Download CBSE Class 8th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 8th Standard CBSE Mathematics

Questions:

Multiple Choice Question

100 x 1 = 100

The base area of a right circular cylinder is 16\(\pi\) . Its height is 5 cm. Its curved surface area is

(a)

40\(\pi\)cm²

(b)

30\(\pi\)cm²

(c)

20\(\pi\)cm²

(d)

10\(\pi\)cm²

A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 em and height is 8 em. The volume of water is

(a)

18\(\pi\)cm³

(b)

36\(\pi\)cm³

(c)

9\(\pi\)cm³

(d)

36cm³

The floor of a room is a square of side 6 m. Its height is 4 m. The volume of the room is

(a)

140 m³

(b)

142 m³

(c)

144 m³

(d)

145 m³

The number of digits in the square root of 100 is

(a)

(b)

(c)

(d)

The smallest number by which 125 should be divided so as to get a perfect square is

(a)

(b)

(c)

(d)

125

The smallest number by which 28 should be multiplied so as to get a perfect square is

(a)

(b)

(c)

(d)

The area of the trapezium is

(a)

6 cm²

(b)

4 cm²

(c)

3 cm²

(d)

9 cm²

What could be the possible one's digit of the square root of 361?

(a)

(b)

3, 4

(c)

6, 7

(d)

7, 8.

Read the graph and answer the related question:

Find the rise in the number of labourers from 2001 to 2004.

(a)

200

(b)

300

(c)

400

(d)

500

10.

The area of a circle of radius r is

(a)

\(\frac { 1 }{ 2 } \)\(\pi\)r²

(b)

r²

(c)

\(\pi\)r²

(d)

\(\frac { 1 }{ 4 } \)\(\pi\)r²

11.

The constant of variation, if x ∝ y, from the following table is

x	6	12	15	21
y	2	4	5	7

(a)

(b)

(c)

(d)

12.

0.000003 is equal to

(a)

3 x 10^-6

(b)

3 x 10⁶

(c)

3 x 10⁵

(d)

3 x 10^-5

13.

Observe the bar graph and answer the related question:

What is the sum of the expenditures (in thousands of rupees) on travelling allowance and rent?

(a)

100

(b)

200

(c)

300

(d)

400

14.

Observe the bar graph and answer the related question:

On which head, is the expenditure maximum?

(a)

Travelling allowance

(b)

Rent

(c)

Appliances

(d)

Salary of employees

15.

A labourer is paid Rs.400 for 2 days work. If he works for 5 days, how much will he get?

(a)

Rs.1000

(b)

Rs.800

(c)

Rs.750

(d)

Rs.900

16.

a² - b² is equal to

(a)

2ab

(b)

-2ab

(c)

(a + b) (a - b)

(d)

17.

The volume of a cuboid of dimensions a, b, c is

(a)

abc

(b)

a²b²c²

(c)

a³b³c³

(d)

none of these

18.

The area of a rectangle with length 2l²m and breadth 3lm² is

(a)

6l³m³

(b)

l³m³

(c)

2l³m³

(d)

4l³m³.

19.

149600000000 is equal to

(a)

1.496x10¹¹

(b)

1.496x10¹⁰

(c)

1.496x10¹²

(d)

1.496x10⁸

20.

The factorisation of x² + x + xy + y + zx + z is

(a)

(x + y + z)(x + 1)

(b)

(x + y + z )(x + y)

(c)

(x + y + z)(y + z)

(d)

(x + y + z)(z + x).

21.

The factorisation of a (x +y + z) + b(x +y + z) + c(x + y + z) is

(a)

(a + b + c)(x + y + z)

(b)

(ab + be + ca)(x + y + z)

(c)

(xy + yz + zx)(a + b + c)

(d)

none of these.

22.

The factorisation of 6x + 12y is

(a)

6(x + 2y)

(b)

3(x + 4y)

(c)

2(3x + 12y)

(d)

none of these.

23.

The factorisation of 6x - 42 is

(a)

6(x - 7)

(b)

3(x - 7)

(c)

2(x - 7)

(d)

6(x + 7).

24.

The common factor of 36p²q³x⁴, 48pq³x² and 54p³q³x4 is

(a)

6pq³x²

(b)

36pq³x²

(c)

54pq³x²

(d)

48pq³x²

25.

