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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
[4] Data Handling
Chapter: [4] Data Handling
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?

[4] Data Handling
Chapter: [4] Data Handling
Concept: undefined >> undefined

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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?

[4] Data Handling
Chapter: [4] Data Handling
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?

[4] Data Handling
Chapter: [4] Data Handling
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?

[4] Data Handling
Chapter: [4] Data Handling
Concept: undefined >> undefined

The weekly wages (in Rs.) of 30 workers in a factory are given:
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840
Mark a frequency table with intervals as 800-810, 810-820 and so on, using tally marks. Also, draw a histogram and answer the following questions:
(i) Which group has the maximum number of workers?
(ii) How many workers earn Rs 850 and more?
(iii) How many workers earn less than Rs 850?

[4] Data Handling
Chapter: [4] Data Handling
Concept: undefined >> undefined

The following table shows the number of patients discharged from a hospital with HIV diagnosis in different years:

Years: 2002 2003 2004 2005 2006
Number of patients: 150 170 195 225 230

Represent this information by a graph.

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

The following table shows the sales of a commodity during the years 2000 to 2006.

Years: 2000 2001 2002 2003 2004 2005 2006
Sales (in lakhs of Rs): 1.5 1.8 2.4 3.2 5.4 7.8 8.6

Draw a graph of this information.

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

Draw the temperature-time graph in each of the following cases:

Time (in hours): 7:00 9:00 11:00 13:00 15:00 17:00 19:00 21:00
Temperature (°F) in: 100 101 104 102 100 99 100 98
[13] Introduction to Graphs
Chapter: [13] Introduction to Graphs
Concept: undefined >> undefined

Draw the temperature-time graph in each of the following cases:

Time (in hours): 8:00 10:00 12:00 14:00 16:00 18:00 20:00
Temperature (°F) in: 100 101 104 103 99 98 100
[13] Introduction to Graphs
Chapter: [13] Introduction to Graphs
Concept: undefined >> undefined

Draw the velocity-time graph from the following data:

Time (in hours): 7:00 8:00 9:00 10:00 11:00 12:00 13:00 14:00
Speed (in km/hr): 30 45 60 50 70 50 40 45
[13] Introduction to Graphs
Chapter: [13] Introduction to Graphs
Concept: undefined >> undefined

The runs scored by a cricket team in first 15 overs are given below:

Overs: I II III IV V VI VII VIII IX X XI XII XIII XIV XV
Runs: 2 1 4 2 6 8 10 21 5 8 3 2 6 8 12

Draw the graph representing the above data in two different ways as a graph and as a bar chart.

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

The runs scored by two teams A and B in first 10 overs are given below:

Overs: I II III IV V VI VII VIII IX X
Team A: 2 1 8 9 4 5 6 10 6 2
Team B: 5 6 2 10 5 6 3 4 8 10

Draw a graph depicting the data, making the graphs on the same axes in each case in two different ways as a graph and as a bar chart.

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

The compound interest payable annually on a certain sum for 2 years is Rs 40.80 and the simple interest is Rs 40. Find the sum and the rate percent.

[7] Comparing Quantities
Chapter: [7] Comparing Quantities
Concept: undefined >> undefined
A sum of Rs. 20,000 is borrowed by Heena for 2 years at an interest of 8% compounded annually. Find the Compound Interest (C.I.) and the amount she has to pay at the end of 2 years.
[7] Comparing Quantities
Chapter: [7] Comparing Quantities
Concept: undefined >> undefined
Divide 44(x4 – 5x3 – 24x2) by 11x(x – 8).
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined
Divide z(5z2 – 80) by 5z(z + 4)
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined
The given graph describes the distances of a car from a city P at different times when it is travelling from City P to City Q, which are 350 km apart. Study the graph and answer the following:
(i) What information is given on the two axes?
(ii) From where and when did the car begin its journey?
(iii) How far did the car go in the first hour?
(iv) How far did the car go during (i) the 2nd hour? (ii) the 3rd hour?
(v) Was the speed same during the first three hours? How do you know it?
(vi) Did the car stop for some duration at any place? Justify your answer.
(vii) When did the car reach City Q?
[13] Introduction to Graphs
Chapter: [13] Introduction to Graphs
Concept: undefined >> undefined

Solve: 5x + `7/2 = 3/2x` - 14

[2] Linear Equations in One Variable
Chapter: [2] Linear Equations in One Variable
Concept: undefined >> undefined

The rational numbers `1/3` and `(-1)/3`are on the ______ sides of zero on the number line.

[1] Rational Numbers
Chapter: [1] Rational Numbers
Concept: undefined >> undefined
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