Conjecturing and generalising

problem

Neighbourly Addition

Age

7 to 14

Challenge level

1 out of 3

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

1 out of 3

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

2 out of 3

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

3 out of 3

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

Nim-Like Games

Age

7 to 16

Challenge level

1 out of 3

A collection of games on the NIM theme
game

Pentanim

Age

7 to 16

Challenge level

2 out of 3

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

1 out of 3

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

1 out of 3

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?
problem

Threesomes

Age

11 to 14

Challenge level

1 out of 3

Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?
problem

Mind Reading

Age

11 to 14

Challenge level

1 out of 3

Think of a number, add one, double it, take away 3, add the number you first thought of, add 7, divide by 3 and take away the number you first thought of. You should now be left with 2. How do I know?