5 Marks Questions - Maths STD 7 Questions - Vidyadip

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Question 15 Marks

Following data gives total marks (out of $600$) obtained by six children of a particular class.

Students:	Ajay	Bali	Dipti	Faiyaz	Gotika	Hari
Marks Obtained:	$450$	$500$	$300$	$360$	$400$	$540$

Represent the data by a bar graph.

Answer

Mark the horizontal axis $OX$ as “Name of the Students” and the vertical axis $OY$ as “Marks Obtained”. Along the horizontal axis $OX$, choose bars of uniform (equal) width, with a uniform gap between them. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ small division to represent 100 marks.

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Question 25 Marks

The following data gives the amount of loans $($in crores of rupees$)$ disbursed by a bank during some years:

Year	$1992$	$1993$	$1994$	$1995$	$1996$
Loan $($in crores of rupees$)$	$28$	$33$	$55$	$55$	$80$

$i.$ Represent the above data with the help of a bar graph.
$ii.$ With the help of the bar graph, indicate the year in which amount of loan is not increased Over that of the preceding year.

Answer

Mark the horizontal axis $OX$ as “Years” and the vertical axis $OY$ as $“$Loan $($in crores of rupees$)”.$
Along the horizontal axis $OX$, choose bars of uniform $($equal$)$ width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ big division to represent $10$ crores of rupees.
In $1995,$ the loan amount was not increased over that of the preceding year.

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Question 35 Marks

The production of saleable steel in some of the steel plants of our country during $1999$ is given below:

Plant	Bhilai	Durgapur	Rourkela	Bokaro
Production(in thousand tonnes)	$160$	$80$	$200$	$150$

Construct a bar graph to represent the above data on a graph paper by using the scale $1$ big division$=20$ thousand tonnes.

Answer

Mark the horizontal axis $OX$ as “Name of the Steel Plant” and the vertical axis $OY$ as Production (in thousand tonnes)”.
Along the horizontal axis $OX,$ choose bars of uniform (equal) width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ big division to represent $20$ thousand tonnes.

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Question 45 Marks

The following data shows the average age of men in various countries in a certain year:

Country	India	Nepal	China	Pakistan	U.K	U.S.A
Average age(in years)	$55$	$52$	$60$	$50$	$70$	$75$

Represent the above information by a bar graph.

Answer

Mark the horizontal axis $OX$ as “Countries” and the vertical axis $OY$ as “Average Age of men (in years)”.
Along the horizontal axis $OX$, choose bars of uniform (equal) width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ big division to represent $10$ year.

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Question 55 Marks

The following table shows the interest paid by a company (in lakhs):

Year	1995-96	1996-97	1997-98	1998-99	1999-2000
Interest (in lakhs of rupees)	$20$	$25$	$15$	$18$	$30$

Draw the bar graph to represent the above information.

Answer

Mark the horizontal axis $OX$ as “Years” and the vertical axis $OY$ as “Interest (in lakhs of rupees)”.
Along the horizontal axis $OX$, choose bars of uniform (equal) width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ big divisions to represent $5$ lakhs rupees.

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Question 65 Marks

The following data gives the number (in thousands) of applicants registered with an Employment Exchange during, $1995-2000:$

Year	1995	1996	1997	1998	1999	2000
Number of applicants(in thousands)	$18$	$20$	$24$	$28$	$30$	$34$

Construct a bar graph to represent the above data.

Answer

Mark the horizontal axis $OX$ as “Years” and the vertical axis $OY$ as “Number of Applicants Registered (in thousands)”.
Along the horizontal axis $OX$, choose bars of uniform (equal) width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ big division to represent $4$ thousand applicants.

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Question 75 Marks

The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:

Year	1960-61	1970-71	1980-81	1990-91	2000-2001
Route length (in thousand kilometers)	$56$	$60$	$61$	$74$	$98$

Represent the above data with the help of a bar graph.

Answer

Mark the horizontal axis $OX$ as “Years” and the vertical axis $OY$ as “Route Length (in thousand kilometres)”.
Along the horizontal axis $OX$, choose bars of uniform (equal) width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ big division to represent $1000Km.$

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Question 85 Marks

The following data gives the production of food grains (in thousand tonnes) for some years:

Year	1995	1996	1997	1998	1999	2000
Production(in thousand tones)	$120$	$150$	$140$	$180$	$170$	$190$

Represent the above data with the help of a bar graph.

