Arithmetic sequences

How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?

Can you find a way to identify times tables after they have been shifted up or down?

Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

Can you find the connections between linear and quadratic patterns?

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?

Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?