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MATHS 5 Marks Questions

Data Handling – II (Pictographs) · MP Board (MPBSE) STD 6 (Madhya Pradesh - English Medium). 14 questions.

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14 questions · timed · auto-graded

Question 15 Marks
The sale of electric bulbs on different days of a week is shown below:

Observe the pictograph and answer the following questions:
$i.\ $How many bulbs were on Friday?
$ii.\ $On which day maximum number of bulbs were sold?
$iii.\ $If one bulb was sold at the rate of $Rs\ 10$, what was the total earning on sunday?
$iv.\ $Can you find out the total earning of the week?
$v.\ $If one big carton can hold $9$ bulbs. How many cartons were needed in the given week, more than $7$, more than $8$ or more than $9$?
Answer
 
$i.\ $Number of figures of bulbs shown against Friday $= 7$
Given, $1$ figure $= 2$ bulbs
Therefore, Total number of bulbs sold on Friday $= 2 \times 7 = 14$
$ii.\ $Sunday shows the maximum number of figure of bulbs, i.e. $9$
Therefore, On Sunday, maximum bulbs were sold.
$iii.\ $Number of figures of bulbs shown against Sunday $= 9$
Therefore, Total number of bulbs sold on Sunday $= 2 \times 9 = 18$
Given, the cost of each bulb $= ₹ 10$
Therefore, Total earning on Sunday $= ₹ 10 \times 18 = ₹ 180$
$iv.\ $Total number of figures of bulbs shown throughout the week
$= 6 + 8 + 4 + 5 + 7 + 4 + 9 = 43$
Therefore, Total number of bulbs $= 43 \times 2 = 86$
Therefore, Total earning of the week $= ₹ 10 \times 86 = ₹ 860.$
$v.\ $Total number of bulbs $= 86$
Given that one big carton can hold $9$ bulbs.
Therefore, for holding $86$ bulbs, we need
$869 = 959$ cartons
So, more than $9$ cartons are needed.
 
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Question 25 Marks
Total number of students of a school in different years is shown in the following table:
Year
Number of students
$1996$
$400$
$1998$
$550$
$2000$
$450$
$2002$
$600$
$2006$
$650$
Represent the above data by a pictograph. Prepare another pictograph of students using any other symbol each represents students. Which pictograph do you find more informative?
Answer
Let one icon represent $50$ students. Then, the numbers of icons for different years are as follows:
Year Number of students
$1996$ $\frac{400}{50}=8$
$1998$ $\frac{550}{50}=11$
$2000$ $\frac{450}{50}=9$
$2002$ $\frac{600}{50}=12$
$2006$ $\frac{650}{50}=13$

The second pictograph is more informative.
Explanation: in the second pictograph, every icon is complete, therefore more convenient to understand.
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Question 35 Marks
Total number of students of a school in different years is shown in the following table:
Year
Number of students
$1996$
$400$
$1998$
$550$
$2000$
$450$
$2002$
$600$
$2006$
$650$
Represent the above data by a pictograph. Prepare a pictograph of students using one symbol an icon of a student to represent students and answer the following questions:
$i.\ $How many symbols represent total number of students in the year $2002$?
$ii.\ $How many symbols represent total number of students for the year $1998$?
Answer
Let one icon represent $100$ students. Then, the numbers of icons for different years are as follows:
Year Number of students
$1996$ $\frac{400}{100}=4$
$1998$ $\frac{550}{100}=5.5$
$2000$ $\frac{450}{100}=4.5$
$2002$ $\frac{600}{100}=6$
$2006$ $\frac{650}{100}=6.5$
The pictograph representing the above data is as follows:
$i.\ 6$ icons represent the total number of students in the year $2002.$
$ii.\ 5$ and half icons represent the total number of students in the year $1998.$
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Question 45 Marks
The number of girl students in each class of co$-$ed. Middle school is depicted by the following pictograph:
Observe the above pictograph and answer the following questions:
$i.\ $Which class has the maximum number of girl students?
$ii.\ $Is the number of girls in class $VI$ is less than the number of girls in class $V$?
$iii.\ $How many girls are there in $VII$ class?
Answer
Based on the above pictograph, we can prepare the following chart to determine the number of girl students in each class.
Given, $1$ figure $= 4$ girls
Class
Numbers of girls
$I$
$6 \times 4 = 24$
$II$
$4.5 \times 4 = 18$
$III$
$5 \times 4 = 20$
$IV$
$3.5 \times 4 = 14$
$V$
$2.5 \times 4 = 10$
$VI$
$4 \times 4 = 16$
$VII$
$3 \times 4 = 12$
$VIII$
$1.5 \times 4 = 6$
$i.\ $From the chart we can easily say that the maximum number of girls i.e $24$ are present in Class $I$
Therefore, Class $I$ has the maximum number of girls.
$ii.\ $Number of girls in class $VI = 16$
Number of girls in class $V = 10$
Therefore, number of girls in class $VI$ is not less than the number of girls in class $V$ No.
$iii.\ $From the chart, we can say that these are $12$ girls in class $VII.$
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Question 55 Marks
The pictograph shown different subject books which are kept in a library.

