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Calculating with length
Ready for some calculations with length? Rulers at the ready...
Reading scales and solving problems
Can you read the scales and solve these potato-weight problems?
Calculating perimeters
To find the perimeter of a shape you must add up the lengths of each of the sides. Can your child calculate the perimeters of these common shapes?
Calculating volume
Volume is the amount of 3D space that an object occupies. Volume can be measured in cubes. Calculate the number of cubes in each shape to work out the volume.
Estimate volume
Look at these containers. Which do you think has the greatest volume? (Think about their real-life size by considering what is inside.) Put them in order from smallest to largest volume. Estimate the volume in cm3, then calculate the volume to see how accurate you were.
Area and perimeter summary
When you first learn to find the area of a shape you do it by counting squares. You then learn that you can use formulae to quickly and accurately find the areas of some shapes. Can you remember the formulae and use them reliably? Now find the perimeter and area of all the shapes below (not drawn to scale). Remember to use the correct units of measurement (cm or cm2).
Area and perimeter calculations
How good are you at tricky area and perimeter questions? Have a go at these calculations.
Using related calculations
If you know that 28 x 16 = 448 you can quickly find the answers to lots of similar calculations. Draw a line from each calculation to the correct answer.
Using BODMAS to solve calculations
Do you know what BODMAS stands for? BODMAS tells us the order we need to complete operations in. If there is a bracket work out the result of the operation inside it first then do division then multiplication and finally do any addition and subtraction. Put your knowledge of BODMAS into practice by having a go at these calculations.
Tricky fractions puzzles
You need to be able to confidently find equivalent fractions and add, subtract and divide fractions before you try these puzzles.
Solving proportion puzzles
To solve these proportion problems you need to be able to find fractions and percentages of amounts and compare fractions, decimals and percentages. Once you’ve solved the problems, challenge a parent or friend by writing some of your own!
Simple algebra problems
Remember to use BODMAS to answer these algebra problems!
Secret message percentages
Once you can find 50%, 25%, 75%, 10% and 5% of numbers you can find a lot of other percentages too. Find each of your answers in the coded table to uncover a secret treasure-map message.
Quadrilaterals and coordinates
On the grid, plot each set of coordinates then find the fourth coordinate to draw the shape given.
Perimeter and area of compound shapes
Can you find the perimeter of this shape? You’ll need to find the lengths of the two missing sides first. Then see if you can calculate the perimeter of this eight-sided shape? Finally, can you find the area of these shapes?
Nets of cubes puzzles
A net is what a 3D (three-dimensional) shape would look like if it were opened out flat. Find as many different nets as possible that are not the reflection of each other. There are quite a few!
Mean, median, mode and range puzzles
Use your knowledge of how to find the mean, median, mode and range to solve these problems.
Fractions, percentages and decimals problems
Can you find fractions and percentages of amounts and compare fractions, decimals and percentages? Then you’re ready to try solving these problems!
Fractions word problems
You’ll need to find fractions of amounts and add, subtract, multiply and divide fractions in order to solve the problems on this sheet.
Dividing fractions by a whole number
If you can multiply fractions you’ll soon be able to divide them by whole numbers, too. Are you ready to have a go at these tricky calculations?
Complete number sequences
You need to be able to calculate with negative numbers and decimals to do these tricky questions...
Calculating the volume of cuboids
Do you remember the formula for calculating the volume of a cuboid? See if you can work out the volume of these cuboids, as well as their length, width and height.