombus and the one remaining stick to make a shape with […]
Twenty per cent of the inhabitants of a city have been inoculated against a certain disease. An epidemic hits the city and the chance of infection amongst those inoculated is 10% but amongst the rest it is 75%.
Copy and fill in the contingency table and the Venn diagram below and use them to answer […]
Make a tetrahedron out of rolled paper sticks. Press it gently.
See that it does not change its shape – it is rigid.
3 squares North,
then diagonally 1 South East,
2 squares North East,
2 squares South,
1 square South West,
4 squares East
then 4 squares south.
Where does he go to and what does he meet on his journey?
Using the 8 compass directions describe a route for Pirate […]
How many other triangles can you make with 11 sticks?
Investigate all the triangles that you can make with different numbers of sticks.
Record your […]