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ICSE ICSE Class 7 - CISCE Question Bank Solutions

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If the area of a rhombus is 112 cm2 and one of its diagonals is 14 cm, find its other diagonal.

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One side of a parallelogram is 18 cm and its area is 153 cm2. Find the distance of the given side from its opposite side.

[4.07] Mensuration
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The adjacent sides of a parallelogram are 15 cm and 10 cm. If the distance between the longer sides is 6 cm, find the distance between the shorter sides.

[4.07] Mensuration
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The area of a rhombus is 84 cm2 and its perimeter is 56 cm. Find its height.

[4.07] Mensuration
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Find the area of a triangle whose base is 30 cm and the height is 18 cm.

[4.07] Mensuration
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Find the height of a triangle whose base is 18 cm and the area is 270 cm2.

[4.07] Mensuration
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The area of a right-angled triangle is 160 cm2. If its one leg is 16 cm long, find the length of the other leg.

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Find the area of a right-angled triangle whose hypotenuse is 13 cm long and one of its legs is 12 cm long.

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Find the area of an equilateral triangle whose each side is 16 cm. (Take `sqrt3`= 1.73)

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The sides of a triangle are 21 cm, 17 cm, and 10 cm. Find its area.

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Find the area of an isosceles triangle whose base is 16 cm and the length of each of the equal sides is 10 cm.

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Find the base of a triangle whose area is 360 cm2 and height is 24 cm.

[4.07] Mensuration
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The legs of a right-angled triangle are in the ratio 4 : 3 and its area is 4056 cm2. Find the length of its legs.

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The area of an equilateral triangle is (`64xxsqrt3`) cm2. Find the length of each side of the triangle.

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The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is 168 cm. Find the area of the triangle.

[4.07] Mensuration
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The diameter of a circle is 20 cm. Taking π = 3.14, find the circumference and its area.

[4.07] Mensuration
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The ratio between the radius of two circles is 5 : 7. Find the ratio between their:
(i) circumference
(ii) areas

[4.07] Mensuration
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The ratio between the areas of two circles is 16 : 9. Find the ratio between their :
(i) radius
(ii) diameters
(iii) circumference

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The diameter of every wheel of a car is 63 cm. How much distance will the car move during the 2000 revolutions of its wheel.

[4.07] Mensuration
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The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel one kilometer?

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