Visualising and representing

Here are some short problems for you to try. Talk to your friends about how you work them out.

An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.

Try out this number trick. What happens with different starting numbers? What do you notice?

Have a look at these photos of different fruit. How many do you see? How did you count?

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick ten numbers from the bags so that their total is 37?

This problem looks at how one example of your choice can show something about the general structure of multiplication.

Are these statements always true, sometimes true or never true?

Find as many different ways of representing this number of dots as you can.

Watch this animation. What do you see? Can you explain why this happens?