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The surface area of a cube (such as a dice) with sides of 5cm is 150cm².

Perimeter and Area (Year 6)

In Year 6 perimeter and area, pupils tackle more complex shapes, including irregular forms. These skills help solve challenging maths problems and connect directly to real-life contexts.

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Fascinating Fact:

The Colosseum in Rome has an elliptical perimeter of about 527 metres.

In KS2 Maths, Year 6 pupils expand their understanding of perimeter and area by working with irregular shapes, compound figures, and circles. These concepts prepare them for secondary-level geometry.

Key Terms

Ellipse: An oval shape, like a stretched circle, often used to measure real-life structures such as stadiums.
Irregular shape: A figure where not all sides or angles are equal, making area and perimeter more challenging to calculate.
Surface area: The total area covering the outside surface of a 3D object.

Frequently Asked Questions (Click to see answers)

How do you work out the perimeter of an irregular shape?

To find the perimeter of an irregular shape, measure and add up the lengths of all the outer sides. Each edge must be included only once.

How do you calculate the area of compound shapes?

Divide the compound shape into simpler rectangles or triangles, work out each area, and then add them together for the total area.

Why do we need to learn perimeter and area?

Perimeter and area are used in real life to measure land, design buildings, plan gardens, and even work out space in sports fields.

Try These Related Quizzes

1 .

What is the surface area of a cuboid with measurements of 4cm x 5cm x 6cm?

74cm²

100cm²

148cm²

174cm²

2 of the faces will be 4cm x 5cm = 20cm²
2 of the faces will be 4cm x 6cm = 24cm²
2 of the faces will be 5cm x 6cm = 30 cm²
20 + 20 + 24 + 24 + 30 + 30 = 148

2 .

What is the surface area of a cube with sides of 5cm?

25cm²

75cm²

125cm²

150cm²

The area of each face is 25cm². There are 6 faces, so multiply 25cm² by 6 to give 150cm²

3 .

What is the area of a right angle triangle with width 12cm and length 6cm?

18cm²

36cm²

72cm²

148cm²

12 x 6 = 72
72 ÷ 2 = 36

4 .

What is the perimeter of a regular octagon with sides of 12cm?

20cm

56cm

96cm

160cm

Octagons have 8 sides so 12 x 8 = 96

5 .

1cm² is equivalent to how many mm²?

1mm²

10mm²

100mm²

1,000mm²

There are 10mm in a cm so 10 x 10 = 100

6 .

How would you find the area of an L-shape?

Divide into rectangles; work out the areas of each and then divide one by the other

Divide into rectangles; work out the areas of each and then multiply one by the other

Divide into rectangles; work out the areas of each and then add together

Divide into rectangles; work out the areas of each and then subtract one from the other

Always simplify shapes if you can

7 .

A regular heptagon has a perimeter of 63cm. What length is each side?

6.3cm

9cm

10cm

12cm

A regular heptagon has 7 equal sides. To find the length of each side divide the perimeter by 7

8 .

What is the formula for calculating the area of a rectangle?

2 x length x 2 x width

2 x length + 2 x width

Length + width

Length x width

A rectangle measuring 60cm by 45cm would have an area of 2,700cm²

9 .

What is the perimeter of a regular decagon with sides of 23cm?

46cm

115cm

200cm

230cm

A regular decagon has 10 equal sides, so we multiply the length of the side by 10 to calculate the perimeter

10 .

How do we calculate the area of a right angled triangle?

Length x width then halve

Length + width then double

Length x width then double

Length x width then quarter

Right angled triangles are rectangles cut in half so the formula is the same as for a rectangle but then halved

You can find more about this topic by visiting BBC Bitesize - How to work out an area

Author: Amanda Swift (Primary School Teacher & Educational Content Developer)

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