Mensuration Class 7 MCQ Questions with Answers Maths are covered in this Article. Mensuration Class 7 MCQ Test contains 25 questions. Answers to MCQs on Mensuration Class 7 are available at the end of the last question. These MCQ have been made for Class 7 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge.
Mensuration Class 7 MCQ Questions with Answers
1.Find the area of rectangle in which:
length = 8 cm and breadth = 10 cm
(a) 56 cm2
(b) 64 cm2
(c) 80 cm2
Answer
Answer: (c) 80 cm2
Explanation: Given,
length = 8 cm
breadth = 10 cm
Area of rectangle = ( length x breadth ) cm2
= ( 8 x 10 ) cm2
= 80 cm2
Hence, the area of rectangle is 80 cm2
2.Find the area of a square plot of side 13 cm?
(a) 182 cm2
(b) 169 cm2
(c) 156 cm2
Answer
Answer: (b) 169 cm2
Explanation: Sides of square = 13cm
Area of square = ( side x side ) cm2
= ( 13 x 13 ) cm2
= 169 cm2
Hence, the area of square plot is 169 cm2
3.The area of a rectangle is 300 cm2 and its length is 25 cm. Find the perimeter of the rectangle?
(a) 74 cm
(b) 66 cm
(c) 60 cm
Answer
Answer: (a) 74 cm
Explanation: Given
Area = 300 cm2
length = 25 cm
Breadth of the rectangle = (area in cm2)/(Length in cm) = (300cm2/25cm) = 300cm/25 = 12 cm
Perimeter of the rectangle = 2 x ( l + b ) cm
= 2 x ( 25 + 12 ) cm
= ( 2 x 37 ) cm
= 74 cm
Hence, perimeter of the rectangle is 74 cm
4.If Each Diagonal of a Square is 34 cm long, find its Area?
(a) 528 cm2
(b) 608 cm2
(c) 578 cm2
Answer
Answer: (c) 578 cm2
Explanation: Given:
Diagonal of Square = 34 cm
We know that,
Diagonal of Square = ( √ 2 ) x Length of each side
34 cm = ( √ 2 ) x Length of each side
Length of each side = 34/√2 cm
Length of each side = 17√2 cm
We know that,
Area of Square = (Side)2
Area of Square = (17√2cm)2
Area of Square = 578cm2
5. If the Area of Square is 512 cm2, find the length of its diagonals?
(a) 30 cm
(b) 32 cm
(c) 36 cm
Answer
Answer: (b) 32 cm
Explanation: Given:
Area of Square = 512 cm2
We know that,
Area of Square = (Side)2
then,
(Side)2= 512cm2
Taking square root on both sides
√(Side)2= √512cm2
Side = 16 √ 2 cm
Side of Square = 16 √2 cm
Diagonal of Square = √2 x Side of Square
Diagonal of Square = √2 x 16 √2 cm
Diagonal of Square 32 cm
Mensuration Class 7 MCQ Questions with Answers
6. If the length of a rectangle is 12 cm and the length of its diagonal is 20 cm, find the area of rectangle?
(a) 186 cm2
(b) 198 cm2
(c) 192 cm2
Answer
Answer: (c) 192cm2
Explanation: Given:
Length = 12 cm
Diagonal = 20 cm
We know that,
Diagonal of Rectangle = √(Length)2+(Breadth)2
20 cm = √(12cm)2+(Breadth)2
Squaring both sides,
(20cm)2 = (√(12cm)2+(Breadth)2)2
400cm2=(12cm)2+(Breadth)2
400cm2=144cm2+(Breadth)2
(Breadth)2=(400−144)cm2
(Breadth)2=256cm2
Breadth = 16 cm
Since, Breadth = 16 cm
and we know that,
Area of Rectangle = Length x Breadth
Area of Rectangle = 12 cm x 16 cm
Area of Rectangle = ( 12 x 16 ) cm2
Area of Rectangle = 192 cm2
Hence, Area of Rectangle is 192 cm2
7.If the breadth of the rectangle is 24 cm and the length of its diagonal is 25 cm, find the area of rectangle?
