**The perimeter is the sum of the lengths of the sides that enclose a 2D shape,** e.g. the sum of the four sides of a square make up the perimeter of the square. The area of a closed 2D shape is the space enclosed by the perimeter of the shape.

The following symbols may be of use in doing this quiz:

- millimetre (mm); centimetre (cm); metre (m)
- square millimetre (mm
^{2}); square centimetre (cm^{2}); square metre (m^{2})

Do this 11-plus Maths quiz and revise a few simple ideas about perimeter and area. When you are comfortable, move onto our next two quizzes on the same subject. Good luck!

1.

A right angled triangle has an area of 45 cm^{2}. What is the area of the rectangle formed by using two such triangles?

90 cm

90 cm^{2}

180 cm^{2}

180 cm

Double the area of the given triangle: two right angled triangles form a square or a rectangle

2.

If you are provided with a ruler, what would be the best way to find the area of a square?

Measure the length of one side and multiply it with itself

Measure the length of two sides and multiply them together

Measure the length of one side and multiply it with four

Measure the length of one side and multiply it with two

The area of a square = length × width BUT length = width in a square

3.

How many square centimetres are there in 1 m^{2}?

1,000

100

10,000

10

1 square metre = 1 m × 1 m = 1 m^{2}. 1 m equals 100 cm BUT 1 m^{2} = 100 cm × 100 cm = 10,000 cm^{2}

4.

A square has a side length of 6 cm. If the square is cut along one of its diagonals, what will be the area of one of the resulting triangles?

36 cm^{2}

18 cm

18 cm^{2}

72 cm^{2}

The sides which form the right angle are both of length 6 cm ∴ area = ^{1}⁄_{2} × base × height = ^{1}⁄_{2} × 6 × 6 = 18 cm^{2}

5.

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

Area = 2 × π × r

Area = π × r^{2}

Area = π × r^{3}

Area = π × r

Learn this fact! π = ^{22}⁄_{7} or about 3.14

6.

What is the perimeter of a circle called?

Circularize

Circumscribe

Circumference

Circumflex

Learn this fact!

7.

What is the perimeter of a rectangle of width 10 cm and length 14 cm?

140 cm

48 cm^{2}

140 cm^{2}

48 cm

Perimeter of a rectangle = 2 × length + 2 × width = 2 × 14 + 2 × 10 = 28 + 20 = 48 cm

8.

How many square millimetres are there in 1 cm^{2}?

10

10,000

1,000

100

1 cm^{2} = 1 cm × 1 cm = 1 cm^{2}. 1 cm equals 10 mm BUT 1 cm^{2} = 10 mm × 10 mm = 100 mm^{2}

9.

If you are provided with a ruler, what would be the best way to find the area of a right angled triangle?

Measure the lengths of the sides that form the right angle and multiply this by two

Measure the lengths of the sides that form the right angle, multiply them and divide this by two

Measure the lengths of the hypotenuse and multiply this by two

Measure the length of one of the sides that forms the right angle, and the length of the hypotenuse. Multiply these together and then divide by two

Area of a triangle = ^{1}⁄_{2} × base × height

10.

If you are provided with a ruler, what would be the best way to find the area of a rectangle?

Measure the length and width and multiply each of them by two. Finally, add these results together

Measure the lengths of the length and the width and add them together

Measure the lengths of the length and the width and multiply them together

Measure the length of one side and multiply it with itself

The area of a rectangle = length × width

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