Resources tagged with: Squares

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There are 38 results

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

Seeing Squares for Two

Age 5 to 11
Challenge 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 11
Challenge 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.

Square Surprise

Age 5 to 11
Challenge Level

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

Three Squares

Age 5 to 11
Challenge Level

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

Diagrams

Age 7 to 11
Challenge Level

A group activity using visualisation of squares and triangles.

Inside Seven Squares

Age 7 to 11
Challenge Level

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

Square Corners

Age 7 to 11
Challenge 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?

My New Patio

Age 7 to 11
Challenge Level

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

Eight Hidden Squares

Age 7 to 14
Challenge 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?

A Square in a Circle

Age 7 to 11
Challenge 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?

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?

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.

Ten Hidden Squares

Age 7 to 14
Challenge Level

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

Tiles on a Patio

Age 7 to 11
Challenge Level

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

Geoboards

Age 7 to 11
Challenge Level

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

Baravelle

Age 7 to 16
Challenge Level

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

Paper Patchwork 1

Age 5 to 7
Challenge Level

Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

Complete the Square

Age 5 to 7
Challenge Level

Complete the squares - but be warned some are trickier than they look!

Halving

Age 5 to 7
Challenge Level

These pictures show squares split into halves. Can you find other ways?

Polydron

Age 7 to 11
Challenge Level

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

Tangrams

Age 5 to 11
Challenge Level

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

Torn Shapes

Age 7 to 11
Challenge Level

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

Transformations on a Pegboard

Age 7 to 11
Challenge Level

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

Rope Mat

Age 7 to 11
Challenge Level

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

Great Squares

Age 7 to 11
Challenge Level

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

Fitted

Age 7 to 11
Challenge 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?

Fraction Fascination

Age 7 to 11
Challenge Level

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

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?

Data Shapes

Age 5 to 7
Challenge Level

Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

Sorting Logic Blocks

Age 5 to 11
Challenge Level

This activity focuses on similarities and differences between shapes.

Jig Shapes

Age 5 to 11
Challenge Level

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

LOGO Challenge - the Humble Square

Age 7 to 16
Challenge 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.

Chain of Changes

Age 5 to 7
Challenge Level

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

Logic Block Collections

Age 5 to 7
Challenge Level

What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?

Cut and Make

Age 7 to 11
Challenge 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?

Overlapping Squares

Age 7 to 11
Challenge 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.

Logo Challenge 3 - Star Square

Age 7 to 16
Challenge Level

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

First Forward Into Logo 1: Square Five

Age 7 to 16
Challenge Level

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