Data Through Pictures NCERT Solutions | Mathematics (Maths Mela) Class 5 - New NCERT PDF Download

Page No. 179-186

Child TV Reporter

Samaira and Kabir decided to act like reporters and collect information from their friends.
Q: They collected data from 35 friends and recorded it in a notebook as shown below.

Ans:

Look at the table and answer the following questions.

Q1: How many children watch TV for more than half an hour?
Ans:
Number of children who watch TV for more than half an hour =13 + 7 + 3 + 3 = 26 children.

Q2: How many children watch TV for less than two hours?
Ans:
Number of children who watch TV for less than two hours = 9 + 13 + 7 = 29 children.

Q3: The number of children who watch TV for more than two hours is _________.
Ans:
Number of children who watch TV for more than two hours is 3.

Q4: More children watch TV for two hours than half an hour. (True/False)
Ans:
Given statement is false, since only 3 children watch TV for two hours, but 9 children watch TV for half an hour.

Q:
Ans:
Yes, watching TV for too long can cause eye strain and tiredness.

Joseph Uncle takes stock of the play items (toys, board games, and sports items) in his store a week before the summer break. He tries to record the items in his shop using a pictograph. He notices that there are too many items of each kind in his shop and it is not easy to make a picture for every item
Dipesh, one of his helpers, suggested using one picture (icon) for every 5 items of each kind.
His pictograph is shown below.
Dipesh used a scale while recording the items in the pictograph. A scale helps record a large number of things using fewer icons.
Now, answer the following questions based on the above pictograph.

Q1: How many toys does Joseph Uncle have?
Ans:
Joseph Uncle has 8 × 5 = 40 toys

Q2: How many board games does Joseph Uncle have?
Ans:
Joseph Uncle has 10 × 5 = 50 board games.

Q3: How many total play items does Joseph Uncle have?
Ans:
Joseph Uncle has 12 × 5 = 60 sports items.
Thus, total play items Joseph Uncle has = 40 + 50 + 60 = 150.

Q: Is there any other scale that you can use to make the pictograph?
Ans:
Yes, we can use another scale to make the pictograph simpler.

Two-wheelers on the Road

Deepti noted down the number of two-wheelers passing her house in one hour on three different days.
She used one icon to show 3 two-wheelers.

Q1: Which day had the most two-wheelers passing her house?
Ans:
Friday has the most symbols, so on Friday most two-wheelers passed her house.

Q2: How many total two-wheelers did she record over three days?
Ans:
Two-wheeler recorded on Monday
= 8 × 3 = 24 two-wheelers

Two-wheeler recorded on Wednesday
= 4 × 3 = 12 two-wheelers

Two-wheeler recorded on Friday
= 12 × 3 = 36 two-wheelers

Total two-wheelers Deepti recorded over three days = 24 + 12 + 36 = 72 two-wheelers

Q3: How many fewer two-wheelers were seen on Wednesday than on Monday?
Ans:
On Monday Deepti saw 24 two-wheelers
On Wednesday Deepti saw 12 two-wheelers
Difference = 24 – 12 = 12 two-wheelers
∴ 12 fewer two-wheelers ware seen on Wednesday than on Monday.

Q4: How many more two-wheelers were seen on Friday than on Wednesday?
Ans:
On Wednesday Deepti saw 12 two-wheelsrs.
On Friday Deepti saw 36 two-wheelers.
Difference = 36 – 12 = 24 two-wheelers.
24 more two wheelers were seen on Friday than on Wednesday.

Q5: Choose any other scale and represent the same data using a pictograph in your notebook.
Ans:
Here 1 = 4 two-wheelers

Recording a Day

One day Raman and Sheela decided to record how they spent their day.
Raman recorded his daily routine in the table below.
Sheela recorded her routine in the following manner.
Observe Raman’s and Sheela’s routines and answer the following questions.

Q1: Whose daily routine shows more time spent on sleeping?
Ans:
Raman spent 9 hours on sleeping and Sheela spent 8 hours on sleeping.
So, Raman’s daily routine shows more time spent on sleeping.