(a) 174 cm2
(b) 168 cm2
(c) 180 cm2
Answer
Answer: (b) 168 cm2
Explanation: Given:
Breadth = 24 cm
Diagonal = 25 cm
We know that,
Diagonal of Rectangle = √(Length)2+(Breadth)2
25 cm = √(Length)2+(24cm)2
Squaring both sides,
(25cm)2=(√(Length)2+(24cm)2)2
625cm2=(Length)2+(24cm)2
625cm2=(Length)2+(24cm)2
(Length)2=(625−576)cm2
(Length)2 = 49cm2
Length = 7 cm
Since, Length = 7 cm
We know that,
Area of Rectangle = Length x Breadth
Area of Rectangle = 24 cm x 7 cm
Area of Rectangle = ( 24 x 7 ) cm2
Area of Rectangle = 168 cm2
Hence, Area of Rectangle is 168 cm2
8.If the length of the diagonals of Rhombus are 7 cm and 8 cm, then its Area is ?
(a) 33 cm2
(b) 23 cm2
(c) 28 cm2
Answer
Answer: (c) 28 cm2
Explanation: Given:
Length of Diagonals:
D1 = 7 cm
D2 = 8 cm
We know that,
Area of Rhombus = ( (1/2) x Product of Diagonals ) sq units
Area of Rhombus = ( (1/2) x 7 x 8 ) cm2
Area of Rhombus = 28 cm2
Hence, the Area of the Rhombus is 28 cm2
9.The Area of a Rhombus is 20 cm2. If one of its Diagonals is 5 cm, the length of the other diagonal is ?
(a) 4 cm
(b) 8 cm
(c) 12 cm
Answer
Answer: (b) 8 cm
Explanation: Given:
Area of Rhombus = 20 cm2
Length of one diagonal of Rhombus = 5 cm
Let the other diagonal of the given Rhombus be x cm
We know that,
Area of Rhombus = ( (1/2) x Product of Diagonals ) sq units.
20 cm2 = ( (1/2) x 5 cm x x )
x = (20×2)/5 cm
x = 8 cm
Hence, the length of the other Diagonal is 8 cm.
10.If one of the side of a Parallelogram is 6 cm and the distance of this side from the opposite side is 7 cm, the area of the Parallelogram would be ?
(a) 42 cm2
(b) 60 cm2
(c) 56 cm2
Answer
Answer: (a) 42 cm2
Explanation: Given:
Base = 6 cm
Height = 7 cm
We know that,
Area of Parallelogram = ( Base x Height ) sq units.
Area of Parallelogram = ( 6 x 7 ) cm2
Area of Parallelogram = 42 cm2
Hence, the Area of the Parallelogram is = 42 cm2
Mensuration Class 7 MCQ Questions with Answers
11.The height and base of a triangle is 11 m and 16 m respectively. Find the area of such Triangle ?
(a) 88 m2
(b) 83 m2
(c) 80 m2
Answer
Answer: (a) 88 m2
Explanation: Given:
Height = 11 m
Base = 16 m
We know that,
Area of Triangle = ( (1/2) x Base x Height ) sq unit.
Area of Triangle = ( (1/2) x 16 x 11 ) m2
Area of Triangle = 88 m2
Hence, Area of Triangle is 88 m2.
12.Each side of an Equilateral Triangle is 10√2 cm long. Its Area is ?
(a) 52 √3 cm2
(b) 54 √3 cm2
(c) 50 √3 cm2
Answer
Answer: (c) 50 √3 cm2
Explanation: Given:
Length of Each side of an Equilateral Triangle = 10√2 cm
We know that,
Area of an Equilateral Triangle = [√3×(Length of each side of an equilateral triangle)2]/(4) sq units.
= [√3×(10√2)2]/(4) cm2
= (√3×200)/(4) cm2
= 50 √3 cm2
Hence, the Area of an Equilateral Triangle is 50 √3 cm2
13.The Base and Area of a Triangle is 21 cm and 126 cm2. The Height of such Triangle would be?
(a) 16 cm
(b) 12 cm
(c) 8 cm
Answer
Answer: (b) 12 cm
Explanation: Given:
Base = 21 cm
Area = 126 cm2
Let the Height of the given Triangle be h cm
We know that,
Area of Triangle = ( (1/2) x Base x Height )
126 cm2 = ( (1/2) x 21 cm x h )
h = (126×2)/21 cm
h = 12 cm
Hence, the Height of the Triangle is 12 cm.
