Conjecturing and generalising

problem

Approaching Midnight: Changing Smallest Step

Age

7 to 14

Liz played Approaching Midnight and wondered how changing the smallest step size affects the game.
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

Neighbourly Addition

Age

7 to 14

Challenge level

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?
problem

Charitable Pennies

Age

7 to 14

Challenge level

Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
$Got \It for Two$

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?
problem

Steps to the Podium

Age

7 to 14

Challenge level

It starts quite simple but great opportunities for number discoveries and patterns!
game

Nim-Like Games

Age

7 to 16

Challenge level

A collection of games on the NIM theme
game

Pentanim

Age

7 to 16

Challenge level

A game for 2 players with similarities to NIM. Place one counter on each spot on the games board. Players take it is turns to remove 1 or 2 adjacent counters. The winner picks up the last counter.
problem

Chocolate Maths

Age

11 to 14

Challenge level

Pick the number of times a week that you eat chocolate. This number must be more than one but less than ten. Multiply this number by 2. Add 5 (for Sunday). Multiply by 50... Can you explain why it works?
problem

Dicing With Numbers

Age

11 to 14

Challenge level

In how many ways can you arrange three dice side by side on a surface so that the sum of the numbers on each of the four faces (top, bottom, front and back) is equal?