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ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

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Mathematics
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Find which of the following numbers are divisible by 2:
(i) 192
(ii) 1660
(iii) 1101
(iv) 2079

[1.5] Playing with Numbers
Chapter: [1.5] Playing with Numbers
Concept: undefined >> undefined

Each side of a rhombus is 18 cm. If the distance between two parallel sides is 12 cm, find its area.

[5.1] Area of a Trapezium and a Polygon
Chapter: [5.1] Area of a Trapezium and a Polygon
Concept: undefined >> undefined

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The diagonals of a rhombus are 18 cm and 24 cm. Find:
(i) its area ;
(ii) length of its sides.
(iii) its perimeter

[5.1] Area of a Trapezium and a Polygon
Chapter: [5.1] Area of a Trapezium and a Polygon
Concept: undefined >> undefined

The perimeter of a rhombus is 40 cm. If one diagonal is 16 cm; find:

  1. It's other diagonal
  2. area
[5.1] Area of a Trapezium and a Polygon
Chapter: [5.1] Area of a Trapezium and a Polygon
Concept: undefined >> undefined

The length of the diagonals of a rhombus is in ratio 4 : 3. If its area is 384 cm2, find its side.

[5.1] Area of a Trapezium and a Polygon
Chapter: [5.1] Area of a Trapezium and a Polygon
Concept: undefined >> undefined

A thin metal iron-sheet is rhombus in shape, with each side 10 m. If one of its diagonals is 16 m, find the cost of painting both sides at the rate of ₹ 6 per m2. Also, find the distance between the opposite sides of this rhombus.

[5.1] Area of a Trapezium and a Polygon
Chapter: [5.1] Area of a Trapezium and a Polygon
Concept: undefined >> undefined

The area of a rhombus is equal to the area of a triangle. If the base ∆ is 24 cm, its corresponding altitude is 16 cm and one of the diagonals of the rhombus is 19.2 cm. Find its other diagonal.

[5.1] Area of a Trapezium and a Polygon
Chapter: [5.1] Area of a Trapezium and a Polygon
Concept: undefined >> undefined

Find the volume and the total surface area of a cuboid, whose :
length = 15 cm, breadth = 10 cm and height = 8 cm.

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

Find the volume and the total surface area of a cuboid, whose :

l = 3.5 m, b = 2.6 m and h = 90 cm

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

The volume of a cuboid is 3456 cm3. If its length = 24 cm and breadth = 18 cm ; find its height.

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

The volume of a cuboid is 7.68 m3. If its length = 3.2 m and height = 1.0 m; find its breadth.

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

The breadth and height of a rectangular solid are 1.20 m and 80 cm respectively. If the volume of the cuboid is 1.92 m3; find its length.

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

The length, breadth, and height of a cuboid are in the ratio 5 : 3: 2. If its volume is 240 cm3; find its dimensions. Also, find the total surface area of the cuboid.

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

The length, breadth, and height of a cuboid are in the ratio 6: 5 : 3. If its total surface area is 504 cm2; find its dimensions. Also, find the volume of the cuboid.

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

Find the volume and total surface area of a cube whose each edge is:
(i) 8 cm
(ii) 2 m 40 cm.

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

Find the length of each edge of a cube, if its volume is :
(i) 216 cm3
(ii) 1.728 m3

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

The total surface area of a cube is 216 cm2. Find its volume.

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

A solid cuboid of metal has dimensions 24 cm, 18 cm, and 4 cm. Find its volume.

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

A wall 9 m long, 6 m high and 20 cm thick, is to be constructed using bricks of dimensions 30 cm, 15 cm, and 10 cm. How many bricks will be required?

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined

A solid cube of edge 14 cm is melted down and recast into smaller and equal cubes each of the edge 2 cm; find the number of smaller cubes obtained.

[5.2] Surface Area, Volume and Capacity
Chapter: [5.2] Surface Area, Volume and Capacity
Concept: undefined >> undefined
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