Describing patterns and sequences

What can you see? What do you notice? What questions can you ask?

Which of these pocket money systems would you rather have?

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

How many moves does it take to swap over some red and blue frogs? Do you have a method?

What do you notice about the sum of two identical triangular numbers?

Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

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...