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

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Mathematics
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The difference in simple interest and compound interest on a certain sum of money at \[6\frac{2}{3} %\] per annum for 3 years is Rs 46. Determine the sum.

[7] Comparing Quantities
Chapter: [7] Comparing Quantities
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At what rate percent per annum will a sum of Rs 4000 yield compound interest of Rs 410 in 2 years?

[7] Comparing Quantities
Chapter: [7] Comparing Quantities
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The present population of a town is 28000. If it increases at the rate of 5% per annum, what will be its population after 2 years?

[7] Comparing Quantities
Chapter: [7] Comparing Quantities
Concept: undefined >> undefined

Given below is the frequency distribution of the heights of 50 students of a class:

Class interval: 140−145 145−150 150−155 155−160 160−165
Frequency: 8 12 18 10 5

Draw a histogram representing the above data.

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

Draw a histogram of the following data:

Class interval: 10−15 15−20 20−25 25−30 30−35 34−40
Frequency: 30 98 80 58 29 50
[4] Data Handling
Chapter: [4] Data Handling
Concept: undefined >> undefined

Number of workshops organized by a school in different areas during the last five years are as follows:

Years No. of workshops
1995−1996 25
1996−1997 30
1997−1998 42
1998−1999 50
1999−2000 65

Draw a histogram representing the above data.

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

In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:

114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.

Draw the histogram of the frequency distribution (taking one of the class intervals as 50 − 100).

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

Construct a histogram for the following data:

Monthly school fee (in Rs): 30−60 60−90 90−120 120−150 150−180 180−210 210−240
Number of schools: 5 12 14 18 10 9 4
[4] Data Handling
Chapter: [4] Data Handling
Concept: undefined >> undefined

Draw a histogram for the daily earnings of 30 drug stores in the following table:

Daily earnings (in Rs): 450−500 500−550 550−600 600−650 650−700
Numbers of stores: 16 10 7 3 1
[4] Data Handling
Chapter: [4] Data Handling
Concept: undefined >> undefined

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
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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
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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
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