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
A KS2 maths worksheet created by an experienced teacher to help your child understand reflecting, rotating and translating shapes.
Can you draw this shape’s reflection in the mirror line?
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.
Volume of cubes and cuboids
The volume of a cube / cuboid = length x height x width. Look at the following shape pairs and estimate which has the bigger volume. Work out the volume with the formula; were you right?
Properties of prisms: parallel planes
A prism is a 3D shape with two identical ends and all flat sides. Its cross section is the same all along its length and always the same shape as its ends. The shape of the prism’s ends gives the prism its name (for example, the ends of a hexagonal prism are hexagons). Prisms have parallel planes, which means that they have faces that are parallel to each other (they always stay the same distance apart and will never meet).
Perimeter and area compared
The perimeter is the distance all the way around the outside of a 2D shape. Area is the amount of space a surface takes up. We measure area in square units. Can you answer these questions (it may help you to draw these shapes on centimetre-squared paper)?
Parts of a circle
Here is a picture of a circle. Its centre is marked with a red dot. Can you measure the circle’s radius, diameter and circumference?
Formulas for calculating area and volume of shapes
The quickest way to find the area of a 2D shape is to use a formula. Can you use the right formula to find the areas of these shapes? With 3D shapes we can also find the volume, which
means the quantity of space taken up by the shape. Can you use the right formula to find the volumes of these cuboids?
means the quantity of space taken up by the shape. Can you use the right formula to find the volumes of these cuboids?
Calculating the area of parallelograms and triangles
A Year 6 maths worksheet, created by an experienced teacher, on calculating the area of parallelograms and triangles.
To work out the area of a triangle, we use the formula: area = ½ x base x height. See if you can calculate the areas of these triangles.
To work out the area of a triangle, we use the formula: area = ½ x base x height. See if you can calculate the areas of these triangles.
Reflecting, rotating and translating shapes
A KS2 maths worksheet created by an experienced teacher to help your child understand reflecting, rotating and translating shapes.
Can you draw this shape’s reflection in the mirror line?
Can you draw this shape’s reflection in the mirror line?
Estimating angles
Some of these angles are acute, some are obtuse. Decide which they are, then write an estimate for how many degrees you think each one measures. Measure them with a protractor to see if you were right
Properties of 3D shapes
These four shapes fit in the column on the left. Can you draw them in the correct places and name them? If you’d like to count the faces yourself, use a net of each of the shapes to make a 3D shape you can hold.
Calculating the perimeter and area of irregular shapes
A teacher-created KS2 worksheet on calculating the perimeter and area of irregular shapes to support your child's maths learning at home.
Once you know how to find the area of a rectangle, you can use this knowledge to find the area of irregular, compound shapes as long as they are made up of rectangles or squares. Can you calculate the area and perimeter of the shapes below?
Once you know how to find the area of a rectangle, you can use this knowledge to find the area of irregular, compound shapes as long as they are made up of rectangles or squares. Can you calculate the area and perimeter of the shapes below?
Parallel and perpendicular lines in 2D shapes
Parallel lines are always the same distance apart. Perpendicular lines are at right angles to each other. Can you put these shapes into the correct place in the Carroll diagram?
Angles in a triangle
A teacher-created worksheet to support KS2 maths learning and help your Year 6 child practise calculating angles in a triangle.
The three inside angles in a triangle always add up to 180 degrees. Can you work out what the following angles are, WITHOUT a protractor?
The three inside angles in a triangle always add up to 180 degrees. Can you work out what the following angles are, WITHOUT a protractor?
Drawing angles
Protractors at the ready! Measure these angles then draw the correct answers to these word problems.
Angles around a point
A KS2 maths worksheet created by an experienced teacher to help your primary-school child learn about angles.
A full turn is 360 degrees, so the angles around a point always add up to 360 degrees. Can you look at these diagrams and work out what the missing angles are, WITHOUT using a protractor?
A full turn is 360 degrees, so the angles around a point always add up to 360 degrees. Can you look at these diagrams and work out what the missing angles are, WITHOUT using a protractor?
Translating a shape
Translating a shape means moving it up or down or sideways without it changing shape or size. This shape needs to be translated 4 squares right and 3 squares up. Can you redraw it in its new location?
Reflecting a shape
Something is symmetrical when both sides of it are the same when cut in half. The line down the middle of a symmetrical shape is called the line of symmetry or mirror line. Can you draw this shape reflected in the mirror line?
Calculating perimeter
Imagine an ant crawling around the outside of a shape. The distance the ant walks is the shape’s perimeter. Can you measure the sides of these shapes by counting the squares and work out their perimeters?
Calculating area
Area is the name we use for the amount of space a surface takes up. You could measure the area of a small space like a table or a big space like the school field. We measure area in square units. Can you calculate the area of these shapes?
Calculating angles on a straight line
Angles on a straight line will always add up to 180 degrees. Can you work out what the missing angles are? Don’t try to measure them with a protractor – they are deliberately not drawn correctly!
Symmetry explained
Something is symmetrical when it is the same on both sides. Can you make this butterfly symmetrical by drawing the same patterns on its wings on both sides?