CBC Mathematics Practice

Perimeter, Area and Circumference Questions

Look carefully at each diagram, work out the answer on a separate paper, then choose the correct answer. Use π = 22/7 for circle questions.

Instructions

Before you begin

  • Look at each image carefully.
  • Work out the answer on a separate paper.
  • Choose the correct answer.
  • Use π = 22/7 for circle questions.
Perimeter = distance around Area = space inside Circumference = circle perimeter
1

The image shows a triangle with sides 5 cm, 7 cm and 8 cm. What is the perimeter?

Triangle5 cm7 cm8 cm

Hint: Add all the three sides.

2

The image shows a rectangle with length 12 cm and width 7 cm. What is the perimeter?

Rectangle12 cm7 cm

Hint: Use Perimeter = 2 × (length + width).

3

The image shows a square with each side measuring 9 cm. What is the perimeter?

Square9 cm9 cm9 cm9 cm

Hint: Use Perimeter = 4 × side.

4

The image shows a combined shape with outside sides 5 cm, 3 cm, 7 cm, 5 cm, 8 cm and 12 cm. What is the perimeter?

Combined Shape5 cm5 cm3 cm7 cm8 cm12 cm

Hint: Add all the outside sides only.

5

The image shows a circle with radius 7 cm. What is the circumference?

Circle Using Radius7 cm

Hint: Use Circumference = 2 × π × radius.

6

The image shows a circle with diameter 14 cm. What is the circumference?

Circle Using Diameter14 cm

Hint: Use Circumference = π × diameter.

7

The image shows a rectangle with length 15 cm and width 6 cm. What is the area?

Rectangle15 cm6 cm

Hint: Use Area = length × width.

8

The image shows a parallelogram with base 12 cm and height 5 cm. What is the area?

Parallelogram5 cm12 cm

Hint: Use Area = base × height.

9

The image shows a rhombus with diagonals 10 cm and 8 cm. What is the area?

Rhombus10 cm8 cm

Hint: Use Area = 1/2 × diagonal 1 × diagonal 2.

10

The image shows a trapezium with parallel sides 8 cm and 14 cm. The height is 6 cm. What is the area?

Trapezium8 cm14 cm6 cm

Hint: Use Area = 1/2 × (sum of parallel sides) × height.

11

The image shows a circle with radius 7 cm. What is the area?

Circle7 cm

Hint: Use Area = π × radius × radius.

12

The image shows a circular border with outer radius 14 cm and inner radius 7 cm. What is the area of the border?

Circular Border14 cm7 cm

Hint: Find the outer circle area, then subtract the inner circle area.

13

The image shows a rectangular border. The outer rectangle is 18 cm by 12 cm. The inner rectangle is 14 cm by 8 cm. What is the area of the border?

Rectangular Border18 cm12 cm14 cm8 cm

Hint: Find the outer rectangle area, then subtract the inner rectangle area.

14

The image shows a square border. The outer square has side 12 cm. The inner square has side 8 cm. What is the area of the border?

Square Border12 cm12 cm8 cm

Hint: Find the outer square area, then subtract the inner square area.

15

The image shows a combined shape made of a rectangle and a triangle. The rectangle measures 10 cm by 6 cm. The triangle has base 10 cm and height 4 cm. What is the total area?

Rectangle + Triangle4 cm10 cm6 cm

Hint: Find the area of the rectangle and the triangle, then add them.

16

True or False: Perimeter means the distance around a shape.

Hint: Think about the outside boundary of a shape.

17

True or False: Area is measured in cm, m or km.

Hint: Area is measured in square units.

18

True or False: Circumference means the distance around a circle.

Hint: Circumference is the perimeter of a circle.