Exploring and noticing

There are 412 NRICH Mathematical resources connected to Exploring and noticing

problem

Favourite

How far does it move?

Age

11 to 14

Challenge level

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.

problem

Favourite

Four go

Age

7 to 11

Challenge level

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?

problem

Favourite

Stop the clock

Age

5 to 7

Challenge level

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

Can all unit fractions be written as the sum of two unit fractions?

problem

Favourite

Next size up

Age

7 to 11

Challenge level

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

problem

Favourite

Pairs of numbers

Age

5 to 7

Challenge level

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?

game

Favourite

Factors and multiples game

A game in which players take it in turns to choose a number. Can you block your opponent?

problem

Favourite

I'm eight

Age

5 to 11

Challenge level

Find a great variety of ways of asking questions which make 8.

Two flowers with the numbers 15 and 16 on them

problem

Favourite

Butterfly flowers

Age

5 to 7

Challenge level

Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

problem

Favourite

Plus minus

Age

14 to 16

Challenge level

Can you explain the surprising results Jo found when she calculated the difference between square numbers?