Conjecturing and generalising

problem

Sitting Round the Party Tables

Age

5 to 11

Challenge level

1 out of 3

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
problem

Count the Digits

Age

5 to 11

Challenge level

1 out of 3

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?
game

Strike It Out for Two

Age

5 to 11

Challenge level

1 out of 3

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

Counting Stick Conjectures

Age

5 to 11

Challenge level

1 out of 3

How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?
game

Celebrate 25 Years of NRICH

Age

5 to 14

To celebrate NRICH's 25th birthday, why not play this special version of our classic game, Got It? Can you devise a strategy so that you will always win?
game

Nim-7 for Two

Age

5 to 14

Challenge level

1 out of 3

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

Window Frames

Age

5 to 14

Challenge level

1 out of 3

This task encourages you to investigate the number of edging pieces and panes in different sized windows.
problem

Spirals, Spirals

Age

7 to 11

Challenge level

1 out of 3

Here are two kinds of spirals for you to explore. What do you notice?
problem

The Great Tiling Count

Age

7 to 11

Challenge level

1 out of 3

Compare the numbers of particular tiles in one or all of these three designs, inspired by the floor tiles of a church in Cambridge.
problem

Broken Toaster

Age

7 to 11

Challenge level

1 out of 3

Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?