The common factor of 72x³y⁴z⁴, 120z²d⁴x⁴ and 96y³z⁴d⁴ is

(a)

96z³

(b)

120z³

(c)

72z³

(d)

24z²

26.

The coefficient in the term - 20 is

(a)

-1

(b)

-2

(c)

-10

(d)

-20

27.

The coefficient in the term - 5x is

(a)

(b)

-5

(c)

(d)

28.

How many terms are there In the expression 4a - 7ab + 3b + 12?

(a)

(b)

(c)

(d)

29.

Which of the following is a trinomial?

(a)

-7z

(b)

z² - 4y²

(c)

x²y- xy² + y²

(d)

12a - 9ab + 5b - 3.

30.

The expression x + y + z is in

(a)

one variable

(b)

no variable

(c)

three variables

(d)

two variables

31.

If x = 2, y = -1, then the value of x² + 4xy + 4y² is

(a)

(b)

(c)

-1

(d)

32.

If x² - x - 42 = (x + k)(x + 6), then k =

(a)

(b)

-6

(c)

(d)

-7

33.

The multiplicative inverse of a^m is

(a)

(b)

(c)

a^m

(d)

a^-m

34.

2 x 2 x 2 x 2 x 2 is equal to

(a)

2⁴

(b)

2³

(c)

2²

(d)

2⁵

35.

a^m x b^m is equal to

(a)

(ab)^m

(b)

(ab)^-m

(c)

a^mb

(d)

ab^m

36.

The simple interest of Rs. 500 at the rate I of 5% is Rs.100. This interest is of the time.

(a)

1 year

(b)

4 years

(c)

10 years

(d)

20 years

37.

The factorisation of 3x² + 10x + 8 is

(a)

(3x + 4)(x + 2)

(b)

(3x - 4)(x - 2)

(c)

(3x + 4)(x - 2)

(d)

(3x - 4)(x + 2)

38.

Sapna purchased a cycle for Rs. 1000 and sold it for Rs. 1200. Find her gain%.

(a)

20%

(b)

10%

(c)

40%

(d)

12%

39.

One angle of a parallelogram is a right angle. The name of the quadrilateral is

(a)

square

(b)

rectangle

(c)

rhombus

(d)

kite

40.

In a regular polygon of n sides, the measure of each internal angle is

(a)

\({360^\circ\over n }\)

(b)

\(({2n-4\over n})90^\circ\)

(c)

n 90°

(d)

2n right angles

41.

How many sides does a regular polygon have if the measure of an exterior angle is 24°?

(a)

(b)

(c)

(d)

42.

The fraction \(\frac { 2 }{ 5 } \) converted to percentage is

(a)

20%

(b)

30%

(c)

40%

(d)

50%

43.

The root of the equation 3x =\(\frac{20}{7}\) -x is

(a)

\(\frac{7}{5}\)

(b)

\(\frac{5}{7}\)

(c)

-\(\frac{7}{5}\)

(d)

-\(\frac{5}{7}\)

44.

The ratio of 10 m to 1 km is

(a)

1:10

(b)

10:1

(c)

1:100

(d)

100:1

45.

The root of the equation \(\frac{y}{3}\)-7=11 is

(a)

(b)

-54

(c)

(d)

-18

46.

\(\frac{1}{2}\) is

(a)

a natural number

(b)

a whole number

(c)

an integer

(d)

a rational number.

47.

Which of the following statements is true?

(a)

Natural numbers are commutative for division

(b)

Whole numbers are not commutative for division

(c)

Integers are commutative for division

(d)

Rational numbers are commutative for division.

48.

Which of the following statements is false?

(a)

Natural numbers are closed under subtraction

(b)

Whole numbers are not closed under subtraction

(c)

Integers are closed under subtraction

(d)

Rational numbers are closed under subtraction.

49.

Study the following frequency distribution table and answer the question given below:

Daily wages (in Rs)	Number of workers
290-325	5
325-360	2
360-395	4
395-430	6
430-465	7
465-500	5

The total number of workers is

(a)

(b)

(c)

(d)

50.

