Working systematically

There are 549 NRICH Mathematical resources connected to Working systematically

problem

Fence it

Age

11 to 14

Challenge level

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

article

Binomial Coefficients

An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.

problem

Sorted

Age

14 to 18

Challenge level

How can you quickly sort a suit of cards in order from Ace to King?

problem

Interpolating polynomials

Age

16 to 18

Challenge level

Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.

problem

Olympic Logic

Age

11 to 16

Challenge level

Can you use your powers of logic and deduction to work out the missing information in these sporty situations?

problem

Nutrition and Cycling

Age

14 to 16

Challenge level

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

problem

Take three numbers

Age

7 to 11

Challenge level

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

problem

Magic Letters

Age

11 to 14

Challenge level

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

project

Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple simulation game to investigate the properties of such systems.

problem

The Games' Medals

Age

5 to 7

Challenge level

Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?

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Working mathematically

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Working systematically

Fence it

Binomial Coefficients

Sorted

Interpolating polynomials

Olympic Logic

Nutrition and Cycling

Take three numbers

Magic Letters

Troublesome Triangles

The Games' Medals