CBSE Class 7 Maths – MCQ and Online Tests – Unit 11 – Perimeter and Area
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CBSE Class 7 Maths – MCQ and Online Tests – Unit 11 – Perimeter and Area
Question 1.
The area of a square plot is 1600 m2. The side of the plot is
(a) 40 m
(b) 80 m
(c) 120 m
(d) 160 m
Answer
Answer: (a) 40 m
Hint:
Side = \(\sqrt{1600}\) = 40 m
Question 2.
The area of a square is 121 m2. Its side is
(a) 11 m
(b) 21 m
(c) 31 m
(d) 41 m
Answer
Answer: (a) 11 m
Hint:
Side = \(\sqrt{121}\) = 11 m
Question 3.
Area of a rectangle of length l and breadth b is
(a) l Ũ b
(b) l + b
(c) 2 Ũ (l + b)
(d) 6 Ũ (l + b)
Answer
Answer: (a) l Ũ b
Hint:
Formula
Question 4.
Area of a parallelogram =
(?) base Ũ height
(b) \(\frac { 1 }{ 2 } \) Ũ base Ũ height
(c) \(\frac { 1 }{ 3 } \) Ũ base Ũ height
(d) \(\frac { 1 }{ 4 } \) Ũ base Ũ height
Answer
Answer: (?) base Ũ height
Hint:
Formula
Question 5.
Area of a triangle =
(?) base Ũ height
(b) \(\frac { 1 }{ 2 } \) Ũ base Ũ height
(c) \(\frac { 1 }{ 3 } \) Ũ base Ũ height
(d) \(\frac { 1 }{ 4 } \) Ũ base Ũ height
Answer
Answer: (b) \(\frac { 1 }{ 2 } \) Ũ base Ũ height
Hint:
Formula
Question 6.
The circumference of a circle of radius r is
(a) pr
(b) 2pr
(c) pr2
(d) \(\frac { 1 }{ 4 } \) pr2
Answer
Answer: (b) 2pr
Hint:
Formula
Question 7.
The circumference of a circle of diameter d is
(a) pd
(b) 2pd
(c) \(\frac { 1 }{ 2 } \) pd
(d) pd2
Answer
Answer: (a) pd
Hint:
Formula
Question 8.
If r and d are the radius and diameter of a circle respectively, then
(a) d = 2 r
(b) d = r
(C) d = \(\frac { 1 }{ 2 } \) r
(d) d = r2
Answer
Answer: (a) d = 2 r
Hint:
Formula
Question 9.
The area of a circle of radius r is
(a) pr2
(b) 2pr2
(c) 2pr
(d) 4pr2
Answer
Answer: (a) pr2
Hint:
Formula
Question 10.
The area of a circle of diameter d is
(a) pd2
(b) 2pd2
(c) \(\frac { 1 }{ 4 } \) pd2
(d) 2pd
Answer
Answer: (c) \(\frac { 1 }{ 4 } \) pd2
Hint:
Formula
Question 11.
1 cm2 =
(a) 10 mm2
(b) 100 mm2
(c) 1000 mm2
(d) 10000 mm2
Answer
Answer: (b) 100 mm2
Hint:
Formula
Question 12.
Perimeter of a square =
(a) side Ũ side
(b) 3 Ũ side
(c) 4 Ũ side
(d) 2 Ũ side
Answer
Answer: (c) 4 Ũ side
Hint:
Formula
Question 13.
Perimeter of a rectangle of length Z and breadth 6 is
(a) l + b
(b) 2 Ũ (l + b)
(c) 3 Ũ (l + b)
(d) l Ũ b
Answer
Answer: (b) 2 Ũ (l + b)
Hint:
Formula
Question 14.
Area of a square =
(a) side Ũ side
(b) 2 Ũ side
(c) 3 Ũ side
(d) 4 Ũ side
Answer
Answer: (a) side Ũ side
Hint:
Formula
Question 15.
1 are =
(a) 10 m2
(b) 100 m2
(c) 1000 m2
(d) 10000 m2
Answer
Answer: (b) 100 m2
Hint:
Formula
Question 16.
The area of a square is 625 m2. Find its side
(a) 25 m
(b) 50 m
(c) 125 m
(d) 5 m
Answer
Answer: (a) 25 m
Hint:
Side = \(\sqrt{625}\) = 25 m
Question 17.
The area of a rectangular field is 250 m2. If the breadth of the field is 10 m, find its length.
(a) 25 m
(b) 50 m
(c) 100 m
(d) 125 m
Answer
Answer: (a) 25 m
Hint:
Length = \(\frac{250}{10}\) = 25 m
Question 18.
The perimeter of a rectangle is 30 m. Its length is 10 m. Its breadth is
(a) 5 m
(b) 10 m
(c) 15 m
(d) 3 m
Answer
Answer: (a) 5 m
Hint:
30 = 2 (Length + Breadth)
? 30 = 2 (10 + Breadth)
? Breadth = 5 m
Question 19.
If the area of a parallelogram is 16 cm2 and base is 8 cm, find the height.
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm
Answer
Answer: (b) 2 cm
Hint:
Height = \(\frac{16}{8}\) = 2 cm
Question 20.
The area of a parallelogram is 20 cm2 and height is 2 cm. Find the corresponding base.
(a) 3 cm
(b) 4 cm
(c) 5 cm
(d) 2.4 cm
Answer
Answer: (d) 2.4 cm
Hint:
Base = \(\frac{20}{2}\) = 10 cm
Question 21.
The perimeter of a square is 48 cm. Its area is
(a) 144 cm2
(b) 12 cm2
(c) 48 cm2
(d) 100 cm2
Answer
Answer: (a) 144 cm2
Hint:
Side = \(\frac{48}{4}\) = 12 cm
? Area = 12 Ũ 12 = 144 cm2
Question 22.
