Exploring and noticing

Can you explain the strategy for winning this game with any target?

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

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?

Find the next two dominoes in these sequences.

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

Can you go from A to Z right through the alphabet in the hexagonal maze?