MCQ Questions

Question No. 1

A square has a side 5 cm long. Find its area.

Answer :

Question No. 2

A square has an area of 81 m². Find the length of its sides.

Answer :

Question No. 3

A square has an area of 16 mm². How many squares of area 4 mm² can fit inside it?

Answer :

Question No. 4

The sides of a square is 5 cm. If its side is doubled, how many times is the area of the new square larger than the area of the old square?

Answer :

Question No. 5

Draw any rectangle in each grid with the following area.

Answer :

a) Area = 10 square units

b) Area = 12 square units

c) Area = 25 square units

Question No. 6

Find the area of each rectangle.

Answer :

a)

b)

c)

d)

Question No. 7

Calculate the area of a rectangle which has a length of 15 cm and a breadth of 9.6 cm.

Answer :

Question No. 8

The area of a rectangular floor is 840 m². Given that the length of the floor is 35 m, find the breadth.

Answer :

Question No. 9

Calculate the area of a square with sides 7.2 cm.

Answer :

Question No. 10

A cornfield has an area of 0.0036 km². Express this area in square metres.

Answer :

Question No. 11

A football field is a rectangle with length 160 m and breadth 120 m. Calculate its area in:

Answer :

a) square metres

b) hectares.

Question No. 12

Find the area of the shaded portion in the figure below.

Answer :

Question No. 13

You are given the base or height of each triangle. Indicate the height or base in each case.

Answer :

a)

b)

c)

Question No. 14

Find the area of each of these triangles.

Answer :

a)

b)

c)

d)

Question No. 15

The area of a triangle is 24 cm². Given that the height of the triangle is 6 cm, find the length of the base of the triangle.

Answer :

Question No. 16

The length of the base and the height of a triangle are equal. Given that the area of the triangle is 24.5 cm², find the height of the triangle.

Answer :

Question No. 17

In the diagram below, AB = 15 mm, BC = 12 mm and CD = 40 mm.

Answer :

a) Find the length of AC.

b) Find the area of △ABD.

Question No. 18

Find the area of the triangle.

Answer :

Question No. 19

Find the area of the shaded region in the shape on the side.

Answer :

Question No. 20

Find the areas of the following parallelograms.

Answer :

a)

b)

c)

d)

e)

Question No. 21

Calculate the area of these parallelograms.

Answer :

a)

b)

c)

d)

Question No. 22

The area of a parallelogram is 90 cm². Given that the length of the base of the parallelogram is 15 cm, find the perpendicular distance between the bases.

Answer :

Question No. 23

The length of the base of a parallelogram is equal to the perpendicular distance between the parallel sides. If the area of the parallelogram is 324 cm², calculate the length of the base.

Answer :

Question No. 24

Find the size of the shaded area.

Answer :

Question No. 25

Find the area of each of these trapeziums.

Answer :

a)

b)

c)

d)

e)

f)

Question No. 26

Given trapezium ABCE.

Answer :

a) Calculate CD.

b) Calculate the area of trapezium ABCE.

Question No. 27

The rectangle and trapezium have the same area. What is the length (l) of the rectangle?

Answer :

Question No. 28

A trapezium has an area of 30 cm². The lengths of the sides are 2.3 cm and 7.7 cm respectively. Find the height of the trapezium.

Answer :

Question No. 29

Draw any closed shape in each grid with the following perimeters.

Answer :

a) Perimeter = 22 units

b) Perimeter = 30 units

c) Perimeter = 14 units

Question No. 30

Find the perimeter of each of these figures.

Answer :

a)

b)

Question No. 31

The perimeter of a square is 64 m. Find its length.

Answer :

Question No. 32

The perimeter of a triangle is 164 m. If two of its sides are 84 m and 40 m long, find the length of the third side.

Answer :

Question No. 33

Find the perimeter and area of kite ABCD.

Answer :

Question No. 34

Given that the perimeter of the trapezium ABCE is 36 cm, find the perimeter of △CDE.

Answer :

Question No. 35

Find the perimeter of each of these shapes.

Answer :

a)

b)

c)

d)

Question No. 36

First find the missing length(s). Then find the perimeter of the shapes.

Answer :

a)

b)

c)

d)

Question No. 37

Copy and complete the table below for rectangles.

Answer :

a)

b)

c)

d)

e)

f)

g)

h)

Question No. 38

Copy and complete the table below.

Answer :

Question No. 39

Draw a circle and label:

Answer :

a) the lines

b) the regions.

Question No. 40

Copy and complete the table on the right.

Answer :

Question No. 41

Find the area of the following shapes.

Answer :

a)

b)

c)

Question No. 42

Given that the circumference of a circle is 22 m, find the area of the circle.

Answer :

Question No. 43

A bicycle wheel makes 100 revolutions to cover a distance of 13 200 cm. What is the radius of the wheel?

Answer :

Question No. 44

Calculate the area of the shaded region.

Answer :

a)

b)

c)

Question No. 45

Find the area of each of these sectors. Take π as 22/7.

Answer :

a)

b)

c)

d)

Question No. 46

Taking π as 22/7, calculate the area of the shaded region.

Answer :

Question No. 47

The diagram shows a quadrant OAB of a circle with centre O and radius 14 cm. Calculate the area of the shaded region.

Answer :

Question No. 48

A circle has a radius of √21 cm. Calculate the angle the sector subtends at the centre when the area of the sector is 22 cm². Take π as 22/7.

Answer :

Question No. 49

Given that OA = 5 cm and AÔB = 90° (where O is the centre of the circle), calculate:

Answer :

a) the arc length AB

b) the area of minor sector AOB.

Question No. 50

Find the areas of these figures. All dimensions are in cm.

Answer :

a)

b)

Question No. 51

A rectangle has an area of 119 cm² and a breadth of 8 cm. Find its length.

Answer :

Question No. 52

A circle has an area of 450 cm². Find the radius of the circle (take π as 3.14).

Answer :

Question No. 53

Find the area of a circular path of 2 m wide that surrounds a circular flower bed of radius 8 m.

Answer :

Question No. 54

Imbiana is ordering new carpet for her L-shaped living room. What is the area of the living room?

Answer :

Question No. 55

A shape is cut from a sheet of cardboard. The shape is shown in the diagram below. What is the area of the shape?

Answer :

Question No. 56

Kufreabasi is painting a mural. The background is slanted stripes, as shown on the right. To buy paint, she must know how many square metres she will be covering. What is the area of one stripe?

Answer :

Question No. 57

Consider circle AB with centre O.

Answer :

a) Calculate the length of the minor arc AB.

b) Calculate the area of the major sector.

c) Calculate the percentage area of the circle that the major sector covers.

Question No. 58

The pendulum of a clock swings between 5 and 7, forming an acute angle.

Answer :

a) What is the size of the acute angle it forms?

b) If the length of the pendulum is 25 cm, calculate the length of the arc that is formed.

Question No. 59

The Delicious Ice Cream shop has a sign of an ice cream cone outside its entrance. It is represented in the diagram below. The sign consists of an isosceles triangle with height 8 cm and a semi-circle with a diameter of 10 cm. Find the area of the entire shape.

Answer :

Question No. 60

Kola had a circle which was marked with 12 numbered dots to help him draw clock faces. The circle has a diameter of 10 cm. Kola drew lines from the 12 to the 3, from the 3 to the 6, from the 6 to the 9 and then back from the 9 to the 12. Find the area of the shaded region.

Answer :

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