The area of a rectangular room is 150 m2. If its breadth is 10 m, then find its length.
(a) 15 m
(b) 25 m
(c) 50 m
(d) 55 m
Answer
Answer: (a) 15 m
Hint:
Length = \(\frac{150}{10}\) = 15 m
Question 23.
A rectangular wire of length 40 cm and breadth 20 cm is bent in the shape of a square. The side of the square is
(a) 10 cm
(b) 20 cm
(c) 30 cm
(d) 40 cm
Answer
Answer: (c) 30 cm
Hint:
Side of square = \(\frac{2(40+20)}{4}\) = 30 cm
Question 24.
The area of a parallelogram of base 5 cm and height 3.2 cm is
(a) 8 cm2
(b) 12 cm2
(c) 16 cm2
(d) 20 cm2
Answer
Answer: (c) 16 cm2
Hint:
Area = 5 Ũ 3.2 = 16 cm2
Question 25.
The diameter of a circle is 14 cm. Find its circumference
(a) 44 cm
(b) 22 cm
(c) 11 cm
(d) 55 cm
Answer
Answer: (a) 44 cm
Hint:
Circumference = \(\frac{22}{7}\) Ũ 14 = 44 cm
Question 26.
The radius of a circle is 7 cm. Find its area
(a) 154 cm2
(b) 77 cm2
(c) 11 cm2
(d) 22 cm2
Answer
Answer: (a) 154 cm2
Hint:
Area = \(\frac{22}{7}\) Ũ 7 Ũ 7 = 154 cm2
Question 27.
Find the area of the following ; parallelogram:
(a) 12 cm2
(b) 6 cm2
(c) 24 cm2
(d) 8 cm2
Answer
Answer: (a) 12 cm2
Hint:
Area = 6 Ũ 2 = 12 cm2
Question 28.
Find the area of the following parallelogram:
(a) 6 cm2
(b) 12 cm2
(c) 16 cm2
(d) 9 cm2
Answer
Answer: (b) 12 cm2
Hint:
Area = 4 Ũ 3 = 12 cm2
Question 29.
The area of the parallelogram ABCD in which AB = 6.2 cm and the perpendicular from C on AB is 5 cm is
(a) 30 cm2
(b) 29 cm2
(c) 28 cm2
(d) 31 cm2
Answer
Answer: (d) 31 cm2
Hint:
Area = 6.2 Ũ 5 = 31 cm2
Question 30.
One of the sides and the corresponding height of a parallelogram are 3 cm and 1 cm respectively. The area of the parallelogram is
(a) 1 cm2
(b) 3 cm2
(c) 6cm2
(d) 12 cm2
Answer
Answer: (b) 3 cm2
Hint:
Area = 3 Ũ 1 = 3 cm2
Question 31.
The diameter of a circle is 7 cm. Find its area
(a) 154 cm2
(b) 38.5 cm2
(c) 22 cm2
(d) 11 cm2
Answer
Answer: (b) 38.5 cm2
Hint:
Area = \(\frac{22}{7}\) Ũ \(\frac{7}{2}\) Ũ \(\frac{7}{2}\) = 38.5 cm2
Question 32.
The perimeter of the following figure is
(a) 27 cm
(b) 28 cm
(c) 36 cm
(d) 40 cm
Answer
Answer: (c) 36 cm
Hint:
Perimeter = 2 Ũ 7 + \(\frac{22}{7}\) Ũ 7
= 14 + 22 = 36 cm.
Question 33.
Find AD in the following figure :
(a) 3 cm
(b) 4 cm
(c) 5 cm
(d) 2.4 cm
Answer
Answer: (d) 2.4 cm
Hint:
Area of ? ABC = \(\frac{3Ũ4}{2}\)
= \(\frac{5ŨAD}{2}\) ? AD = 2.4
Question 34.
Find the area of ? ABC :
(a) 1 cm2
(b) 2 cm2
(c) 4 cm2
(d) \(\frac { 1 }{ 2 } \) cm2
Answer
Answer: (d) \(\frac { 1 }{ 2 } \) cm2
Hint:
Area = \(\frac{1Ũ1}{2}\) = \(\frac{1}{2}\) cm2
Question 35.
Find the area of ? ABC
(a) 3 cm2
(b) 4 cm2
(c) 6 cm2
(d) 12 cm2
Answer
Answer: (c) 6 cm2
Hint:
Area = \(\frac{4Ũ3}{2}\) = 6 cm2
Question 36.
Find the area of ? ABC
(a) 1 cm2
(b) 2 cm2
(c) 3 cm2
(d) 4 cm2
Answer
Answer: (c) 3 cm2
Hint:
Area = \(\frac{3Ũ2}{2}\) = 3 cm2
Question 37.
Which of the following is not the value of p ?
(a) \(\frac { 22 }{ 7 } \)
(b) \(\frac { 7 }{ 22 } \)
(c) \(\frac { 355 }{ 113 } \)
(d) 3.14
Answer
Answer: (b) \(\frac { 7 }{ 22 } \)
Question 38.
The radius of a circle is 7 cm. Its circumference is
(a) 22 cm
(b) 44 cm
(c) 11 cm
(d) 66cm
Answer
Answer: (b) 44 cm
Hint:
Circumference = 2 Ũ \(\frac{22}{7}\) Ũ 7 = 44 cm
Question 39.
1 m2 =
(a) 10 cm2
(b) 100 cm2
(c) 1000 cm2
(d) 10000 cm2
Answer
Answer: (d) 10000 cm2
Hint:
Formula
Question 40.
1 hectare =
(a) 10 m2
(b) 100 m2
(c) 1000 m2
(d) 10000 m2
Answer
Answer: (d) 10000 m2
Hint:
Formula
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