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MATHS [2 Mark Question Answer]

Mensuration · ICSE STD 7 (ICSE - English Medium). 75 questions.

Questions · Page 2 of 2

[2 Mark Question Answer]

Question 512 Marks
The sides of a triangle are in the ratio $13: 14: 15$ and its perimeter is 84 cm . Find the area of the triangle.
Answer
$336 cm^2$
[Hint: Let the sides of triangle be $13 x, 14 x$ and $15 x$.\[\begin{array}{l}\Rightarrow 13 x+14 x+15 x=84 \Rightarrow x=2 . \text { So, sides are } 26 cm, 28 cm \text { and } 30 cm . \\\text { Area of triangle } \left.=\sqrt{42(42-26)(42-28)(42-30)} cm^2\right]\end{array}\]
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Question 522 Marks
The area of a right triangle is $240 cm^2$ and one of its legs is 16 cm long. Find the length of the other leg.
Answer
30 cm
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Question 552 Marks
The area of a rectangular park is $1560 m^2$ and its breadth is 24 m. Find the length and perimeter of the park. Also, find the cost of fencing it at ₹ 22.50 per metre.
Answer
65 m, 178 m, ₹ 4005
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Question 562 Marks
Square tiles of side 20 cm are to be laid on the floor of a room 10 m by 4.5 m. How many tiles will be needed? Find the cost of putting the tiles at ₹ 131.40 per tile.
Answer
1125, ₹ 147825
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Question 572 Marks
A rectangular garden is 175 m long and 96 m broad. Find the cost of fencing it at ₹ 17.50 per metre. Also, find the cost of ploughing it at ₹ 4.50 per square metre.
Answer
₹ 9485, ₹ 75600
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Question 582 Marks
The perimeter of a rectangular grassy plot is 189 m and its breadth is 10.5 m. Find the length and area of the plot.
Answer
$84 m, 882 m^2$
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Question 592 Marks
The perimeter of a rectangular plot of land is 240 m and its length is 63 m. Find the breadth and area of the plot.
Answer
$57 m, 3591 m^2$
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Question 602 Marks
Find the perimeter and area of a rectangle having : Length = 9.6 cm, Breadth = 1.5 cm
Answer
$22.2 cm, 14.4 cm^2$
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Question 612 Marks
Find the perimeter and area of a rectangle having : Length = 16 cm, Breadth = 12 cm
Answer
$56 cm, 192 cm^2$
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Question 622 Marks
A rectangular plot of land is 50 m long. The cost of levelling the plot at $₹ 12.50$ per $m ^2$ is ₹ 20000. Find (i) the area of the plot; (ii) the breadth of the plot; (iii) the perimeter of the plot.
Answer
(i) $1600 m^2$
(ii) 32 m
(iii) 164 m
\[\left[\text { Hint : } \text { Area }=\frac{\text { Total cost }}{\text { Cost per metre }{ }^2}\right]\]
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Question 632 Marks
It costs ₹ 5400 to fence a square field at ₹ 13.50 per metre. Find (i) the length of the side of the field (ii) the area of the field.
Answer
(i) 100 m
\[\left[\text { Hint }: \text { Perimeter }=\frac{\text { Total cost }}{\text { Cost per metre }}\right]\]
(ii) $10000 m^2$
\[\left[\text { Hint }: \text { Perimeter }=\frac{\text { Total cost }}{\text { Cost per metre }}\right]\]
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Question 642 Marks
How many revolutions would a cycle wheel of diameter 1.6 m make to cover a distance of 352 metres? (Take $\pi=\frac{22}{7}$ )
Answer
70
$\left[\right.$ Hint $:$ Number of revolutions made $\left.=\frac{352}{2 \pi r}\right]$
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Question 652 Marks
The radius of a wheel of a cycle is 70 cm and it takes 5 minutes to make 300 rotations. Find the speed of the cycle in km per hour. (Take $\pi=\frac{22}{7}$ )
Answer
15.84 km/hr
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Question 662 Marks
The diameter of a wheel of a car is 1.12 m . Find the distance covered by the car in making 500 revolutions by its wheels. (Take $\pi=\frac{22}{7}$ )
Answer
1.76 km
[Hint: Distance covered by the wheel in 1 revolution $=$ Its circumference
\[=2 \pi r=2 \times \frac{22}{7} \times 1.12=3.52 m\]
Distance covered by the wheel in 500 revolutions $=500 \times 3.52 m$ ]
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Question 672 Marks
The circumference of a circular garden is 66 m. Find its diameter. (Take $\pi=\frac{22}{7}$ )
Answer
21 m
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Question 692 Marks
A rectangular plot is 125 m long and 72 m broad. Find the cost of fencing it at ₹ 27 per metre.
Answer
10638
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Question 732 Marks
Find the perimeters of : A triangle ABC having sides of lengths, AB = 7 cm, BC = 5 cm, AC = 8.5 cm.
Answer
20.5 cm
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Question 742 Marks
The wheel of a car rotated 1000 times in travelling a distance of 1.76 km. Find the pi = radius of the wheel.(Take $\pi=\frac{22}{7}$ )
Answer
28 cm
[Hint : Circumference of the wheel $=\frac{1.76 \times 1000 \times 100}{1000} cm$ ]
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Question 752 Marks
A wire is bent in the form of a square of side 16.5 cm. It is straightened and then bent into a circle. What is the radius of the circle so formed? (Take $\pi=\frac{22}{7}$ )
Answer
10.5 cm
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[2 Mark Question Answer] - Page 2 - MATHS STD 7 Questions - Vidyadip