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Perimeter and Area - Class 7 Maths Free MCQ Test with solutions


MCQ Practice Test & Solutions: Test: Perimeter and Area (10 Questions)

You can prepare effectively for Class 7 Mathematics (Maths) Class 7 (Old NCERT) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Perimeter and Area". These 10 questions have been designed by the experts with the latest curriculum of Class 7 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Test: Perimeter and Area - Question 1

 Find the area of a triangle with a base of 20 cm and a height of 30 cm

Detailed Solution: Question 1

Test: Perimeter and Area - Question 2

The base in the area of parallelogram is

Detailed Solution: Question 2

Since area of parallelogram is base × height

So to find Base of parallelogram the formula is = Area of parallelogram / Height

So option A is the correct answer. 

Test: Perimeter and Area - Question 3

 What is the circumference of a circle of diameter 10 cm?

Detailed Solution: Question 3

The formula for the circumference of a circle is:

Circumference = π × diameter

Circumference = 3.14 ×10 = 31.4cm

Test: Perimeter and Area - Question 4

The height in the area of parallelogram is

Detailed Solution: Question 4

Since Area of parallelogram is base × height

So Height = Area of parallelogram / Base 

So option A is the correct answer. 

Test: Perimeter and Area - Question 5

The distance around a circular region is known as its_______.

Detailed Solution: Question 5

- The distance around a circular region is known as its circumference.
- Circumference is the term used to describe the perimeter of a circle.

Test: Perimeter and Area - Question 6

Which of the following has the formula : Base × Height

Detailed Solution: Question 6

  • The area of a parallelogram is calculated as Base × Height.
  • This formula works because the height is the perpendicular distance from the base to the opposite side.
  • Unlike triangles or trapeziums which require different calculations or coefficients, a parallelogram's area is directly obtained by multiplying its base by its height.
  • Thus, option 1 is the correct answer as per the provided solution.

Test: Perimeter and Area - Question 7

If the circumference of a circular sheet is 132 cm, its radius and area will be _____ cm and _____ cm².

Detailed Solution: Question 7

The circumference formula C = 2πr gives a radius of approximately 21 cm (since r = 132 / 2π ≈ 21). Using the area formula A = πr2, we find the area to be about 1386 cm². None of the options correctly present both values without ambiguity, making option D the correct choice.

Test: Perimeter and Area - Question 8

Find the area of a triangle with a base of 10 cm and a height of 30 cm

Detailed Solution: Question 8

We know Area of a triangle is bxh/2

where b is base and h is height

Given that base is 10 cm  and height is 30 cm

Area of a triangle 10 cm x 30 cm / 2

= 300 cm2/2     

= 150 cm2

So option A is the correct answer. 

Test: Perimeter and Area - Question 9

What is the area of the circle with a radius of 5 cm?

Detailed Solution: Question 9

The area of a circle can be calculated using the formula:

  • Area = π × r²

For a circle with a radius of 5 cm:

  • Substituting the radius into the formula:
  • Area = π × (5 cm)²
  • Area = π × 25 cm²

Using the approximate value of π (3.14):

  • Area ≈ 3.14 × 25 cm²
  • Area ≈ 78.5 cm²

To express this in a fraction form:

  • Area = 550/7 cm²

Thus, the area of the circle with a radius of 5 cm is 550/7 cm².

Test: Perimeter and Area - Question 10

Find the perimeter of a triangle with sides 4 cm, 6 cm and 10 cm

Detailed Solution: Question 10

Perimeter = Sum of all the sides 

Perimeter of a triangle = a+b+c

Here a = 4cm , b = 6cm , c =10cm

(6+4+10)cm=20cm

So option A is the correct answer. 

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