The root of the equation 2y = 5(3 + y) is

(a)

(b)

\(\frac{1}{5}\)

(c)

-5

(d)

-\(\frac{1}{5}\)

51.

The value of x in -\(\frac{2}{3}\)=2x is

(a)

\(\frac{1}{3}\)

(b)

-\(\frac{1}{3}\)

(c)

(d)

-3

52.

Observe the following bar graph carefully and answer the following question.

Of which subject are there the maximum books?

(a)

Hindi

(b)

English

(c)

Maths

(d)

Science

53.

The root of the equation z \(\div\) 4 = - 8 is

(a)

(b)

-32

(c)

(d)

54.

Observe the following bar graph carefully and answer the following question:

On which item has the minimum expenditure been done?

(a)

Servant's salary

(b)

Food

(c)

Rent

(d)

Conveyance

55.

The number of zeroes at the end of the cube root of the cube number 1000 is

(a)

(b)

(c)

(d)

56.

The number of zeroes at the end of the cube of the number 20 is

(a)

(b)

(c)

(d)

57.

The degree of the equation
X²- 2x + 1 = x2 - 3 is

(a)

(b)

(c)

(d)

58.

Of the following, the linear equation in one variable x, is

(a)

\(\frac{4}{x}=\frac{x}{4}\)

(b)

\(\frac{1}{x}+\frac{1}{x-1}\)=1

(c)

\(\frac{x}{2}=\frac{x}{3}=\frac{1}{4}\)

(d)

X² + 2x + 3 = 0.

59.

The one's digit of the cube of the number 325 is

(a)

(b)

(c)

(d)

60.

The one's digit of the cube of the number 111 is

(a)

(b)

(c)

(d)

61.

The ratio of girls to boys in a class is 2:3. The actual strength of the class is:

(a)

(b)

(c)

(d)

62.

In a class, the number of boys is more than the number of girls by 12% of the total strength of the class. The ratio of girls to boys is:

(a)

11:14

(b)

11:8

(c)

14:11

(d)

8:11

63.

If x and y vary inversely. Then using the following table?

x	5
y	30

The value of x for y = 10 is

(a)

(b)

(c)

(d)

64.

The equation 2x - 1 = 5 is identical to:

(a)

3x - 1 = 5

(b)

4x - 2 = 10

(c)

x = 2

(d)

4x + 2 = 10

65.

If 7x + 15 = 50, then which of the following is the root of the equation?

(a)

-5

(b)

\({65\over 7}\)

(c)

(d)

\({1\over 5}\)

66.

What is the product of (x + a) and (x + b)?

(a)

x² + (a - b) x + ab

(b)

x² + (a+b) x + ab

(c)

x² + (a + b) x - ab

(d)

x² + (a + b) x + ab

67.

Diagonals of which of the following quadrilaterals do not bisect it into two congruent triangles?

(a)

rhombus

(b)

trapezium

(c)

square

(d)

rectangle.

68.

Which of the following is true for the adjacent cangles of a parallelogram?

(a)

they are equal to each other

(b)

they are complementary angles

(c)

they are supplementary angles

(d)

none of these.

69.

Which of the following is a Pythagorean triplet?

(a)

n, (n² - 1) and (n² + 1)

(b)

(n - 1), (n² - 1) and (n² + 1)

(c)

(n + 1), (n² - 1) and (n² + 1)

(d)

2n, (n² - 1) and (n² + 1)

70.

Which of the following is a perfect cube?

(a)

10,000

(b)

243

(c)

343

(d)

270000

71.

The volume of a cubical box is 64 cm³. Which of the following is the side of the box?

(a)

2 cm

(b)

4 cm

(c)

6 cm

(d)

8 cm

72.

If the digit in ones place of a number is 3, then the ending of its cube will be:

(a)

(b)

(c)

(d)

73.

The point (0, 4) lies on which of the following:

(a)

x-axis

(b)

y-axis

(c)

origin

(d)

none of these.

74.

The point (-5, 6) is nearer to:

(a)

x-axis

(b)

y-axis

(c)

origin

(d)

none of these.

75.

Surface area of four walls of a room whose length, breadth and height are respectively the

(a)

2 [Ih + bh + hi]

(b)

2 [Ib + hl]

(c)

2 [Ib + bh]

(d)

2 [bh + hl]

76.

