Here you have an opportunity to explore the proofs of the laws of logarithms.
Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?
Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Find the missing angle between the two secants to the circle when the two angles at the centre subtended by the arcs created by the intersections of the secants and the circle are 50 and 120 degrees.
Three points A, B and C lie in this order on a line, and P is any point in the plane. Use the Cosine Rule to prove the following statement.
Take four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
A practical experiment which uses tree diagrams to help students understand the nature of questions in conditional probability.
