Area and Perimeter of a Rectangle
Questions on the areas and perimeters of rectangles which will test your problem solving abilities.
Area Builder
An interactive workspace in which to make shapes using square tiles with given areas and perimeters.
Area of a Triangle
Calculate the areas of the given triangles in this self marking quiz.
Area and Perimeter of a Parallelogram
Many different ways to practise your skills finding the areas and perimeters of parallelograms.
Area and Perimeter of a Kite
A short exercise to practise using the formulae for area and perimeter of a kite.
Area of a Trapezium
Check that you can find the area of a trapezium and use the trapezium area formula for problem solving.
Area and Perimeter
Show that you know the area and perimeter formulas of basic shapes.
Area Maze
Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams.
Area Two
How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines?
Area Wall Puzzles
Divide the grid into rectangular pieces so that the area of each piece is the same as the number it contains.
Quad Areas
Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.
Circles
Practise using pi to calculate various circle measurements. There are six levels of difficulty.
Areas of Composite Shapes
Find the areas of combined (composite) shapes made up of one or more simple polygons and circles.
Formulae Pairs
Find the matching pairs of diagrams and formulae for basic geometrical shapes.
Similar Shapes
Questions about the scale factors of lengths, areas and volumes of similar shapes.
Surface Area
Work out the surface areas of common solid shapes in this collection of exercises.
Area Builder
An interactive workspace in which to make shapes using square tiles with given areas and perimeters.
Polygon Areas
Investigate which polygons have an area of 4 square units on this interactive dotty grid.
Area shapes
Investigate polygons with an area of 4 square units. This is your starting point, you can decide how to proceed.
Pin Board
Rows and columns of dots that can be joined using straight lines to create shapes.
Rectangle Perimeters
The perimeter of a rectangle is 28cm. What could its area be?
This is the main Transum help video on Area.
Area And Perimeter Video
Calculate and solve problems involving perimeter and area of rectangles, triangles, parallelograms, trapezia, kites and composite shapes.
Parallelogram
Instructional video showing how the area of a parallelogram can be determined.
Circle Facts Song
A free trial lesson from Math Upgrade dot com.
Circles Area and Circumference Video
The circumference and area of a circle can be found if the radius or diameter are known.
Surface Area Video
Finding the surface are of three dimensional shapes can involve some interesting formulae.
The Infinite Chocolate Bar
A visual riddle! Can you explain?
Pin Board
Rows and columns of dots that can be joined using straight lines to create shapes.
Area Two
How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines?
Bizarre Triangle
By how much would the area of this triangle increase if its base was enlarged to 8cm?
Christmas Tables
Which of the two shapes has the largest area? You will be surprised!
Missing Square Puzzle
The missing square puzzle is an optical illusion used to help students reason about geometrical figures.
Oblongs
Find the dimensions of a rectangle given the perimeter and area.
Quad Areas
Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.
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Teachers might find the complete Area Topic List useful.
Pupils should not only be able to remember and apply area formulae but they should also have a good understanding of what area means. This can be achieved by beginning the study of area with plenty of practical examples. The Pin Board provides an open-ended interactive experimental environment to secure a good fundamental understanding of area.
Some examinations provide formulae sheets but it is still important that pupils know the common formulas for finding the areas of basic shapes. They should use these formulae in context to find areas of basic and compound shapes and be able to give answers using appropriate units.
Pupils will also learn to find the surface areas of three dimensional shapes, use scale to determine areas from maps and solve real world problems involving areas.
See also the topics called Measures, Shape (3D) and Ratio.
