# Resources tagged with: Squares

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### There are 49 results

Broad Topics > Angles, Polygons, and Geometrical Proof > Squares

### Geoboards

##### Age 7 to 11Challenge Level

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

### Peg and Pin Boards

##### Age 5 to 11

This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.

### Making Squares

##### Age 7 to 11

Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?

### Square Corners

##### Age 7 to 11Challenge Level

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

### Torn Shapes

##### Age 7 to 11Challenge Level

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

### Inside Seven Squares

##### Age 7 to 11Challenge Level

What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?

### Transformations on a Pegboard

##### Age 7 to 11Challenge Level

How would you move the bands on the pegboard to alter these shapes?

### My New Patio

##### Age 7 to 11Challenge Level

What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?

### Tiles on a Patio

##### Age 7 to 11Challenge Level

How many ways can you find of tiling the square patio, using square tiles of different sizes?

### Seeing Squares for Two

##### Age 5 to 11Challenge Level

Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?

### Seeing Squares

##### Age 5 to 11Challenge Level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

### Great Squares

##### Age 7 to 11Challenge Level

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.

### Fraction Fascination

##### Age 7 to 11Challenge Level

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

### Rope Mat

##### Age 7 to 11Challenge Level

How many centimetres of rope will I need to make another mat just like the one I have here?

### Overlapping Squares

##### Age 7 to 11Challenge Level

Have a good look at these images. Can you describe what is happening? There are plenty more images like this on NRICH's Exploring Squares CD.

### Fitted

##### Age 7 to 11Challenge Level

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

### Polydron

##### Age 7 to 11Challenge Level

This activity investigates how you might make squares and pentominoes from Polydron.

### Square Surprise

##### Age 5 to 11Challenge Level

Why do you think that the red player chose that particular dot in this game of Seeing Squares?

### Ten Hidden Squares

##### Age 7 to 14Challenge Level

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

### Eight Hidden Squares

##### Age 7 to 14Challenge Level

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

### Square It

##### Age 11 to 16Challenge Level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

### On the Edge

##### Age 11 to 14Challenge Level

If you move the tiles around, can you make squares with different coloured edges?

### Baravelle

##### Age 7 to 16Challenge Level

What can you see? What do you notice? What questions can you ask?

### A Square in a Circle

##### Age 7 to 11Challenge Level

What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?

### Jig Shapes

##### Age 5 to 11Challenge Level

Can you each work out what shape you have part of on your card? What will the rest of it look like?

### Square Coordinates

##### Age 11 to 14Challenge Level

A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

### Tangrams

##### Age 5 to 11Challenge Level

Can you make five differently sized squares from the interactive tangram pieces?

### Tetra Square

##### Age 11 to 14Challenge Level

ABCD is a regular tetrahedron and the points P, Q, R and S are the midpoints of the edges AB, BD, CD and CA. Prove that PQRS is a square.

### Diagrams

##### Age 7 to 11Challenge Level

A group activity using visualisation of squares and triangles.

### Cut and Make

##### Age 7 to 11Challenge Level

Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?

### Coloured Edges

##### Age 11 to 14Challenge Level

The whole set of tiles is used to make a square. This has a green and blue border. There are no green or blue tiles anywhere in the square except on this border. How many tiles are there in the set?

### Three Squares

##### Age 5 to 11Challenge Level

What is the greatest number of squares you can make by overlapping three squares?

### Dissect

##### Age 11 to 14Challenge Level

What is the minimum number of squares a 13 by 13 square can be dissected into?

### Zooming in on the Squares

##### Age 7 to 14

Start with a large square, join the midpoints of its sides, you'll see four right angled triangles. Remove these triangles, a second square is left. Repeat the operation. What happens?

### Hidden Squares

##### Age 11 to 14Challenge Level

Can you find the squares hidden on these coordinate grids?

### Squares in Rectangles

##### Age 11 to 14Challenge Level

A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?

### Sorting Logic Blocks

##### Age 5 to 11Challenge Level

This activity focuses on similarities and differences between shapes.

### Squares, Squares and More Squares

##### Age 11 to 14Challenge Level

Can you dissect a square into: 4, 7, 10, 13... other squares? 6, 9, 12, 15... other squares? 8, 11, 14... other squares?

### LOGO Challenge - the Logic of LOGO

##### Age 11 to 16Challenge Level

Just four procedures were used to produce a design. How was it done? Can you be systematic and elegant so that someone can follow your logic?

### LOGO Challenge 7 - More Stars and Squares

##### Age 11 to 16Challenge Level

Can you use LOGO to create a systematic reproduction of a basic design? An introduction to variables in a familiar setting.

### 2001 Spatial Oddity

##### Age 11 to 14Challenge Level

With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.

### First Forward Into Logo 1: Square Five

##### Age 7 to 16Challenge Level

A Short introduction to using Logo. This is the first in a twelve part series.

### Logo Challenge 3 - Star Square

##### Age 7 to 16Challenge Level

Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles

### LOGO Challenge 4 - Squares to Procedures

##### Age 11 to 16Challenge Level

This LOGO Challenge emphasises the idea of breaking down a problem into smaller manageable parts. Working on squares and angles.

### Opposite Vertices

##### Age 11 to 14Challenge Level

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

### Square Areas

##### Age 11 to 14Challenge Level

Can you work out the area of the inner square and give an explanation of how you did it?

### LOGO Challenge 5 - Patch

##### Age 11 to 16Challenge Level

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

### LOGO Challenge - the Humble Square

##### Age 7 to 16Challenge Level

Look at how the pattern is built up - in that way you will know how to break the final pattern down into more manageable pieces.

### Square Within a Square Within...

##### Age 11 to 14 ShortChallenge Level

What fraction of this square is shaded?