Are these practice questions for Area based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 8 Mathematics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Area free?

Yes. Every chapter includes free practice questions for Class 8 students to get you started.

What types of questions are included?

The practice set for Area mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Area for full coverage.

How many practice questions are there for Area?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Area Class 8 Mathematics Practice Questions with Answers

easy

Define the term 'area' as it relates to a two-dimensional figure.

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easy

Calculate the area of a parallelogram with a base of

15

cm and a corresponding height of

7

cm.

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easy

A triangle has a base of 14 m and a corresponding height of 10 m. Identify the correct formula and calculate its area.

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easy

Propose a method to divide a regular hexagon into exactly three rhombuses of equal area and justify why their areas are equal.

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easy

A rectangle has a length of 15 cm and a width of 8 cm. Recall the formula and find its area.

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easy

State the formula for the area of a triangle, identifying the variables used.

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easy

Explain the relationship between the area of a triangle and the area of a rectangle that encloses it, sharing the same base and height.

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easy

In

\triangle PQR

, M is the midpoint of side QR. Prove that the median PM divides the triangle into two triangles of equal area.

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easy

State the formula for the area of a parallelogram.

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medium

A field is in the shape of a trapezium. The area of the field is

1350 \text{ m}^2

and the perpendicular distance between its parallel sides is

30

m. If one of the parallel sides is

50

m, calculate the length of the other parallel side.

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medium

Justify why the formula Area =

\frac{1}{2} \times \text{base} \times \text{height}

is valid even for an obtuse triangle where the altitude falls outside the triangle.

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medium

Critique the following statement and provide a counterexample: "If a parallelogram has a larger perimeter than another parallelogram, it must also have a larger area."

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medium

Explain in detail why the perimeter of a region is not a reliable measure of its area. Support your explanation by describing two different rectangles that have the same perimeter but different areas.

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medium

A kite is a quadrilateral with two pairs of equal-length sides that are adjacent to each other. Its diagonals are perpendicular. Derive a formula for the area of a kite with diagonals of lengths

d_1

and

d_2

.

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medium

List the formulas for the area of a square, a rectangle, and a circle. Define all variables used.

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medium

In quadrilateral PQRS, the diagonal PR is

25

cm long. The lengths of the perpendiculars from vertices Q and S to the diagonal PR are

6

cm and

8

cm, respectively. Calculate the area of the quadrilateral PQRS.

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medium

The area of a parallelogram is

120 \text{ cm}^2

. If the length of its base is

15

cm, calculate the corresponding altitude. If the other altitude measures

10

cm, what is the length of its corresponding side?

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medium

List the names of the measurements required to find the area of a trapezium.

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medium

The floor of a hall is

20

m long and

15

m wide. It is to be tiled with rhombus-shaped tiles whose diagonals are

50

cm and

40

cm. Calculate the number of tiles required to cover the entire floor.

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medium

A trapezium has parallel sides of length 12 cm and 18 cm. The height of the trapezium is 10 cm. Recall the formula and find its area.

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medium

Explain why a median of a triangle divides it into two triangles of equal areas.

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medium

Find the area of a trapezium whose parallel sides are

20

cm and

12

cm long, and the distance between them is

15

cm.

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medium

A square park has a perimeter of

48

m. A rectangular park has a length of

15

m and a breadth of

10

m. Analyze which park has a larger area and by how much.

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medium

A rectangular park measures

80 \text{ m}

by

60 \text{ m}

. A pathway of uniform width 'w' is to be built along the inside border of the park. The area of the pathway must be equal to the area of the grass lawn inside it. Formulate an algebraic equation in terms of 'w' that represents this condition. You do not need to solve the equation.

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medium

The base of a triangular field is four times its height. If the cost of cultivating the field at ₹24 per square meter is ₹432, calculate the base and height of the field.

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medium

The area of a triangle is

48 \text{ cm}^2

. If its base measures

12

cm, calculate the length of its corresponding altitude.

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medium

Describe the general method used to find the area of any irregular polygon (for example, a pentagon or an octagon). Explain the fundamental shape that this method relies on.

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medium

Justify why the two diagonals of a parallelogram divide it into four triangles of equal area.

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medium

Design a trapezium with an area of

60 \text{ cm}^2

and a height of

6 \text{ cm}

, where one parallel side is

4 \text{ cm}

longer than the other. Formulate the steps to find the lengths of the parallel sides.

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medium

Recall the formula for the area of a rhombus using the lengths of its diagonals.

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medium

Create a composite shape made of a single rectangle and a single triangle attached to one of its sides, such that the total area is exactly

96 \text{ cm}^2

. The rectangle must have dimensions

8 \text{ cm} \times 10 \text{ cm}

. Design the dimensions for the attached triangle and justify your design.

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medium

Prove that the area of a trapezium with parallel sides 'a' and 'b' and height 'h' is given by Area =

\frac{1}{2}h(a+b)

. Your proof must be based on dissecting the trapezium into one parallelogram and one triangle.

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hard

A rectangular lawn is

60

m long and

40

m wide. A gravel path

2

m wide is to be built all around the inside of the lawn. Calculate the area of the gravel path.

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hard

The diagonals of a rhombus are

16

cm and

12

cm. Calculate its area and the length of its side.

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hard

In

\triangle XYZ

, P is the midpoint of the median YM. Analyze the relationship between the areas of

\triangle XYP

and

\triangle XYZ

and find Area(

\triangle XYP

) if Area(

\triangle XYZ

) is

56 \text{ cm}^2

.

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hard

A regular octagon with side length 's' is formed by cutting four identical isosceles right-angled triangles from the corners of a square. Formulate an expression for the area of this octagon in terms of 's'.

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hard

A square and a rhombus are constructed with the same side length of

10 \text{ cm}

. Evaluate which shape will have a greater area and justify your conclusion. Under what condition would their areas be equal?

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hard

The parallel sides of a trapezium are

30

cm and

10

cm. Its non-parallel sides are both equal, each being

13

cm. Calculate the area of the trapezium.

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hard

Two crossroads, each of width

5

m, run at right angles through the center of a rectangular park of length

90

m and breadth

60

m, parallel to its sides. Calculate the area of the roads. Also, calculate the cost of constructing the roads at the rate of ₹110 per m².

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hard

Explain why any two triangles that have the same base and lie between the same pair of parallel lines must have equal areas.

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hard

If M and N are the midpoints of sides XY and XZ of

\triangle XYZ

respectively, prove that the area of

\triangle XMN

is one-fourth the area of

\triangle XYZ

.

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hard

Design and describe a method using dissection (cutting and rearranging pieces) to transform a given parallelogram into a triangle of equal area. Justify why the area is conserved.

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hard

A student claims that the area of any quadrilateral can be found by the formula Area =

\frac{1}{2} \times d_1 \times d_2

, where

d_1

and

d_2

are the diagonals. Evaluate this claim.

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hard

Summarize how a parallelogram can be transformed into a rectangle of equal area through dissection. Use a description of the steps and explain why the areas are equal.

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AreaClass 8 Mathematics Practice Questions