The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.
Can you sort these triangles into three different families and explain how you did it?
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
Can you complete this jigsaw of the multiplication square?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
