Conjecturing and generalising

problem
Wipeout

Age

11 to 16

Challenge level

Can you do a little mathematical detective work to figure out which number has been wiped out?
problem
Hollow squares

Age

14 to 16

Challenge level

Which armies can be arranged in hollow square fighting formations?
problem
Difference of two squares

Age

14 to 16

Challenge level

What is special about the difference between squares of numbers adjacent to multiples of three?
problem
Forwards add backwards

Age

11 to 14

Challenge level

What happens when you add a three digit number to its reverse?
game

Stop the clock for two

Age

5 to 7

Challenge level

Stop the Clock game for an adult and child. How can you make sure you always win this game?
$Got \It for Two$

game

Got it for two

Age

7 to 14

Challenge level

Got It game for an adult and child. How can you play so that you know you will always win?
game

Nim-7 for two

Age

5 to 14

Challenge level

Nim-7 game for an adult and child. Who will be the one to take the last counter?
game

Strike it out for two

Age

5 to 11

Challenge level

Strike it Out game for an adult and child. Can you stop your partner from being able to go?
problem
What shape for two

Age

7 to 14

Challenge level

'What Shape?' activity for adult and child. Can you ask good questions so you can work out which shape your partner has chosen?
problem
Reasoned rounding

Age

7 to 14

Challenge level

Four strategy dice games to consolidate pupils' understanding of rounding.