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Perimeter and Area illustration | Puzzle cube

If you find cubes confusing, then this quiz will help!

Perimeter and Area 3 (Difficult)

This 11 Plus Maths quiz challenges your understanding of perimeter and area in curved and 3D shapes, helping you tackle tricky exam questions with confidence.

Explore the Topic →

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Fascinating Fact:

When you build a snowman, each ball’s surface area controls how much snow it needs, meaning bigger snowmen require exponential effort.

In 11 Plus Maths, pupils learn how area and perimeter apply to circles, cylinders, and spheres. Understanding these relationships helps with complex geometry and problem-solving questions.

Key Terms

Sphere: A perfectly round 3D object where every point on the surface is the same distance from the centre.
Curved Surface Area: The area covering the outer curved surface of a 3D shape like a cylinder or cone.
Pi: A mathematical constant used to calculate the area and circumference of circles, approximately equal to 3.14.

Parents can explore our 11 Plus courses and materials guide to learn how geometry and measurement topics are tested in the maths exam.

Frequently Asked Questions (Click to see answers)

How do you find the surface area of a sphere?

Use the formula 4 × pi × radius squared. For example, if the radius is 5 cm, the surface area is about 314 cm².

What is the difference between circumference and perimeter?

Perimeter measures the distance around a shape, while circumference is the perimeter of a circle.

Why is surface area important in real life?

Surface area helps in real-world applications like painting walls, wrapping gifts, or designing containers that use materials efficiently.

Try These Related Quizzes

1 .

Circle A has a radius of 10 cm and a circumference of 63 cm. If it is cut into two equal sized semicircles, what is the circumference of one of those semicircles?

51.5 cm

41.5 cm

31.5 cm

21.5 cm

If you cut a circle into two semicircles their circumference will be half the circle’s circumference + the circle’s diameter (radius x 2).
(63 ÷ 2) + (10 x 2) = 31.5 + 20 = 51.5 cm

2 .

A right-angle triangle has a base of 16 cm and a height of 12 cm. What is its area?

192 cm²

96 cm²

146 cm²

73 cm²

The area of a right-angle triangle = (base × height) ÷ 2.
(16 x 12) ÷ 2 = 192 ÷ 2 = 96 cm²

3 .

The height of a cube is 4 cm. What is its total surface area?

32 cm²

64 cm²

96 cm²

3D shapes do not have area

3D shapes do have an area, which we call 'surface area'.
A cube has six faces, each of which is a square, so to find its surface are we work out the area of one face and then multiply by 6
4 x 4 x 6 = 96 cm²

4 .

Circle A has an area of 64 cm². Circle B has a radius a quarter the size of Circle A’s radius. What is the area of circle B?

16 cm²

24 cm²

32 cm²

48 cm²

If you double the area of a circle, the radius is decreased fourfold (divided by 4). Conversely, if you decrease the radius of a circle by dividing it by 4, the area is halved

5 .

A cuboid has a height of 5 cm. What is its surface area?

150 cm²

125 cm²

100 cm²

Not enough information to answer the question

The surface area of a cube = height x height x 6 (because it has 6 faces). However, the surface area of a cuboid is length x height x 6. We do not know the length of this cuboid, so we cannot answer the question.
Make sure you don’t confuse cuboids with cubes!

6 .

A regular decagon has sides measuring 7 cm each. What is its perimeter?

70 cm

63 cm

56 cm

49 cm

The length of the perimeter of a regular polygon is found by multiplying the length of one of its sides by the number of sides. Decagons have ten sides, so 7 x 10 = 70 cm

7 .

A cube has a height of 2 cm. What is its volume?

24 cm³

8 cm²

8 cm³

6 cm³

The volume of a cube = length³:
2 x 2 x 2 = 8 cm³.
Make sure you don’t confuse cubed with squared!

8 .

Square A has an area of 25 cm². Square B is twice as wide as square A. What is the area of square B?

50 cm²

75 cm²

100 cm²

125 cm²

If you double the width of a square, its area quadruples (times by 4). Here’s the proof:
Square A: 5 x 5 = 25
Square B: 10 x 10 = 100

9 .

What is the area of a circle whose diameter = 20 cm (take pi to be 3.142)?

1,256.8 cm²

314.2 cm²

125.6 cm²

31.42 cm²

The formula for the area of a circle is ?r². As you know, the radius is half the diameter, so the area of this circle will be:
3.142 x (20 ÷ 2)² =
3.142 x 10²
3.142 x 100 = 314.2 cm²

10 .

What do we call the longest side of a right-angled triangle?

The scalene

The isosceles

The hypotenuse

The equilateral

It’s the side opposite the right-angle

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