Area - squares and rectangles

problem

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?
problem

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?
problem

Making Squares

Age

7 to 11

Challenge level

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?
problem

A Day With Grandpa

Age

7 to 11

Challenge level

Grandpa was measuring a rug using yards, feet and inches. Can you help William to work out its area?
problem

Extending Great Squares

Age

7 to 11

Challenge level

Explore one of these five pictures.
problem

Cylinder Cutting

Age

7 to 11

Challenge level

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
problem

Tiling Into Slanted Rectangles

Age

7 to 11

Challenge level

A follow-up activity to Tiles in the Garden.
problem

Cover the Tray

Age

7 to 11

Challenge level

These practical challenges are all about making a 'tray' and covering it with paper.
problem

3×3 Areas

Age

11 to 14

Challenge level

Which of the following shaded regions has an area different from the other shaded regions?
problem

Mid-Point Area

Age

11 to 14

Challenge level

M is the midpoint of the side of the rectangle. What is the area (in square units) of the triangle PMR?