Visualising and representing

A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

Try out these calculations. Are you surprised by the results?

Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

The Number Jumbler can always work out your chosen symbol. Can you work out how?

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

Take three consecutive numbers and add them together. What do you notice?