14.The Height and Area of a Triangle is 10 cm and 90cm2. The Base of such Triangle would be?
(a) 20 cm
(b) 16 cm
(c) 18 cm
Answer
Answer: (c) 18 cm
Explanation: Given:
Height = 10 cm
Area = 90 cm2
Let the Base of Triangle be b cm
We know that,
Area of Triangle = ( (1/2) x Base x Height )
90 cm2 = ( (1/2) x b x 10 cm )
b = (90×2)/10 cm
b = 18 cm
Hence, the Base of the Triangle would be 18 cm
15.If Base and Hypotenuse of Right Triangle is 3 cm and 5 cm, then its Area is ?
(a) 15 cm2
(b) 7.5 cm2
(c) 11.25 cm2
Answer
Answer: (b) 7.5 cm2
Explanation: Given:
Base = 3 cm
Hypotenuse = 5 cm
We know that,
Area of Right Triangle = (( 1/2) x Base x Hypotenuse ) cm2
Area of Right Triangle = ( (1/2) x 3 x 5 ) cm2
Area of Right Triangle = 7.5 cm2
Hence, Area of Right Triangle is 7.5 cm2
Mensuration Class 7 MCQ Questions with Answers
16.Find the circumference of a circle of radius 3.5 cm?
(a) 12 cm
(b) 22 cm
(c) 36 cm
(d) 40 cm
Answer
Answer: (b) 22 cm
Explanation: The radius of given circle is r = 3.5 cm
Circumference of the circle = 2πr
= ( 2 x (22/7)x 3.5 ) cm
= 22 cm
Hence, the circumference of the given circle is 22 cm
17.Find the circumference of a circle, whose diameter is 98 cm?
(a) 306 cm
(b) 308 cm
(c) 311 cm
(d) 312 cm
Answer
Answer: (b) 308 cm
Explanation: The diameter of given circle = 98 cm
Then, radius = Diameter2= 98/2cm = 49 cm
Circumference of circle = 2πr
= ( 2 x (22/7)x 49 ) cm
= 308 cm
Hence, the circumference of the given circle is 308 cm
18.Find the diameter of the circle whose circumference is 264 cm?
(a) 42 cm
(b) 82 cm
(c) 40 cm
(d) 84 cm
Answer
Answer: (d) 84 cm
Explanation: Let, the radius of the given circle be r cm
As we know that,
Circumference of the circle = 2πr cm
Given,
Circumference of a circle = 264 cm
Therefore,
2πr = 264 (from above)
r = (264)/2π
= (264×7)/(2×22)
= 42cm
Diameter of the circle = 2r
= (2 x 42)cm
= 84cm
Hence, the Diameter of the circle is 84 cm
19. Find the radius of the circle whose circumference is 616 cm?
(a) 100 cm
(b) 101 cm
(c) 96 cm
(d) 98 cm
Answer
Answer: (d) 98 cm
Explanation: Let, the radius of the given circle be r cm
As we know that,
Circumference of the circle = 2πr cm
Given,
Circumference of a circle = 616cm
2πr = 616 (from above)
r = (616)/2π
= (616×7)/(2×22)
= 98cm
Hence, the radius of the circle = 98cm
20.The diameter of a wheel of a car is 77 cm. Find the distance covered by the car during the time in which the wheel makes 1200 revolutions?
