Space and shape worksheets
Free worksheets: Space and shape, KS2
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3D shapes matching
Can you match these shapes with the correct definitions?
Mirror line colouring
Can you colour the squares so that each side of the picture is an exact mirror image?
Sorting regular and irregular shapes
Regular shapes have equal-length sides and all the internal angles are equal. Can you cut out the shapes and sort them into the Venn diagram? Then draw a circle around the regular shapes and write a definition of an irregular shape.
Reflecting, rotating and translating shapes
Can you draw this shape’s reflection in the mirror line?
Opening shapes to make nets
Can you make a net from an old cereal box and an old Toblerone box? Then see if you can use these nets to make some 3D shapes.
Symmetrical pairs game
This butterfly playing cards game will help your child to recognise when items are symmetrical.
Identifying patterns
Can you help Captain Clumsy cross the river to get to her treasure? Her map tells her she can only cross on the stones that create a repeating pattern. Can you spot the path she needs to take and colour the last two stones the right colour?
3D shape Sudoku
Each column and row in the orange square must contain one of each 3D shape – a cylinder, a sphere, a cube and a cone. Cut out the spare shapes on the next page and practise different combinations to see if you can solve the puzzle.
Drawing shapes using parallel lines
Can you draw a shape that has four sides and two parallel lines? What about a pentagon? What about a shape with two or more right angles?
Area problems
Lucy wants to make a lovely new lawn. She has to work to a budget and has £220 to spend on turf. Can she have any lawn shape she wants? Work out if she has enough money to buy turf for each of the plans shown below!
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.
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!
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.
Scale factor problems
We use scale factor to talk about the numbers a shape has been multiplied by to make a new shape in proportion with the original. Can you answer these scale factor questions?
Looking at scale factors
We use scale factor when we talk about increasing the size of a 2D shape. The size by which we make the shape larger is described by its scale factor. Can you solve these scale factor problems?
Rotational symmetry explained
Rotational symmetry is where you can turn an object so that it looks exactly the same. The number of positions in which it looks exactly the same gives you its order of symmetry. Can you write the order of rotational symmetry under each of these shapes?
Draw your own 3D shape net
Can you draw nets on this squared paper that you can make into a square-based pyramid, cylinder, cube and triangular prism?
Recording coordinates on four quadrants
Can you fill in the coordinates of space objects on the grid?
Opening shapes to make nets
Can you make a net from an old cereal box and an old Toblerone box? Then see if you can use these nets to make some 3D shapes.
Finding unknown angles in quadrilaterals
See if you can work out the missing angles in each of these quadrilaterals.