If the dimensions of a room are 2 m, 3 m and 4 m then which of the following is the number of cubes of size \(\frac{1}{2}m\times\frac{1}{3}m\times\frac{1}{4}m\) which can he placed in the room?

(a)

960

(b)

672

(c)

676

(d)

576

77.

Which of the following is equal to kilolitre?

(a)

1000 millilitres

(b)

100 dm³

(c)

1 dm³

(d)

1000 dm³

78.

If the edge of a cube is 1 cm then which of the following is its total surface area?

(a)

1 cm²

(b)

4 cm²

(c)

6 cm²

(d)

none of these

79.

If the edge of a cube is 1cm then which of the following is its volume?

(a)

6 m³

(b)

3 m³

(c)

1 m³

(d)

none of these

80.

Which of the following is the other name of a cube?

(a)

a tetrahedron

(b)

a regular hexahedron

(c)

a square antiprism

(d)

a cuboctanedron

81.

Which of the following is the base of a tetrahedron?

(a)

a square

(b)

a rectangle

(c)

a circle

(d)

a triangle

82.

Which of the following is the product of \(\frac { 7 }{ 8 } \) and \(\frac { -2 }{ 21 } ?\)

(a)

\(\frac { -1 }{ 12 } \)

(b)

\(\frac { 1 }{ 12 } \)

(c)

\(\frac { -16 }{ 63 } \)

(d)

\(\frac { -147 }{ 16 } \)

83.

Which of the following is the reciprocal of p?

(a)

-p

(b)

(c)

\(\frac { 1 }{ p } \)

(d)

\(\frac { -1 }{ p } \)

84.

Which of the following is the sum of all the interior angles of a ploynomial of sides 'n'?

(a)

(n + 2) \(\times\) 180°

(b)

(n + 2) \(\times\)x 90°

(c)

(n - 2) \(\times\) 190°

(d)

(n - 2)\(\times\) 180°

85.

Which one of the following is a Pythagorian triplet?

(a)

(n²-1), 2n and (n₂+ 1)

(b)

(n + 1)(n²-1) and (n²+ 1)

(c)

n, (n²-1) and (n²+ 1)

(d)

(n - 1), (n²- 1) and (n² + 1)

86.

The exterior angle of a regular polygon is one fifth of its interior angle. Which one of the followings is the number of sides of the polygon?

(a)

(b)

(c)

(d)

87.

Coefficient of y in the term \(\frac { -y }{ 3 } \) is

(a)

-1

(b)

-3

(c)

\(-\frac { 1 }{ 3 } \)

(d)

\(\frac { 1 }{ 3 } \)

88.

The smallest number by which 841 be multiplied so that the product becomes a perfect cube is

(a)

(b)

(c)

(d)

89.

The cube of 0.08 is

(a)

0.000512

(b)

0.0512

(c)

0.512

(d)

5.12

90.

If m is the cube root of n, then n is

(a)

m²

(b)

\(\sqrt { m } \).

(c)

\(\frac { n }{ 3 } \)

(d)

m³

91.

Sachin purchases a bat for Rs 660 including sales tax. If the rate of sales tax is 10%, then the selling price of the bat is

(a)

Rs 580

(b)

Rs 590

(c)

Rs 600

(d)

Rs 610

92.

Listed below are the temperature °C for 10 days. -6, -8, 0, 3, 2, 0, 1, 5, 4, 4 What is the range of the data?

(a)

8°C

(b)

13°C

(c)

10°C

(d)

12°C

93.

In a throw of die, the probability of getting the number 8, is

(a)

\(\frac{1}{2}\)

(b)

\(\frac{5}{12}\)

(c)

(d)

94.

Which of the following is an identity?

(a)

(b+c)=b²+c²

(b)

b²-c²=(b+c)²-4bc

(c)

b²-c² =(b-c)²

(d)

(b+ c)² =b² + 2bc+c²

95.

If a and b are positive integers, then solution of the equation ax = b has to be always

(a)

positive

(b)

negative

(c)

One

(d)

Zero

96.

Which of the following is true for the adjacent angles of a parallelogram?