Q2: Who spends more hours in the school?
Ans:
Raman spends 6 hours in school and Sheela spends 7 hours in school.
So, Sheela spends more hours in school.

Q3: How many more hours does Sheela spend studying compared to Raman?
Ans:
Sheela spends 4 hours and Raman spends 2 hours in studying.
Difference = 4-2 = 2 hours
Sheela spends 2 more hours studying compared to Raman.

Q4: Is there any activity on which they spend the same amount of time? If yes, name the activity.
Ans:
No, there is no activity on which they spend the same amount of time.

Q5: Based on their data, whose routine do you think is more balanced? Why?
Ans:
Sheela’s routine appears to be more balanced with a good allocation for sleep, studying, and other activities.

Day in My Life

Q: Record your daily routine (24 hours) in hours and minutes, as necessary. Note the time spent on activities like sleeping, studying, playing, eating, and others.
Ans:
Do it yourself.

Q: Make a bar graph of the time you spend on different activities in the space given below.
Ans:
Do it yourself.

Whose Index Finger is Longer?

Cut long paper strips from waste paper. Give one strip (each of the same width) to each of your friends. Now, put the paper strip on your index finger and tear off the extra strip extending above your fingers.
Paste these paper strips along the horizontal line in the given bar graph.
Paste the strips in the space given below.
Ans:
Do it yourself.

Write the answers to the following questions based on your graph.
Q1: Whose index finger is the longest?
Ans:
Do it yourself.

Q2: The length of the longest index finger is _________ cm.
Ans:
Do it yourself.

Q3: The smallest index finger is _________
Ans:
Do it yourself.

Q4: It belongs to _________.
Ans:
Do it yourself.

Food Wastage in the School Canteen

Rani stays in a residential school. Her school’s dining hall displays the amount of food wasted and the number of children the food could have fed. Given below is the data collected over the weekdays for different food items.
Given below is the data collected over the weekdays for different food items.

Q: Rani was shocked to see the data. What do you think about food wastage? How can we reduce the wastage of food? What can we do with the leftover food?
Ans:
Food wastege is a serious problem because many people do not get enough to eat, while good food is being thrown away. So we should be careful to take only as much food as we can eat.
To reduce wastage, we can plan meals properly store food safely and reuse leftover food by making sandwiches and cutlets. Left over food which is still fresh can also be shared with those who are in need.

Observe the above graph and answer the following questions.
Q1: Which food item had the highest amount of wastage? _____________
Ans:
Khichdi had the highest amount of wastage i.e., of 8 kg.

Q2: Which food item had the least amount of wastage? _______________
Ans:
Idli-Sambhar had the least amount of wastage i.e., of 4 kg.

Q3: How much total food wastage was recorded in these days? _________
Ans:
Total food wastage recorded in Monday – Friday = 5 + 6 + 8 + 7 + 4 = 30 kg

Q4: If 1 kg of food waste can feed 3 children, how many children could have been fed with the total food wasted?
Ans:
1 kg of food waste can feed 3 children.
30 kg of food waste can feed 3 × 30
= 90 children.

Q5: ________ day had less food wastage than day.
Ans:
Monday had less food wastage than Tuesday.

Q6: If the same food items are to be repeated next week, can you predict which food item is likely to be wasted the most?
Ans:
Food which is likely to be wasted the most next week is Khichdi.

Page No. 187

True or False

Q: All girls are wearing glasses.
Ans:
Only some are wearing not all girls are wearing.

Q: 10 children are wearing caps on their heads.
Ans:
Exactly 10 children have caps on their head.

Q: More boys are holding books than girls.
Ans:
Equal number of boys and girls are holding the books.

Q: More than half of the children are wearing glasses.
Ans:
Less than half children are wearing glass.

Q: The number of children holding books is greater than the number of children wearing caps.
Ans:
More children are holding books than wearing caps.

Q: The number of boys wearing glasses is greater than the number of girls wearing glasses.
Ans:
More boys are wearing glasses than girls.