Visualising and representing

There are 575 NRICH Mathematical resources connected to Visualising and representing

problem

Favourite

Vector journeys

Age

14 to 18

Challenge level

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

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Reflecting squarely

Age

11 to 14

Challenge level

In how many ways can you fit all three pieces together to make shapes with line symmetry?

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Favourite

Eggs in baskets

Age

5 to 7

Challenge level

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

problem

Favourite

Picturing square numbers

Age

11 to 14

Challenge level

Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

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Favourite

Maths filler

Age

11 to 14

Challenge level

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

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Favourite

Table patterns go wild!

Age

7 to 11

Challenge level

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

problem

Favourite

Seven squares

Age

11 to 14

Challenge level

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

problem

Favourite

Making boxes

Age

7 to 11

Challenge level

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

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Favourite

Is there a theorem?

Age

11 to 14

Challenge level

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?

problem

Favourite

The root of the problem

Age

14 to 18

Challenge level

Find the sum of this series of surds.

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For younger learners

Visualising and representing

Vector journeys

Reflecting squarely

Eggs in baskets

Picturing square numbers

Maths filler

Table patterns go wild!

Seven squares

Making boxes

Is there a theorem?

The root of the problem