Answer

Mark the horizontal axis $OX$ as “Years” and the vertical axis $OY$ as “Production of food grains (in thousand tonnes)”.
Along the horizontal axis $OX$, choose bars of uniform (equal) width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ big division to represent $20$ thousand tonnes.

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Question 95 Marks

Two hundred students of class $VI$ and $VII$ were asked to name their favourite colours so as to decide upon what should be the colour of their school house. The results are shown in the following table.

Colour:	Red	Green	Blue	Yellow	Orange
Number of students:	$43$	$19$	$55$	$49$	$34$

Represent the given data on a bar graph.
$i.$ Which is the most preferred colour and which is the least?
$ii.$ How many colours are there in all?

Answer

Mark the horizontal axis $OX$ as “Name of the Colour” and the vertical axis $OY$ as “Number Of Students”.
Along the horizontal axis $OX$, choose bars of uniform $($equal$)$ width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ small division to represent $10$ students.
$i.$ The most preferred colour is blue and the least preferred is green.
$ii.$ In all, there are $5$ colours.

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Question 105 Marks

Consider the following data gathered from a survey of a colony:

Favorite Sport	Cricket	Basket ball	Swimming	Hockey	Athletics
Watching	$1240$	$470$	$510$	$423$	$250$
Participating	$620$	$320$	$320$	$250$	$105$

Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph?
$i.$ Which sport is most popular?
$ii.$ What is more preferred watching or participating in sports?

Answer

Mark the horizontal axis $OX$ as “Favourite Sports” and the vertical axis $OY$ as “Number of People”.
Along the horizontal axis $OX$, choose bars of uniform $($equal$)$ width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $2$ big divisions to represent $400$ people.
$i.$ Cricket is the most popular sport.
$ii.$ Watching is preferred over participation.

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Question 115 Marks

Number of children in six different classes are given below. Represent the data on a bar graph.

Class	$V $	$VI $	$VII $	$VIII $	$IX$	$X$
Number of children	$135$	$120$	$95$	$100$	$90$	$80$

$i.$ Which class has the maximum number of children?
$ii.$ Which class has the minimum number of children?
How do you choose the scale?

Answer

Mark the horizontal axis $OX$ as “Class” and the vertical axis $OY$ as “Number of Children”.
Along the horizontal axis $OX$, choose bars of uniform $($equal$)$ width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ big division to represent $40$ children.
$i.$ We choose $1$ big to represent $40$ children.
$ii.$ The maximum numbers of students are in class $V$.
$iii.$ The minimum number of students are in class $X$.

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Question 125 Marks

The performance of students in $1^{st}$ term and $2^{nd}$ term is as given below. Draw a double bar graph choosing appropriate scale and answer the following:

Subject	English	Hindi	Maths	Science	Social Science
$1^{st}$ term	$67$	$72$	$88$	$81$	$73$
$2^{nd}$ term	$70$	$65$	$95$	$85$	$75$

$i.$ In which subject, has the children improved their performance the most?
$ii.$ Has the performance gone down in any subject?

Answer

We choose $1$ small division to represent $1$ child in the graph.
Mark the horizontal axis $OX$ as “Subject” and the vertical axis $OY$ as “Marks”.
Along the horizontal axis $OX$, choose bars of uniform $($equal$)$ width, with a uniform gap between them.
Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose $1$ big division to represent $10$ marks.
$i.$ In Maths, the students showed their greatest improvement.
$ii.$ The students performed worst in Hindi.

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MCQ 135 Marks

The following data gives the amount of manure $($in thousand tonnes$)$ manufactured by a company during some years:

Year	$1992$	$1993$	$1994$	$1995$	$1996$	$1997$
Manure $($in thousand tonnes$)$	$15$	$35$	$45$	$30$	$40$	$20$

Represent the above data with the help of a bar graph.
$1.$ Indicate with the help of the bar graph the year in which the amount of manure manufactured by the company was maximum.
$2.$ Choose the correct alternative:
The consecutive years during which there was maximum decrease in manure production are:

A
$1994$ and $1995$
✓
$1996$ and $1997$
C
$1992$ and $1993$
D
$1995$ and $1996$

Answer

Correct option: B.

$1996$ and $1997$

$1996$ and $1997$

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Question 145 Marks

The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:

Year	1992	1993	1994	1995	1996
Loan (in crores of rupees)	28	33	55	55	80

(i) Represent the above data with the help of a bar graph.
(ii) With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.

