Conjecturing and generalising

There are 343 NRICH Mathematical resources connected to Conjecturing and generalising
Terminating or not
problem

Terminating or not

Age
11 to 14
Challenge level
filled star filled star empty star
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
Neighbourly Addition
problem

Neighbourly Addition

Age
7 to 14
Challenge level
filled star empty star empty star
I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?
Truth or Lie
problem

Truth or Lie

Age
7 to 11
Challenge level
filled star filled star empty star
Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?
Surprising Split
problem

Surprising Split

Age
7 to 11
Challenge level
filled star empty star empty star
Does this 'trick' for calculating multiples of 11 always work? Why or why not?
Digit Addition
problem

Digit Addition

Age
5 to 11
Challenge level
filled star empty star empty star
Try out this number trick. What happens with different starting numbers? What do you notice?
Unexpected Ordering
problem

Unexpected Ordering

Age
5 to 7
Challenge level
filled star empty star empty star
Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?
Window frames
problem

Window frames

Age
5 to 14
Challenge level
filled star empty star empty star
This task encourages you to investigate the number of edging pieces and panes in different sized windows.
Bundles of Cubes
problem

Bundles of Cubes

Age
7 to 11
Challenge level
filled star filled star empty star
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
Maxagon
problem

Maxagon

Age
11 to 14
Challenge level
filled star filled star empty star
What's the greatest number of sides a polygon on a dotty grid could have?