Exploring and noticing

There are 319 NRICH Mathematical resources connected to Exploring and noticing
Collatz-ish
problem

Collatz-ish

Age
14 to 16
Challenge level
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A sequence is generated using these rules. For which values of n is the nth term equal to n?
Take a Leaf
problem

Take a Leaf

Age
11 to 14
Challenge level
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An examination paper is made from five pieces of paper. What is the sum of the other page numbers that appear on the same sheet as page 5?
Fencing
problem

Fencing

Age
7 to 11
Challenge level
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Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Pattern Sniffing
article

Pattern Sniffing

This article for primary teachers outlines how we can encourage children to create, identify, extend and explain number patterns and why being able to do so is useful.
Domino sets
problem

Domino sets

Age
7 to 11
Challenge level
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How do you know if your set of dominoes is complete?
Strange Bank Account
problem

Strange Bank Account

Age
11 to 14
Challenge level
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Imagine a very strange bank account where you are only allowed to do two things...
Fence it
problem

Fence it

Age
11 to 14
Challenge level
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If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Beelines
problem

Beelines

Age
14 to 16
Challenge level
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Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Simply Graphs
problem

Simply Graphs

Age
16 to 18
Challenge level
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Look for the common features in these graphs. Which graphs belong together?