Exploring and noticing

There are 412 NRICH Mathematical resources connected to Exploring and noticing
What's it worth?
problem
Favourite

What's it worth?

Age
11 to 16
Challenge level
filled star empty star empty star

There are lots of different methods to find out what the shapes are worth - how many can you find?

Two Primes Make One Square
problem
Favourite

Two primes make one square

Age
7 to 11
Challenge level
filled star filled star empty star
Can you make square numbers by adding two prime numbers together?
What Shape and Colour?
problem
Favourite

What shape and colour?

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

Can you fill in the empty boxes in the grid with the right shape and colour?

Sending a Parcel
problem
Favourite

Sending a parcel

Age
11 to 14
Challenge level
filled star filled star empty star
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
How far does it move?
problem
Favourite

How far does it move?

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

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Four Go
problem
Favourite

Four go

Age
7 to 11
Challenge level
filled star filled star empty star
This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
Stop the Clock
problem
Favourite

Stop the clock

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

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

Keep it simple
problem
Favourite

Keep it simple

Age
11 to 14
Challenge level
filled star empty star empty star
Can all unit fractions be written as the sum of two unit fractions?
Next size up
problem
Favourite

Next size up

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

The challenge for you is to make a string of six (or more!) graded cubes.

Pairs of Numbers
problem
Favourite

Pairs of numbers

Age
5 to 7
Challenge level
filled star empty star empty star
If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?