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

Yes. Every practice question is modeled on the CBSE Class 6 Mathematics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Perimeter And Area free?

Yes. Every chapter includes free practice questions for Class 6 students to get you started.

What types of questions are included?

The practice set for Perimeter And 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 Perimeter And Area for full coverage.

How many practice questions are there for Perimeter And Area?

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

Perimeter And Area Class 6 Mathematics Practice Questions with Answers

easy

Justify why simply adding the perimeters of two rectangles that are joined together does not give the correct perimeter of the new composite shape.

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easy

The perimeter of a regular hexagon is

108 \text{ cm}

. Calculate the length of one of its sides.

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easy

State the formula for calculating the perimeter of a square.

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easy

List the formulas for the perimeter of a rectangle, a square, and an equilateral triangle.

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easy

Propose a general formula for the perimeter of a regular polygon with 'n' sides, where the length of each side is 's'. Justify your formula.

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easy

Calculate the perimeter of a square park whose area is

81 \text{ m}^2

.

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easy

Formulate a step-by-step method to calculate the area of an L-shaped figure with given outer dimensions. Justify your method by explaining why it works.

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easy

State the formula for the area of a rectangle and explain what each variable in the formula represents.

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easy

The area of a rectangular hall is

240 \text{ sq m}

. If its length is

20 \text{ m}

, calculate its breadth.

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easy

Define the term 'perimeter' as it relates to a closed plane figure.

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easy

Explain how to find the perimeter of a triangle with sides of lengths a, b, and c.

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easy

What is the definition of the 'area' of a closed figure?

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medium

The areas of a square and a rectangle are equal. The side of the square is

20 \text{ cm}

. If the length of the rectangle is

25 \text{ cm}

, calculate the breadth and the perimeter of the rectangle.

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medium

A farmer wants to fence a rectangular field of area

600

sq m. He wants to use the minimum possible length of fencing. Propose the dimensions of the field that would be most economical. Justify your proposal by comparing it with at least one other possible dimension.

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medium

Design two different rectangles that both have an area of

36

square units. Evaluate which of your designs has the smaller perimeter and justify your choice with calculations.

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medium

Describe the relationship between the area of a rectangle and the area of a triangle formed by cutting the rectangle along one of its diagonals.

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medium

An architect claims that for any given perimeter, a square will always enclose a smaller area than a non-square rectangle. Critique this statement. Is it correct? Justify your answer with an example.

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medium

Name the type of polygon that has all its sides and all its angles equal.

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medium

Calculate the area of a square whose perimeter is

60 \text{ m}

.

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medium

Evaluate the following statement: 'If the area of rectangle A is greater than the area of rectangle B, then the perimeter of rectangle A must also be greater than the perimeter of rectangle B.' Is this always true? Justify your conclusion.

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medium

A rectangular park is

45

m long and

30

m wide. A path

2.5

m wide is constructed outside the park. Formulate a plan to calculate the cost of paving this path at a rate of ₹120 per square meter. Justify each step of your plan.

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medium

A room is

12 \text{ m}

long and

9 \text{ m}

wide. Calculate the number of square tiles of side

30 \text{ cm}

required to cover the floor of the room.

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medium

A square garden has a perimeter of

48

m. A second rectangular garden has the same area as the square garden, but its length is

4

m longer than its width. Evaluate which garden would require more fencing material. Create a conclusive argument supported by calculations.

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medium

Explain why the perimeter of a square with side length 's' can be calculated as

4 \times s

.

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medium

Explain the general rule to find the perimeter of any regular polygon. Provide examples for a regular pentagon and a regular hexagon.

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medium

Identify the standard unit used for measuring area.

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medium

The cost of fencing a square field at a rate of ₹

22

per metre is ₹

8,800

. Calculate the length of the side of the field.

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medium

Ayan runs 5 rounds around a rectangular park of length

80 \text{ m}

and breadth

45 \text{ m}

. Calculate the total distance he covers.

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medium

By splitting the given T-shaped figure into two rectangles, calculate its total area. All measurements are in centimetres.

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medium

Describe in detail the procedure for finding the area of a floor that is not covered by a carpet. Assume the floor is rectangular and the carpet is square.

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medium

A rectangular floor is

15 \text{ m}

long and

10 \text{ m}

wide. A carpet is laid in the center of the room, leaving a uniform margin of

1.5 \text{ m}

all around. Calculate: a) The area of the carpet. b) The area of the floor that is not carpeted.

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medium

A wire is in the shape of a rectangle of length

18 \text{ cm}

and breadth

12 \text{ cm}

. If the same wire is rebent into the shape of a square, calculate the length of the side of the square. Analyze which shape encloses more area.

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medium

Summarize the steps to find the perimeter of a rectangular park with a length of 50 m and a breadth of 30 m.

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hard

From a rectangular piece of cardboard measuring

25 \text{ cm}

by

20 \text{ cm}

, two square pieces of side

5 \text{ cm}

are cut from two opposite corners. Calculate the area and perimeter of the remaining piece of cardboard.

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hard

Design a floor plan for a single room that is not a simple rectangle or square, but a composite shape made of two rectangles. The total area of the room must be exactly

120

square feet. The total length of the wall (perimeter) must be exactly

50

feet. Create a labeled diagram of your design and provide calculations to justify that it meets both the area and perimeter requirements.

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hard

A rectangular park is

50 \text{ m}

long and

30 \text{ m}

wide. A path

2.5 \text{ m}

wide is constructed outside the park. Calculate the area of the path.

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hard

Recall the convention for counting squares to estimate the area of an irregular shape on a grid paper.

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hard

Create a composite figure using two rectangles, where the total area is

50

sq m and the total perimeter is exactly

30

m. Provide a diagram with dimensions and justify your solution with calculations.

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hard

Summarize the difference between perimeter and area. Use a square with a side length of 5 cm to illustrate your explanation.

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hard

A piece of wire is

48

cm long. Propose two different regular polygons that can be formed using this wire. Evaluate which of the two proposed shapes encloses a greater area. (You may compare a square and an equilateral triangle).

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hard

A farmer has a rectangular field measuring

120 \text{ m}

in length and

80 \text{ m}

in breadth. He wants to fence it with 3 rounds of barbed wire. The cost of the wire is ₹

15

per metre. A gate of width

4 \text{ m}

is to be left for entry. Calculate the total cost of the wire needed.

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hard

Formulate a general rule to predict the change in the perimeter of a shape made of unit squares on a grid, when a single new unit square is added. Your rule must account for the different possible placements of the new square. Justify your rule with diagrams and examples.

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hard

A square of side

4

cm is cut from a corner of a larger rectangular sheet of paper measuring

10

cm by

8

cm. Critique the method of finding the perimeter of the remaining shape by subtracting the perimeter of the small square from the perimeter of the large rectangle. Is this method correct? Justify your reasoning.

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hard

Compare two parks: a square park with a side of

35 \text{ m}

and a rectangular park with dimensions

40 \text{ m} \times 30 \text{ m}

. a) Calculate which park has a larger area and by how much. b) A person walks three rounds of each park. Calculate the total distance walked in each case and analyze in which park the person walks a longer distance.

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hard

Two friends, Rohan and Priya, are given identical rectangular sheets of paper measuring

20

cm by

12

cm. Rohan cuts his sheet into four equal smaller rectangles. Priya cuts her sheet along one diagonal to get two triangles. They both rearrange their pieces to form new shapes without overlap. Propose whose set of pieces, when added together, will have a greater total perimeter. Justify your conclusion with detailed calculations and reasoning.

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Perimeter And AreaClass 6 Mathematics Practice Questions