(a)

They are equal to each other

(b)

They are complementary angles

(c)

They are supplementary angles

(d)

None of the above

97.

Which of the following quadrilaterals does not have two pairs of adjacent sides equal and diagonals intersecting at right angle?

(a)

Rhombus

(b)

Square

(c)

Kite

(d)

Rectangle

98.

Which of the following is not a prism?

(a)

(b)

(c)

(d)

99.

Which of the nets given below will generate a cone?

(a)

(b)

(c)

(d)

100.

In a solid, if F = V = 5, then the number of edges in this shape is

(a)

(b)

(c)

(d)

Visit QB365-SLMS - https://www.qb365.in/slms/

Answers Key:

Multiple Choice Question

100 x 1 = 100

\({ \pi }^{ 2 }=16\pi \Rightarrow r=4cm\)
\(\therefore\) Curved surface area
= 2 x \(\pi\) x 4 x 5 = 40\(\pi\)cm²

Volume = \(\frac { 1 }{ 2 } \pi \)x3x3x8 = 36\(\pi\)cm³

Volume = 6 x 6 x 4 = 144 m³

\(n = 3,{n\over2}=2\)

125 ÷ 5 = 25 = 52.

28 x 7 = 196 = 14²

(a)
6 cm²

1 x 1 = 1
9 x 9 = 81

2001 \(\rightarrow \) 200
2004 \(\rightarrow \) 600
600-200=400

10.

11.

2 x 3 = 6, 4 x 3 = 12, 5 x 3 = 15, 7 x 3 = 21

12.

0.000003 = 3 x 10^-6

13.

100 + 100 = 200.

14.

The length of the bar corresponding to the head 'salary of employees' is maximum.

15.

\({2\over400}={5\over?}⇒?=1000\)

16.

a² - b² = (a + b) (a - b).

17.

Volume = a x b x c = abc.

18.

Area = (2l²m)(3lm²) = 6l³m³.

19.

1496000000000 = 1.496x10¹¹

20.

x² + x + xy + y + zx + z
= x(x + 1) + y(x + 1) + z(x + 1)
= (x + 1)(x + y + z).

21.

a(x + y + z) + b(x + y + z) + c(x + y + z)
= (x + y + z) (a + b + c).

22.

6x + 12y = 6(x + 2y

23.

6x - 42 = 6(x - 7)

24.

36p²q³x⁴ = 2 \(\times\) 2 \(\times\) 3 \(\times\) 3 \(\times\) p\(\times\) p \(\times\) q \(\times\) q \(\times\) q \(\times\)x\(\times\)x
48pq³x²=2\(\times\)2\(\times\)3\(\times\)3\(\times\)p\(\times\)q\(\times\)q\(\times\)q\(\times\)x\(\times\)x
p³q³x⁴=p\(\times\)p\(\times\)p\(\times\)q\(\times\)q\(\times\)q\(\times\)x\(\times\)x\(\times\)x\(\times\)x

25.

72x³y⁴z⁴=2\(\times\)2\(\times\)2\(\times\)3\(\times\)3\(\times\)x\(\times\)x\(\times\)x\(\times\)y\(\times\)y\(\times\)y\(\times\)y\(\times\)z\(\times\)z\(\times\)z\(\times\)z

26.

Coefficient = - 20.

27.

Coefficient = - 5.

28.

4a, - 7ab, 3b, 12.

29.

x²y - xy² + y² contains three terms.

30.

There are three variables x, y and z.

31.

x² + 4xy + 4y² = (x)² + 2(x)(2y) + (2y)²
= (x + 2y)² = {2 + 2(- 1)}²= 0.

32.

x² -x - 42
= X²- 7x + 6x - 42
= x(x - 7) + 6(x - 7)
= (x - 7)(x + 6)
\(\therefore\) k = - 7.

33.

(d)
a^-m

34.

(d)
2⁵

35.

(a)
(ab)^m

36.

\(\frac { 500\times 5\times T }{ 100 } =100\)
\(\Rightarrow T=\frac { 100\times 100 }{ 500\times 5 } =4\).

37.

3x² + 10x + 8 = 3x² + 6x + 4x + 8
= 3x(x + 2) + 4(x + 2)
= (x + 2)(3x + 4).

