Conjecturing and generalising

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

Explore the effect of reflecting in two parallel mirror lines.

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

Can all unit fractions be written as the sum of two unit fractions?