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Perimeter and Area Quiz Illustration | 1 million

There are 1 million mm² in 1 m².

Perimeter and Area 3 (Easy)

Perimeter and area are everywhere, from gardens to rooms. This 11 Plus Maths quiz helps you measure shapes and understand how maths connects to real life.

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Fascinating Fact:

The area of your garden decides how much grass to mow, but the perimeter decides how much fence you have to paint, both tiring but accurate maths.

In 11 Plus Maths, learning about perimeter and area builds practical understanding of shapes and measurements. Pupils use these skills to calculate lengths, surfaces, and space in both simple and combined figures.

Key Terms

Composite Shape: A shape made up of two or more simple shapes joined together.
Measurement: The process of finding the size or amount of something, often in centimetres or metres.
Conversion: Changing one unit of measure to another, such as centimetres to metres.

Parents can read our 11 Plus courses and materials guide to learn how to help children strengthen their maths knowledge.

Frequently Asked Questions (Click to see answers)

What is the perimeter of a composite shape?

Add together the lengths of all the outer sides. Make sure you only count each edge once around the shape.

How do I find the area of combined rectangles?

Find the area of each rectangle separately using length × width, then add them together for the total area.

Which units are used to measure perimeter and area?

Perimeter is measured in linear units such as centimetres or metres, while area is measured in square units like cm² or m².

Try These Related Quizzes

1 .

What is the formula for finding the area of a circle?

Area = π × r²

Area = 2π × r

Area = π × r³

Area = (π × r)²

Learn this fact! It's the radius that is squared, not ? × radius

2 .

What is the formula for finding the area of a right-angled triangle?

Area = base × height

Area = ¹⁄₂ × base × height

Area = ¹⁄₂ × base × height²

Area = ¹⁄₄ × base × height

A right-angled triangle is half a rectangle, so the formula is the same as that for a rectangle, halved

3 .

Two right-angled triangles, when put together, make a square with and area of 36 cm². What is the length of the base of each triangle (not the diagonal side)?

24 cm

18 cm

12 cm

6 cm

If two right angled triangles form a square, then the length of their bases will be equal to the length of the square’s sides.
If the square has an area of 36 cm², its sides will be 6 cm long: 6 x 6 = 36

4 .

How many square millimetres are there in 1 m²?

10,000

100,000

1 million

The area of a square = length x length:
There are 1,000 millimetres in 1 metre, so 1 m² = 1,000 x 1000 mm²
1,000 x 1,000 = 1 million

5 .

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

Perimeter = (2 × length) + (2 × width)

Perimeter = length + width

Perimeter = 4 × length

Perimeter = length × width

Do not confuse perimeter and area!

6 .

A square has an area of 120 cm². If it is cut from corner to corner into four right-angled triangles, what is the area of each triangle?

60 cm²

40 cm²

30 cm²

20 cm²

If a square is made up of 4 right-angled triangles, then just divide the area of the square by four to find the answer:
120 ÷ 4 = 30

7 .

What is the formula for finding the circumference of a circle?

Circumference = 2π x diameter

Circumference = π x diameter

Circumference = π x radius

Circumference = π x radius²

Another way to say this is circumference = ? x (radius x 2) because the diameter is twice the radius

8 .

A rectangle has a length of 8 cm and a width of 2 cm. What is its area in mm²?

16 mm²

16 cm²

160 mm²

1,600 mm²

The area of a rectangle = length x width:
8 x 2 = 16
There are 100 mm² in one cm² so 16 x 100 = 1,600

9 .

What is the area of a square whose sides are 1 metre long?

1 m²

10,000 cm²

1 million mm²

All of the above

1 x 1 = 1, so 1 metre is 1 m²
100 x 100 = 10,000, so 1 metre is 10,000 cm²
1,000 x 1,000 = 1 million, so 1 metre is 1 million mm²

10 .

A square has an area of 144 cm². What is the length of the square’s sides?

12 cm

14 cm

24 cm

28 cm

The area of a square = length × length:
144 cm² = length × length. If you know your times tables you will know that 12 x 12 = 144

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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