Visualising and representing

There are 575 NRICH Mathematical resources connected to Visualising and representing

problem

Favourite

Fractions rectangle

Age

11 to 14

Challenge level

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?

problem

Favourite

Biscuit decorations

Age

5 to 7

Challenge level

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

problem

Favourite

Doesn't add up

Age

14 to 16

Challenge level

In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

problem

Favourite

Funny factorisation

Age

11 to 16

Challenge level

Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

problem

Favourite

Plenty of pens

Age

7 to 11

Challenge level

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

problem

Favourite

Counting cards

Age

7 to 11

Challenge level

A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?

problem

Favourite

The deca tree

Age

7 to 11

Challenge level

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

problem

Favourite

Odd squares

Age

7 to 11

Challenge level

Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

problem

Favourite

Odds and evens

Age

11 to 14

Challenge level

Are these games fair? How can you tell?

problem

Favourite

Round and round and round

Age

11 to 14

Challenge level

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?

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For younger learners

Visualising and representing

Fractions rectangle

Biscuit decorations

Doesn't add up

Funny factorisation

Plenty of pens

Counting cards

The deca tree

Odd squares

Odds and evens

Round and round and round