$i.\ $How many English books are there in the library?
$ii.\ $How many maths books are there?
$iii.\ $Which books are maxmimum in number?
$iv.\ $Which books are minimum in number?
Answer
Based on the above pictograph and the given data, we can prepare the following chart to ascertain the number of books present in the library for each subject:
Subjects
Numbers of books
Hindi
$5.5 \times 100 = 550$
English
$8 \times 100 = 800$
History
$2 \times 100 = 200$
Science
$4 \times 100 = 400$
Math
$2.5 \times 100 = 250$
$i.\ $From the above charts, we can say that there are $800$ English books in the library.
$ii.\ $The calculation on the above chart shows that there are $250$ Math books in the library.
$iii.\ $From the above charts, we can say that the English books are maximum in number, as there are $800$ books on that subject. Therefore, English.
$iv.\ $From the above chart, we can see that the History books are minimum in number, as there are only $200$ books of that subjects. Therefore, History.
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Question 65 Marks
In a village six fruit merchants sold the following number of fruit baskets in particular season:

Observe the above pictograph and answer the following questions.
$i.\ $Which merchant sold the maximum number of baskets?
$ii.\ $How many fruit baskets ware sold by answer?
$iii.\ $The merchants who have sold $600$ or more number of baskets are planning to buy a godown for the next season. Can you name them?
Answer
Given, one figure $= 100$ fruit baskets Based on the above pictographs and hints, we can prepare the following charts to ascertain the maximum number of fruit baskets sold by each merchant:
Merchant
Numbers of fruit baskets
Rahim
$4 \times 100 = 400$
Lakhan pal
$5.5 \times 100 = 550$
Anwar
$7 \times 100 = 700$
Martin
$9.5 \times 100 = 950$
Ranjit singh
$8 \times 100 = 800$
Joseph
$4.5 \times 100 = 450$
$i.\ $Martin.
$ii.\ $Anwar sold $700$ fruit baskets.
$iii.\ $On the above chart we can see that Anwar sold $700$ fruit baskets, Martin sold $950$ fruit baskets and Ranjit Singh sold $800$ fruit baskets. Therefore, Anwar, Martin and Ranjit Singh are the merchants who are planning to buy a godown for the next season.
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Question 75 Marks
The following are the details or the number of students in a class of $30$ students in a class of $30$ students present during a week.
Day
Number of students present
Monday
$24$
Tuesday
$20$
Wednesday
$28$
Thursday
$30$
Friday
$26$
Saturday
$22$
Represent the above data by a pictograph.
Answer
Let an icon of a student represent $4$ students. Then, the number of icons for each day is as follows:
Day Number of students present
Monday $\frac{24}{4}=6$
Tuesday $\frac{20}{4}=5$
Wednesday $\frac{28}{4}=7$
Thursday $\frac{30}{4}=7.5$
Friday $\frac{26}{4}=6.5$
Saturday $\frac{22}{4}=5.5$
The pictograph representing the above data is as follows:
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Question 85 Marks
The sale of electric bulbs on different days of a week is shown below:

