Exploring and noticing

There are 319 NRICH Mathematical resources connected to Exploring and noticing

problem

Consecutive Numbers

Age

7 to 14

Challenge level

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

article

Learning Mathematics Through Games Series: 4. From Strategy Games

Basic strategy games are particularly suitable as starting points for investigations. Players instinctively try to discover a winning strategy, and usually the best way to do this is to analyse the outcomes of series of 'moves'. With a little encouragement from the teacher, a mathematical investigation is born.

problem

12345

Age

14 to 16

Challenge level

Repeat a pattern of numbers to form a larger number. Can you find the sum of all the digits?

problem

Count Me In

Age

7 to 11

Challenge level

How do you know whether you will reach these numbers when you count in steps of six from zero?

problem

Almost One

Age

11 to 14

Challenge level

Choose some fractions and add them together. Can you get close to 1?

problem

Diagonal in a Spiral

Age

7 to 11

Challenge level

Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.

problem

Dice Stairs

Age

7 to 11

Challenge level

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?

problem

Centred Squares

Age

7 to 11

Challenge level

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.

list

Exploring and Noticing - Short Problems

Age

11 to 16

A collection of short Stage 3 and 4 problems on Exploring and Noticing.