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Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

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Mathematics
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Divide:

(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c

[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.

[9] Mensuration
Chapter: [9] Mensuration
Concept: undefined >> undefined

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Divide:

\[\frac{1}{4} x^2 - \frac{1}{2}x - 12 by \frac{1}{2}x - 4\]
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.

[9] Mensuration
Chapter: [9] Mensuration
Concept: undefined >> undefined

Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.

[9] Mensuration
Chapter: [9] Mensuration
Concept: undefined >> undefined

Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.

[9] Mensuration
Chapter: [9] Mensuration
Concept: undefined >> undefined

Three cubes whose edges measure 3 cm, 4 cm, and 5 cm respectively are melted to form a new cube. Find the surface area of the new cube formed.

[9] Mensuration
Chapter: [9] Mensuration
Concept: undefined >> undefined

A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.

[9] Mensuration
Chapter: [9] Mensuration
Concept: undefined >> undefined

Find the cost of sinking a tubewell 280 m deep, having diameter 3 m at the rate of Rs 3.60 per cubic metre. Find also the cost of cementing its inner curved surface at Rs 2.50 per square metre.

[9] Mensuration
Chapter: [9] Mensuration
Concept: undefined >> undefined

Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.

[9] Mensuration
Chapter: [9] Mensuration
Concept: undefined >> undefined
Find the volume of each rectangular box with given length, breadth, and height.
  Length breadth height
(i) 2ax 3by 5cz
(ii) m2n n2p p2m
(iii) 2q 4q2 8q3
[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined
Find the square root of 1296.
[5] Squares and Square Roots
Chapter: [5] Squares and Square Roots
Concept: undefined >> undefined

Find the greatest 4-digit number which is a perfect square.

[5] Squares and Square Roots
Chapter: [5] Squares and Square Roots
Concept: undefined >> undefined
Check the divisibility of 21436587 by 9.
[16] Playing with Numbers
Chapter: [16] Playing with Numbers
Concept: undefined >> undefined

Check the divisibility of 152875 by 9.

[16] Playing with Numbers
Chapter: [16] Playing with Numbers
Concept: undefined >> undefined
If the three-digit number 24x is divisible by 9, what is the value of x?
[16] Playing with Numbers
Chapter: [16] Playing with Numbers
Concept: undefined >> undefined
A sum of ₹ 10,000 is borrowed at a rate of interest 15% per annum for 2 years. Find the simple interest on this sum and the amount to be paid at the end of 2 years.
[7] Comparing Quantities
Chapter: [7] Comparing Quantities
Concept: undefined >> undefined

Divide 24(x2yz + xy2z + xyz2) by 8xyz using both the methods.

[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined
Write the additive inverse of the following:  `21/112`.
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined
Verify that – (-x) is the same as x for `"x" = 13/17`.
[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined
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