Observe the pictograph and answer the following questions:
$i.\ $How many bulbs were on Friday?
$ii.\ $On which day maximum number of bulbs were sold?
$iii.\ $If one bulb was sold at the rate of $Rs.\ 10$, what was the total earning on sunday?
$iv.\ $Can you find out the total earning of the week?
$v.\ $If one big carton can hold $9$ bulbs. How many cartons were needed in the given week, more than $7$, more than $8$ or more than $9$?
Answer
 
$i.\ $Number of figures of bulbs shown against Friday $= 7$
Given, $1$ figure $= 2$ bulbs
Therefore, Total number of bulbs sold on Friday $= 2 \times 7 = 14$
$ii.\ $Sunday shows the maximum number of figure of bulbs, i.e. $9$
Therefore, On Sunday, maximum bulbs were sold.
$iii.\ $Number of figures of bulbs shown against Sunday $= 9$
Therefore, Total number of bulbs sold on Sunday $= 2 \times 9 = 18$
Given, the cost of each bulb $= ₹ 10$
Therefore, Total earning on Sunday $= ₹ 10 \times 18 = ₹ 180$​​​​​​​
$iv.\ $Total number of figures of bulbs shown throughout the week
$= 6 + 8 + 4 + 5 + 7 + 4 + 9 = 43$
Therefore, Total number of bulbs $= 43 \times 2 = 86$
Therefore, Total earning of the week $= ₹ 10 \times 86 = ₹ 860.​​​​​​​$​​​​​​​
$v.\ $Total number of bulbs $= 86$
Given that one big carton can hold $9$ bulbs.
Therefore, for holding $86$ bulbs, we need
$869 = 959$ cartons
So, more than $9$ cartons are needed.
 
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Question 95 Marks
Total number of students of a school in different years is shown in the following table:
Year
Number of students
$1996$
$400$
$1998$
$550$
$2000$
$450$
$2002$
$600$
$2006$
$650$
Represent the above data by a pictograph.
Prepare another pictograph of students using any other symbol each represents students. Which pictograph do you find more informative?
Answer
Let one icon represent $50$ students. Then, the numbers of icons for different years are as follows:
Year Number of students
$1996$ $\frac{400}{50}=8$
$1998$ $\frac{550}{50}=11$
$2000$ $\frac{450}{50}=9$
$2002$ $\frac{600}{50}=12$
$2006$ $\frac{650}{50}=13$

The second pictograph is more informative.
Explanation: in the second pictograph, every icon is complete, therefore more convenient to understand.
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Question 105 Marks
Total number of students of a school in different years is shown in the following table:
Year
Number of students
$1996$
$400$
$1998$
$550$
$2000$
$450$
$2002$
$600$
$2006$
$650$
Represent the above data by a pictograph. Prepare a pictograph of students using one symbol an icon of a student to represent students and answer the following questions:
$i.\ $How many symbols represent total number of students in the year $2002$?
$ii.\ $How many symbols represent total number of students for the year $1998$?
Answer
Let one icon represent $100$ students. Then, the numbers of icons for different years are as follows:
Year Number of students
$1996$ $\frac{400}{100}=4$
$1998$ $\frac{550}{100}=5.5$
$2000$ $\frac{450}{100}=4.5$
$2002$ $\frac{600}{100}=6$
$2006$ $\frac{650}{100}=6.5$
The pictograph representing the above data is as follows:
$i.\ 6$ icons represent the total number of students in the year $2002.$
$ii.\ 5$ and half icons represent the total number of students in the year $1998.$
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Question 115 Marks
The number of girl students in each class of co$-$ed. Middle school is depicted by the following pictograph:

