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>CBSE Class VIII
>Mathematics

Found 213 QuestionsSET DEFAULT

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CBSE Class VIII

Class

Class 8th

Exams

Subjects

Mathematics
English
Science

Books

NCERT Mathematics Textbook for Class 8

Chapters

Algebraic Expressions and Identities
Comparing Quantities
Cubes and Cube Roots
Data Handling
Direct and Inverse Proportions
Exponents and Powers
Factorisation
Introduction to Graphs
Linear Equations in One Variable
Mensuration
Rational Numbers
Square and Square Roots
Understanding Quadrilaterals

Topics

Addition and Subtraction of Algebraic Expressions
Area of a Polygon
Chance and Probability
Circle Graph or Pie Chart
Compound Interest
Cube Roots
Cubes
Direct Proportion
Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial)
Finding the Square of a Number
Introduction to Graphs
Inverse Proportion
Kinds of Quadrilaterals
Laws of Exponents
Multiplying a Monomial by a Monomial
Multiplying a Monomial by a Polynomial
Multiplying a Polynomial by a Polynomial
Properties of Rational Numbers
Recalling Ratios and Percentages
Reducing Equations to Simpler Form
Solving Equations having the Variable on both Sides
Some Applications
Some More Interesting Patterns
Some Special Parallelograms
Square Roots
Square Roots of Decimals
Sum of the Measures of the Exterior Angles of a Polygon
Surface Area of Cube, Cuboid and Cylinder
Tax
Understanding Quadrilaterals
Use of Exponents to Express Small Numbers in Standard Form
Volume and Capacity
What is Factorisation?

List of top Mathematics Questions asked in CBSE Class VIII

Subtract 4p²q – 3pq + 5pq² – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq² + 5p²q

CBSE Class VIII
Mathematics
Addition and Subtraction of Algebraic Expressions

Add the following. l² + m², m² + n², n² + l², 2lm + 2mn + 2nl

CBSE Class VIII
Mathematics
Addition and Subtraction of Algebraic Expressions

Complete the following table of products:

First monomial → Second monomial ↓	2x	–5y	3x²	– 4xy	7x² y	–9x² y²
2x	4x²	. . .	. . .	. . .	. . .	. . .
–5y	. . .	. . .	-15x²y	. . .	. . .	. . .
3x²	. . .	. . .	. . .	. . .	. . .	. . .
– 4xy	. . .	. . .	. . .	. . .	. . .	. . .
7x² y	. . .	. . .	. . .	. . .	. . .	. . .
–9x² y²	. . .	. . .	. . .	. . .	. . .	. . .

CBSE Class VIII
Mathematics
Multiplying a Monomial by a Monomial

Subtract 3xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz

CBSE Class VIII
Mathematics
Addition and Subtraction of Algebraic Expressions

Explain how a square is.

a quadrilateral
a parallelogram
a rhombus
a rectangle

CBSE Class VIII
Mathematics
Some Special Parallelograms

Solve the linear equation: \(\frac{3t-2}{4}-\frac{2t+3}{3}=\frac{2}{3}-t\)

CBSE Class VIII
Mathematics
Reducing Equations to Simpler Form

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time -
(i) the length of the shadow cast by another pole 10 m 50 cm high
(ii) the height of a pole which casts a shadow 5 m long.

CBSE Class VIII
Mathematics
Direct Proportion

Simplify.
(i) (x²– 5) (x + 5) + 25
(ii) (a²+ 5) (b³+ 3) + 5
(iii) (t + s²)(t² – s)
(iv) (a + b) (c – d) + (a – b) (c + d) + 2 (ac + bd)
(v) (x + y) (2x + y) + (x + 2y) (x – y)
(vi) (x + y) (x²– xy + y²)
(vii) (1.5x – 4y) (1.5x + 4y + 3) – 4.5x + 12y
(viii) (a + b + c) (a + b – c)

CBSE Class VIII
Mathematics
Multiplying a Polynomial by a Polynomial

Factorise the following expressions

\(7x - 42\)
\(6p - 12q\)
\(7a ^2 + 14a\)
\(-16z + 20z ^3\)
\(20l^ 2m + 30\, alm\)
\(5x^ 2 y - 15xy^2\)
\(10a^ 2 - 15b^ 2 + 20c^ 2 \)
\(-4a^ 2 + 4ab - 4 ca\)
\(x ^2 yz + xy^2 z + xyz^2\)
\(ax^2 y + bxy^2 + cxyz\)

CBSE Class VIII
Mathematics
What is Factorisation?

Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3

CBSE Class VIII
Mathematics
Addition and Subtraction of Algebraic Expressions

Find \(x\) in the following figures.

Polygon a

Polygon b

CBSE Class VIII
Mathematics
Sum of the Measures of the Exterior Angles of a Polygon

Carry out the multiplication of the expressions in each of the following pairs.
(i) 4p, q + r
(ii) ab, a – b
(iii) a + b, 7a²b²
(iv) a²– 9, 4a
(v) pq + qr + rp, 0

CBSE Class VIII
Mathematics
Multiplying a Polynomial by a Polynomial

\(x^ 2 + xy + 8x + 8y\)
\(15xy - 6x + 5y - 2 \)
\(ax + bx - ay - by\)
\(15pq + 15 + 9q + 25p\)
\(z - 7 + 7xy - xyz\)

CBSE Class VIII
Mathematics
What is Factorisation?

Add the following. a – b + ab, b – c + bc, c – a + ac.

CBSE Class VIII
Mathematics
Addition and Subtraction of Algebraic Expressions

Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube:

81
128
135
192
704

CBSE Class VIII
Mathematics
Cubes

Express the following numbers in standard form.
(i) 0.0000000000085
(ii) 0.00000000000942
(iii) 6020000000000000
(iv) 0.00000000837
(v) 31860000000

CBSE Class VIII
Mathematics
Use of Exponents to Express Small Numbers in Standard Form

Consider the following parallelograms. Find the values of the unknowns \(x, y, z\).

parallelograms

CBSE Class VIII
Mathematics
Kinds of Quadrilaterals

For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.

252
2925
396
2645
2800
1620

CBSE Class VIII
Mathematics
Square Roots

Add the following.2p²q² – 3pq + 4, 5 + 7pq – 3p²q.

CBSE Class VIII
Mathematics
Addition and Subtraction of Algebraic Expressions

\(4p^ 2 - 9q ^2\)
\(63a^ 2 - 112b ^2\)
\(49x^ 2 - 36\)
\(16x^ 5 - 144x^ 3\)
\((l + m)^ 2 - (l - m) ^2\)
\(9x^ 2 y^ 2 - 16 \)
\((x^ 2 - 2xy + y^ 2 ) - z^ 2\)
\(25a ^2 - 4b^ 2 + 28bc - 49c ^2\)

CBSE Class VIII
Mathematics
What is Factorisation?

Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.

CBSE Class VIII
Mathematics
Kinds of Quadrilaterals

The following numbers are obviously not perfect squares. Give reason.

1057
23453
7928
222222
64000
89722
222000
505050

CBSE Class VIII
Mathematics
Some More Interesting Patterns

Explain how this figure is a trapezium. Which of its two sides are parallel?

figure KLMN

CBSE Class VIII
Mathematics
Kinds of Quadrilaterals

Solve and check result: \(x = \frac{4}{5}(x+10)\)

CBSE Class VIII
Mathematics
Solving Equations having the Variable on both Sides

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

CBSE Class VIII
Mathematics
Kinds of Quadrilaterals

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