38.

Gain = 1200 - 1000 = 200
∴ Gain % = \(\frac { 200 }{ 1000 } \times \) 100% = 20%.

39.

(b)
rectangle

40.

(b)
\(({2n-4\over n})90^\circ\)

41.

Number of sides = \({360^\circ\over 24^\circ}=15\)

42.

\(\frac { 2 }{ 5 } =\frac { 2 }{ 5 } \times \)100%= 40%.

43.

3x =\(\frac{20}{7}\)-x \(\Rightarrow\) 3x + x =\(\frac{20}{7}\)
\(\Rightarrow\)4x =\(\frac{20}{7}\) \(\Rightarrow\)x=\(\frac{20}{7\times4}\)=\(\frac{5}{7}\)

44.

1 km = 1000 m
10 m : 1000 m or 10 : 1000 or 1 : 100.

45.

\(\frac{y}{3}\)-7=11\(\Rightarrow\)\(\frac{y}{3}\)=7+11=18
\(\Rightarrow\)y = 3 x 18 = 54

46.

(d)
a rational number.

47.

(b)
Whole numbers are not commutative for division

48.

(a)
Natural numbers are closed under subtraction

49.

Required number = 5 + 2 + 4 + 6 + 7 + 5 = 29.

50.

2y = 5 (3 + y) \(\Rightarrow\) 2y = 15 + 5y
\(\Rightarrow\) 5y - 2y = - 15
\(\Rightarrow\)3y = - 15 \(\Rightarrow\)y=-\(\frac{15}{3}\)=-5.

51.

-\(\frac{2}{3}\)=2x \(\Rightarrow\)x =-\(\frac{1}{3}\)

52.

The height of the bar corresponding to Hindi is maximum.

53.

z \(\div\) 4 = - 8 \(\Rightarrow\) \(\frac{z}{4}\)= - 8
\(\Rightarrow\) z = 4 (- 8) = - 32.

54.

The height of the bar corresponding to servant's salary is minimum.

55.

\(\therefore\)Number of zeroes at the end of the cube = 3.
\(\therefore\)Number of zeroes at the end of the cube root = \(\frac{3}{3}\) = 1

56.

\(\therefore\)Number of zeroes at the end of the number 20 = 1
\(\therefore\)Number of zeroes at the end of its cube = 3\(\times\) 1 = 3.

57.

x² - 2x + 1 = x2 - 3 \(\Rightarrow\) 2x = 4.

58.

59.

5\(\times\)5\(\times\)5=125

60.

1\(\times\)1\(\times\)1=1.

61.

(b)
15

62.

(a)
11:14

63.

64.

(b)
4x - 2 = 10

65.

66.

(d)
x² + (a + b) x + ab

67.

(b)
trapezium

68.

69.

(d)
2n, (n² - 1) and (n² + 1)

70.

71.

(b)
4 cm

72.

73.

(b)
y-axis

74.

(b)
y-axis

75.

(d)
2 [bh + hl]

76.

(d)
576

77.

(d)
1000 dm³

78.

79.

80.

(b)
a regular hexahedron

81.

(d)
a triangle

82.

(a)
\(\frac { -1 }{ 12 } \)

83.

84.

(d)
(n - 2)\(\times\) 180°

85.

(a)
(n²-1), 2n and (n₂+ 1)

86.

87.

88.

89.

90.

(d)
m³

91.

92.

(b)
13°C

93.

(d)
0

94.

(d)
(b+ c)² =b² + 2bc+c²

95.

(a)
positive

96.

97.

(d)
Rectangle

98.

99.

100.

(d)
8

CBSE 8th Mathematics - Full Syllabus One Mark Question Paper with Answer Key

QB365 Student Learing Managemnet System

Std: 8th Standard CBSE - Mathematics

chapter: - Model Question paper

Visit QB365-SLMS - https://www.qb365.in/slms/ Complete Questions and Answers

Questions:

Visit QB365-SLMS - https://www.qb365.in/slms/

Answers Key:

NEW MCQ Practice Test - CBSE Class 8

Mathematics CBSE Class 8 MCQ Practice Test

CBSE Class 8 MCQ Practice Test

8th Standard CBSE Study Materials