Observe the above pictograph and answer the following questions:
$i.\ $Which class has the maximum number of girl students?
$ii.\ $Is the number of girls in class $VI$ is less than the number of girls in class $V$?
$iii.\ $How many girls are there in $VII$ class?
Answer
Based on the above pictograph, we can prepare the following chart to determine the number of girl students in each class.
Given, $1$ figure $= 4$ girls
Class
Numbers of girls
$I$
$6 \times 4 = 24$
$II$
$4.5 \times 4 = 18$
$III$
$5 \times 4 = 20$
$IV$
$3.5 \times 4 = 14$
$V$
$2.5 \times 4 = 10$
$VI$
$4 \times 4 = 16$
$VII$
$3 \times 4 = 12$
$VIII$
$1.5 \times 4 = 6$
$i.\ $From the chart we can easily say that the maximum number of girls i.e $24$ are present in Class $I$
Therefore, Class $I$ has the maximum number of girls.
$ii.\ $Number of girls in class $VI = 16$
Number of girls in class $V = 10$
Therefore, number of girls in class $VI$ is not less than the number of girls in class $V$ No.
$iii.\ $From the chart, we can say that these are $12$ girls in class $VII.$
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Question 125 Marks
The pictograph shown different subject books which are kept in a library.

$i.\ $How many English books are there in the library?
$ii.\ $How many maths books are there?
$iii.\ $Which books are maxmimum in number?
$iv.\ $Which books are minimum in number?
Answer
Based on the above pictograph and the given data, we can prepare the following chart to ascertain the number of books present in the library for each subject:
Subjects
Numbers of books
Hindi
$5.5 \times 100 = 550$
English
$8 \times 100 = 800$
History
$2 \times 100 = 200$
Science
$4 \times 100 = 400$
Math
$2.5 \times 100 = 250$
$i.\ $From the above charts, we can say that there are $800$ English books in the library.
$ii.\ $The calculation on the above chart shows that there are $250$ Math books in the library.
$iii.\ $From the above charts, we can say that the English books are maximum in number, as there are $800$ books on that subject. Therefore, English.
$iv.\ $From the above chart, we can see that the History books are minimum in number, as there are only $200$ books of that subjects. Therefore, History.
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Question 135 Marks
In a village six fruit merchants sold the following number of fruit baskets in particular season:

Observe the above pictograph and answer the following questions.
$i.\ $Which merchant sold the maximum number of baskets?
$ii.\ $How many fruit baskets ware sold by answer?
$iii.\ $The merchants who have sold $600$ or more number of baskets are planning to buy a godown for the next season. Can you name them?
Answer
Given, one figure $= 100$ fruit baskets Based on the above pictographs and hints, we can prepare the following charts to ascertain the maximum number of fruit baskets sold by each merchant:
Merchant
Numbers of fruit baskets
Rahim
$4 \times 100 = 400$
Lakhan pal
$5.5 \times 100 = 550$
Anwar
$7 \times 100 = 700$
Martin
$9.5 \times 100 = 950$
Ranjit singh
$8 \times 100 = 800$
Joseph
$4.5 \times 100 = 450$
$i.\ $Martin.
$ii.\ $Anwar sold $700$ fruit baskets.
$iii.\ $On the above chart we can see that Anwar sold $700$ fruit baskets, Martin sold $950$ fruit baskets and Ranjit Singh sold $800$ fruit baskets. Therefore, Anwar, Martin and Ranjit Singh are the merchants who are planning to buy a godown for the next season.
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Question 145 Marks
The following are the details or the number of students in a class of $30$ students in a class of $30$ students present during a week.
Day
Number of students present
Monday
$24$
Tuesday
$20$
Wednesday
$28$
Thursday
$30$
Friday
$26$
Saturday
$22$
Represent the above data by a pictograph.
Answer
Let an icon of a student represent $4$ students. Then, the number of icons for each day is as follows:
Day Number of students present
Monday $\frac{24}{4}=6$
Tuesday $\frac{20}{4}=5$
Wednesday $\frac{28}{4}=7$
Thursday $\frac{30}{4}=7.5$
Friday $\frac{26}{4}=6.5$
Saturday $\frac{22}{4}=5.5$
The pictograph representing the above data is as follows:
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