Conjecturing and generalising

There are 405 NRICH Mathematical resources connected to Conjecturing and generalising
What's happening?
problem
Favourite

What's happening?

Age
5 to 7
Challenge level
filled star empty star empty star

Shapes are added to other shapes. Can you see what is happening? What is the rule?

Method in multiplying madness?
problem
Favourite

Method in multiplying madness?

Age
7 to 14
Challenge level
filled star filled star empty star
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Class 5's names
problem
Favourite

Class 5's names

Age
7 to 11
Challenge level
filled star empty star empty star

Class 5 were looking at the first letter of each of their names. They created different charts to show this information. Can you work out which member of the class was away on that day?

The Domesday Project
problem
Favourite

The domesday project

Age
7 to 11
Challenge level
filled star empty star empty star

Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

Finding 3D Stacks
problem
Favourite

Finding 3d stacks

Age
7 to 11
Challenge level
filled star filled star filled star

Can you find a way of counting the spheres in these arrangements?

Summing Consecutive Numbers
problem
Favourite

Summing consecutive numbers

Age
11 to 14
Challenge level
filled star empty star empty star

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Poly Plug Pattern
problem
Favourite

Poly plug pattern

Age
5 to 7
Challenge level
filled star empty star empty star

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

All Change
problem
Favourite

All change

Age
5 to 7
Challenge level
filled star empty star empty star
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
Poly Plug Rectangles
problem
Favourite

Poly plug rectangles

Age
5 to 11
Challenge level
filled star empty star empty star
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Attractive Tablecloths
problem
Favourite

Attractive tablecloths

Age
14 to 16
Challenge level
filled star filled star empty star
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?