This is the second of our easy Eleven Plus maths quizzes on perimeter and area. If you have played the first then you will know that the perimeter is the lengths of the sides of a 2D shape added together. The perimeter of a circle is called the circumference. The area of a 2D shape is the ‘space’ enclosed by the shapes perimeter.

To calculate perimeter, circumference and area, you may find these formulae helpful:

- Area of a circle = π × r
^{2} - Circumference of a circle = 2π × r
- Area of rectangle = width x length
- Perimeter of rectangle = (width x 2) + (length x 2)

1.

The formula for finding the area of a circle is: Area = π × r^{2}. What is the value of π?

You will find π very useful in maths, so try to remember its value if you can

2.

A circle has a radius of 10 cm. If π = 3.142, what is the area of the circle?

31.42 cm^{2}

314.2 cm^{2}

3,142 cm^{2}

0.3142 cm^{2}

The formula for finding the area of a circle is: Area = π × r^{2}

3.

A square has an area of 96 cm^{2}. If it is cut from corner to corner into two right-angled triangles, what is the area of each triangle?

24 cm^{2}

36 cm^{2}

48 cm^{2}

96 cm^{2}

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

4.

A square has an area of 121 cm^{2}. What is the length of the square’s sides?

12 cm

11 cm

10 cm

9 cm

The area of a square = length × length:

121 = length × length. If you know your times tables you will know that 11 x 11 = 121

121 = length × length. If you know your times tables you will know that 11 x 11 = 121

5.

A rectangle has a length of 1.2 metres and a width of 1.5 metres. What is its area in cm^{2}?

180 cm^{2}

1,800 cm^{2}

18,000 cm^{2}

180,000 cm^{2}

The area of a rectangle = length x width:

1.2 x 1.5 = 1.8.

There are 10,000 cm^{2} in one m^{2} so 1.8 x 10,000 = 18,000

1.2 x 1.5 = 1.8.

There are 10,000 cm

6.

A rectangle has an area of 72 cm^{2}. It is 8 cm wide so, what is its length?

11 cm

8 cm

10 cm

9 cm

The area of a rectangle = length × width:

72 cm^{2} = length x 8:

72 ÷ 8 = 9

72 cm

72 ÷ 8 = 9

7.

A right-angled triangle has a base of 4.8 cm and a height of 6.4 cm. What is its area?

15.36 cm^{2}

28.8 cm^{2}

22.4 cm^{2}

23.04 cm^{2}

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

^{1}⁄_{2} x 4.8 x 6.4 = 15.36

8.

A square has a side length of 18 cm. What would be the area of two such squares in mm^{2}?

3,240 mm^{2}

32,400 mm^{2}

6,480 mm^{2}

64,800 mm^{2}

The area of a square = length x length:

18 x 18 = 324. There are two squares so, 324 x 2 = 648.

There are 100 mm^{2} in one cm^{2} so 648 x 100 = 64,800

18 x 18 = 324. There are two squares so, 324 x 2 = 648.

There are 100 mm

9.

What is the perimeter of a rectangle of width 6 cm and length 12 cm?

36 cm

72 cm

48 cm

18 cm

Perimeter of a rectangle = 2 × length + 2 × width:

(2 × 6) + (2 × 12) = 12 + 24 = 36 cm.

Do not confuse perimeter and area!

(2 × 6) + (2 × 12) = 12 + 24 = 36 cm.

Do not confuse perimeter and area!

10.

A square has an area of 9.6 cm^{2}. What is its area in mm^{2}?

96 mm^{2}

9,600 mm^{2}

960 mm^{2}

96,000 mm^{2}

There are 100 mm^{2} in one 1 cm^{2} so, to convert cm^{2} to mm^{2}, just multiply by 100