(a) 2.934 km
(b) 2.904 km
(c) 2.903 km
(d) 3.904 km
Answer
Answer: (b) 2.904 km
Explanation: Radius of the wheel = 77/2 cm = 38.5 cm
Circumference of the wheel = 2πr
= ( 2 x (22/7)x 38.5 ) cm
= 242 cm
= 2.42 m ( As we know that, 1 m = 100 cm )
Distance covered by wheel in 1 revolution = Circumference of the wheel
Distance covered by wheel in 1 revolution = 2.42 m
Distance covered by wheel in 1200 revolutions = ( 2.42 x 1200 ) m
= 2904 m
= 2.904 km ( As we know that, 1 m = 1000 km )
Hence, Distance covered by wheel in 1200 revolutions is 2.904 km
Mensuration Class 7 MCQ Questions with Answers
21.The ratio of the radii of two circles is 2 : 3. The ratio of their Circumference would be
(a) 3 : 4
(b) 2 : 3
(c) 4 : 5
Answer
Answer: (b) 2 : 3
Explanation: Let the Radii of the given Circles be 2R and 3R
and let their Circumference be C1 and C2
We know that,
Circumference of a Circle = 2πr
then,
C1 = 2πr
C1 = 2 x π x 2R
C1 = 4πR
C2 = 2πr
C2 = 2 x π x 3R
C2 = 6πR
Ratio of Circumference of Circles = C1/C2
Ratio of Circumference of Circles = 4πR/6πR
Ratio of Circumference of Circles = 2 : 3
Hence, the Ratio of their Circumferences is 2 : 3
22.If the Radius of the Circle is 28 cm, then its Area is?
(a) 2464 cm2
(b) 176 cm2
(c) 2376 cm2
Answer
Answer: (a) 2464 cm2
Explanation: Radius = 28 cm
We know that,
Area of Circle = π x (Radius)2
( Since, π = (22/7) )
Area of Circle = (22/7) x (28cm)2
Area of Circle = ( (22/7) x 28 x 28 ) cm2
Area of Circle = 2464 cm2
23.If the Diameter of the Circle is 70 cm, then its Area is?
(a) 3826 cm2
(b) 3382 cm2
(c) 3850 cm2
Answer
Answer: (c) 3850 cm2
Explanation: Given:
Diameter = 70 cm
We know that,
Radius = Diameter/2
Radius = 70/2
Radius = 35 cm
Area of Circle = π x (Radius)2
( Since, π = (22/7) )
Area of Circle = (22/7) x (35cm)2
Area of Circle = ( (22/7) x 35 x 35 ) cm2
Area of Circle = 3850 cm2
24.The ratio of the radii of two circles is 5 : 3 then, the ratio of its Area is?
(a) 25 : 9
(b) 5 : 3
(c) 30 : 6
Answer
Answer: (a) 25 : 9
Explanation: Let the Radii of the given Circles be 5r and 3r
and let their Area be A1 and A2
We know that,
Area of a Circle = π x (Radius)2
then,
A1 = π x (Radius)2
A1 = π x 5r x 5r
A1 = 25πr2
A2 = π x (Radius)2
A2 = π x 3r x 3r
A2 = 9πr2
Ratio of Area of Circles = A1/A2
= 25πr2/9πr2
= 25 : 9
Hence, the Ratio of their Circumferences is 25 : 9
25.If the Circumference of the Circle is 308 cm, then its Area is?
(a) 8186 cm
(b) 8626 cm
(c) 7546 cm
Answer
Answer: (c) 7546 cm
Explanation: Given:
Circumference of Circle = 308 cm
We know that,
Circumference of Circle = 2πr
Equating the two, we get
2πr = 308 cm
2 x (22/7) x r = 308 cm
r = (308×7)/(22×2) cm
r = 49 cm
We know that,
Area of Circle = ( π x (Radius)2) sq units
Area of Circle = (22/7) x (49)2 cm2
Area of Circle = ( (22/7) x 49 x 49 ) cm2
Area of Circle = 7546 cm2
MCQ Questions for Class 7 Maths with Answers
- Integers Class 7 MCQ Questions
- Fractions and Decimals Class 7 MCQ Questions
- Lines and Angles Class 7 MCQ Questions
- The Triangle and its Properties Class 7 MCQ Questions
- Congruence of Triangles Class 7 MCQ with Answers
- Comparing Quantities Class 7 MCQ with Answers
- Rational Numbers Class 7 MCQ Questions
- Exponents and Powers Class 7 MCQ Questions with Answers
- Unitary Method Class 7 MCQ
Frequently Asked Questions on Mensuration Class 7 MCQ Questions
1. Are these MCQ on Mensuration Class 7 are based on 2021-22 CBSE Syllabus?
Yes. There are 25 MCQ’s on this Chapter in this blog.
2. Are you giving all the chapters of Maths Class 7 MCQs with Answers which are given in CBSE syllabus for 2021-22 ?
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