Answer

1995

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Question 155 Marks

The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:

Year	1960-61	1970-71	1980-81	1990-91	2000-2001
Route length (in thousand kilometres)	56	60	61	74	98

Represent the above data with the help of a bar graph.

Answer

self

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Question 165 Marks

The following data gives the number (in thousands) of applicants registered with an Employment Exchange during, 1995-2000:

Year	1995	1996	1997	1998	1999	2000
Number of applicants registered (in thousands)	18	20	24	28	30	34

Construct a bar graph to represent the above data.

Answer

self

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Question 175 Marks

The production of saleable steel in some of the steel plants of our country during 1999 is given below:

Plant	Bhilai	Durgapur	Rourkela	Bokaro
Production (In thousand tonnes)	160	80	200	150

Construct a bar graph to represent the above data on a graph paper by using the scale 1 big division = 20 thousand tonnes.

Answer

self

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Question 185 Marks

Consider the following data gathered from a survey of a colony:

Favourate Sport:	Cricket	Basket-Ball	Swimming	Hockey	Athletics
Watching	1240	470	510	423	250
Participating	620	320	320	250	105

Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph?
(i) Which sport is most popular?
(ii) What is more preferred watching or participating in sports?

Answer

(i) Cricket $\quad$ (ii) Watching

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Question 195 Marks

The performance of students in 1st term and 2nd term is as given below. Draw a double bar graph choosing appropriate scale and answer the following:

Subject:	English	Hindi	Maths	Science	S. Science
1^st term:	67	72	88	81	73
2^nd term:	70	65	95	85	75

(i) In which subject, has the children improved their performance the most?
(ii) Has the performance gone down in any subject?

Answer

(i) Maths $\quad$ (ii) Hindi

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Question 205 Marks

Number of children in six different classes are given below. Represent the data on a bar graph.

Class:	V	VI	VII	VIII	IX	X
Number of children:	135	120	95	100	90	80

(i) How do you choose the scale.
(ii) Which class has the maximum number of children?
(iii) Which class has the minimum number of children?

Answer

(ii) V $\quad$ (iii) X

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Question 215 Marks

Following data gives total marks (out of 600) obtained by six children of a particular class.

Student:	Ajay	Bali	Dipti	Faiyaz	Gotika	Hari
Marks obtained:	450	500	300	360	400	540

Represent the data by a bar graph.

Answer

self

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Question 225 Marks

The following data gives the amount of manure (in thousand tonnes) manufactured by a company during some years:

Year	1992	1993	1994	1995	1996	1997
Manure (in thousand tonnes)	15	35	45	30	40	20

(i) Represent the above data with the help of a bar graph.
(ii) Indicate with the help of the bar graph the year in which the amount of manure manufactured by the company was maximum.
(iii) Choose the correct alternative:
The consecutive years during which there was maximum decrease in manure production are:
(a) 1994 and 1995 $\quad$ (b) 1992 and 1993 $\quad$ (c) 1996 and 1997 $\quad$ (d) 1995 and 1996

Answer

(ii) 1994 $\quad$ (iii) 1996 and 1997.

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Question 235 Marks

The following data gives the production of foodgrains (in thousand tonnes) for some years:

Year	1995	1996	1997	1998	1999	2000
Production (in thousand tonnes)	120	150	140	180	170	190

Represent the above data with the help of a bar graph.

Answer

self

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Question 245 Marks

The following data shows the average age of men in various countries in a certain year:

Country	India	Nepal	China	Pakistan	U.K.	U.S.A.
Average age (in years)	55	52	60	50	70	75

Represent the above information by a bar graph.

Answer

self

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Question 255 Marks

The following table shows the interest paid by a company (in lakhs):

Year	1995-96	1996-97	1997-98	1998-99	1999-2000
Interest (in lakhs of rupees)	20	25	15	18	30

Draw the bar graph to represent the above information.

Answer

self

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Question 265 Marks

Two hundred students of class VI and VII were asked to name their favourite colours so as to decide upon what should be the colour of their school house. The results are shown in the following table.

Colour:	Red	Green	Blue	Yellow	Orange
Number of students:	43	19	55	49	34

Represent the given data on a bar graph.
(i) Which is the most preferred colour and which is the least?
(ii) How many colours are there in all?

Answer

(i) Blue, Green $\quad$ (ii) 5

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5 Marks Questions - Maths STD 7 Questions - Vidyadip