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.
Measuring Angles
Measure the size of the given angles to within two degrees of their actual value.
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.
Reading Scales
A self marking exercise on the reading of scales of different types.
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?
Mileometer
Practise converting between miles and kilometres with this self marking quiz.
Quad Areas
Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.
Scale Drawings
Measure line segments and angles in geometric figures, including interpreting scale drawings.
Algebraic Perimeters
Questions about the perimeters and areas of polygons given as algebraic expressions.
Volume
Use formulae to solve problems involving the volumes of cuboids, cones, pyramids, prisms and composite solids.
Measuring Units
Check your knowledge of the units used for measuring with this self-marking quiz about metric and imperial units.
Sorting Units
Order the ten containers according to their value (money, length and weight)
Metric Units Pairs
Find the matching pairs of equivalent metric units in this interactive online game.
Circles
Practise using pi to calculate various circle measurements. There are six levels of difficulty.
Screen Test
Memorise the mathematical facts in the video then answer the ten quiz questions.
Volume Equals Surface Area
Find the cuboids with integer side lengths where the volume is numerically equal to the surface area.
Areas of Composite Shapes
Find the areas of combined (composite) shapes made up of one or more simple polygons and circles.
Map Scales
Test your understanding of map scales expressed as ratios with this self marking quiz.
Imperial Units
Learn about common imperial units and how they relate to other units of measurement.
Inequalities
Check that you know what inequality signs mean and how they are used to compare two quantities. Includes negative numbers, decimals, fractions and metric measures.
Imperial Units Pairs
Find the matching pairs of equivalent imperial units in this interactive online game.
Formulae to Remember
The traditional pairs or pelmanism game adapted to test recognition for formulae required to be memorised for GCSE exams.
Formulae Pairs
Find the matching pairs of diagrams and formulae for basic geometrical shapes.
Converting Standard Units
Converting measurements of length, mass, volume and time from one unit of measure to another.
Cylinders
Apply formulae for the volumes and surface areas of cylinders to answer a wide variety of questions
Bottles, Boxes and Cans
Estimate the capacity of the bottles, boxes and cans in the photograph and answer questions about volume.
Surface Area
Work out the surface areas of common solid shapes in this collection of exercises.
Compound Units
Practise using compound units such as speed, unit pricing and density to solve problems.
Area Builder
An interactive workspace in which to make shapes using square tiles with given areas and perimeters.
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?
Maxvoltray
Find the maximum volume of a tray made from an A4 sheet of paper. A practical mathematical investigation.
This is the main Transum help video on Mensuration.
Metric System
Ted Talk: Why the metric system matters - Matt Anticole
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.
Volume Video
There are simple formulas that can be used to find the volumes of basic three-dimensional shapes.
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.
Pi Song
Kate Bush sings the digits of pi (audio only).
Surface Area Video
Finding the surface are of three dimensional shapes can involve some interesting formulae.
Pi and Four Fingers
Why is The Simpsons not in Base 8? In this video Simon Singh talks about Pi and Maths in The Simpsons cartoon.
Formulae for GCSE
These are the formulae candidates need to know for the GCSE(9-1) Maths exams.
Pin Board
Rows and columns of dots that can be joined using straight lines to create shapes.
Memorable Measures
This is a visual aid and printable cards to introduce a homework activity about measures.
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!
Cross Perimeter
Calculate the distance around the given shape
Goat Grazing
Find the loci of the goat's position as it eats the grass while tethered to the rope.
Missing Lengths
Introduce linear equations by solving these problems about lengths.
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.
Shopping List
A quick quiz about five items on a shopping list written 40 years ago.
Stair Perimeter
Use the information implied in the diagram to calculate the perimeter of this shape.
Step Perimeter
Is it possible to work out the perimeter of this shape if not all the side lengths are given?
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Teachers might find the complete Mensuration Topic List useful.
Mensuration is the branch of Mathematics dealing with measurement of angles, length, area, and volume. It is linked closely to the topic of Estimation and related to the topics of Angles, Shape and Shave (3D).
It is essential for pupils to have an understanding of the units used to measure which include both the more common metric units and the Imperial units still in common usage. We have found a good teaching strategy is to ask each of the pupils to "Bring to the next Maths lesson some visual aid which will help the rest of the class remember the size of a unit of measurement". See Memorable Measures below for the printable resources. This activity provides an association with a unit, a visual aid and a known person which is a great memory enhancer.
