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Secondary School (English Medium) (5 to 8) इयत्ता ८ - CBSE Question Bank Solutions

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Draw a histogram to represent the following data:

Monthly salary (in Rs) Number of teachers
5600−5700 8
5700−5800 4
5800−5900 3
5900−6000 5
6000−6100 2
6100−6200 3
6200−6300 1
6300−6400 2
[13] Introduction to Graphs
Chapter: [13] Introduction to Graphs
Concept: undefined >> undefined

Divide `15 y^4 + 16 y^3 + 10-3 y - 9y^2 - 6` by 3y − 2. Write down the coefficients of the terms in the quotient.

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

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A beam 5 m long and 40 cm wide contains 0.6 cubic metre of wood. How thick is the beam?

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

Using division of polynomials, state whether

x + 6 is a factor of  x2 − x − 42

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

Using division of polynomials, state whether

 4x − 1 is a factor of 4x2 − 13x − 12

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

The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of the side 45 cm. How many cubes are formed?

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

The following histogram shows the number of literate females in the age group of 10 to 40 years in a town:

(i) Write the age group in which the number of literate female is the highest.
(ii) What is the class width?
(iii) What is the lowest frequency?
(iv) What are the class marks of the classes?
(v) In which age group literate females are the least?

[13] Introduction to Graphs
Chapter: [13] Introduction to Graphs
Concept: undefined >> undefined

Using division of polynomials, state whether

2y − 5 is a factor of 4y4 − 10y3 − 10y2 + 30y − 15

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

The following histogram shows the monthly wages (in Rs) of workers in a factory:

(i) In which wage-group the largest number of workers are being kept? What is their number?
(ii)  What wages are the least number of workers getting? What is the number of such workers?
(iii) What is the total number of workers?
(iv) What is the factory size?

[13] Introduction to Graphs
Chapter: [13] Introduction to Graphs
Concept: undefined >> undefined

Using division of polynomials, state whether

3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35

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

Below is the histogram depicting marks obtained by 43 students of a class:
(i) Write the number of students getting the highest marks.
(ii) What is the class size?

[13] Introduction to Graphs
Chapter: [13] Introduction to Graphs
Concept: undefined >> undefined

Using division of polynomials, state whether

z2 + 3 is a factor of z5 − 9z

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

The following histogram shows the frequency distribution f the ages of 22 teachers in a school:

(i) What is the number of eldest and youngest teachers in the school?
(ii) Which age group teachers are more in the school and which least?
(iii) What is the size of the classes?
(iv) What are the class marks of the classes?

[13] Introduction to Graphs
Chapter: [13] Introduction to Graphs
Concept: undefined >> undefined

Using division of polynomials, state whether

2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15

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

Fill in the blank in the following so as to make the statement true:

1 m3 = .........cm3

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

Fill in the blank in the following so as to make the statement true:

 1 litre = ....... cubic decimetre

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

Fill in the blank in the following so as to make the statement true:

 1 kl = ....... m3

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

Fill in the blank in the following so as to make the statement true:

 The volume of a cube of side 8 cm is ........

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

Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.

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

Fill in the blank in the following so as to make the statement true:

The volume of a wooden cuboid of length 10 cm and breadth 8 cm is 4000 cm3. The height of the cuboid is ........ cm.

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