Arithmetic sequences

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

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

Watch the video to see how Charlie works out the sum. Can you adapt his method?

Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.

This group tasks allows you to search for arithmetic progressions in the prime numbers. How many of the challenges will you discover for yourself?

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

In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?

In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.

Can you complete this jigsaw of the multiplication square?