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CLASS 5 · MATHS MELA · CHAPTER 15

Data Through Pictures

Collect and tabulate data, read scaled pictographs and bar graphs, compare values and support conclusions with visible evidence.

41 worked answersAll 4 exercise setsAll 8 end-of-chapter questions

What you will learn

  • Organise observations in a frequency table.
  • Interpret pictographs using their scale.
  • Read and create bar graphs and make evidence-based comparisons.

41 worked answers · short steps first, explanations when you need them

Collecting and Tabulating TV Data

Textbook pages 179–180

Question TV table

Complete the table for the 35 children’s TV-watching times.

Steps only

Count each speech bubble once and group equal times.

Check: 9+13+7+3+3=35.

Daily TV timeChildren
1/2 hour9
1 hour13
1 1/2 hours7
2 hours3
More than 2 hours3

Answer

1/2 hour: 9; 1 hour: 13; 1 1/2 hours: 7; 2 hours: 3; more than 2 hours: 3.

Question TV 1

How many children watch TV for more than half an hour?

Steps only

Exclude the 9 children in the half-hour group.

35−9=26.

Answer

26 children.

Question TV 2

How many children watch TV for less than two hours?

Steps only

Add the half-hour, 1-hour and 1 1/2-hour groups.

9+13+7=29.

Answer

29 children.

Question TV 3

How many children watch TV for more than two hours?

Steps only

Read the last frequency.

Answer

3 children.

Question TV 4

More children watch TV for 2 hours than for half an hour. True or false?

Steps only

2 hours has 3 children; half an hour has 9.

3<9.

Answer

False.

Question Screen-time reflection

Can watching TV for a long time be harmful to the eyes?

Steps only

Long unbroken screen use can cause eye strain.

Take breaks, blink often and follow adult or health guidance.

Answer

Yes, long sessions can strain the eyes; regular breaks and sensible limits help.

Scaled Pictographs

Textbook pages 180–182

Question Shop suggestion

How can many shop items be shown with fewer pictures?

Steps only

Choose a key such as 1 icon=5 items.

Answer

Use a scaled pictograph and clearly write the value of one icon.

Question Shop 1

How many toys are shown by 8 icons when each icon means 5?

Steps only

8×5=40.

Answer

40 toys.

Question Shop 2

How many board games are shown by 10 icons?

Steps only

10×5=50.

Answer

50 board games.

Question Shop 3

How many play items are there altogether if sports has 12 icons?

Steps only

Toys=40, board games=50, sports items=12×5=60.

40+50+60=150.

Answer

150 play items.

Question Shop other scale

Show the same shop data using 1 icon=10 items.

Steps only

40÷10=4; 50÷10=5; 60÷10=6.

Answer

Use 4 toy icons, 5 board-game icons and 6 sports-item icons.

Question Road data

Convert the road pictograph to numbers.

Steps only

Each scooter icon represents 3 two-wheelers.

Monday: 8×3; Wednesday: 4×3; Friday: 12×3.

Answer

Monday 24, Wednesday 12, Friday 36.

Question Road 1

Which day had the most two-wheelers?

Steps only

Friday has 12 icons, the greatest count.

Answer

Friday.

Question Road 2

How many two-wheelers were recorded over all three days?

Steps only

24+12+36=72.

Answer

72 two-wheelers.

Question Road 3

How many fewer were seen on Wednesday than Monday?

Steps only

24−12=12.

Answer

12 fewer two-wheelers.

Question Road 4

How many more were seen on Friday than Wednesday?

Steps only

36−12=24.

Answer

24 more two-wheelers.

Question Road 5

Show the road data using 1 icon=6 two-wheelers.

Steps only

24÷6=4; 12÷6=2; 36÷6=6.

Answer

Monday 4 icons, Wednesday 2 icons, Friday 6 icons.

Daily Routine Bar Graphs

Textbook pages 182–185

Question Representations

How is Sheela’s recording different from Raman’s?

Steps only

Raman uses repeated one-hour symbols in a table.

Sheela uses the height of vertical bars.

Answer

Raman uses a pictograph-like table; Sheela uses a bar graph.

Question Routine values

Read both children’s daily routines.

Steps only

Count Raman’s one-hour boxes and read Sheela’s bar heights.

ActivityRamanSheela
Sleeping9 h8 h
School6 h7 h
Studying2 h4 h
Eating and playing6 h3 h
Other activities1 h2 h

Answer

Raman: 9, 6, 2, 6, 1 hours. Sheela: 8, 7, 4, 3, 2 hours for sleeping, school, studying, eating/playing and other activities.

Question Routine 1

Who spends more time sleeping?

Steps only

Raman sleeps 9 hours; Sheela sleeps 8.

Answer

Raman, by 1 hour.

Question Routine 2

Who spends more hours in school?

Steps only

Sheela: 7 hours; Raman: 6 hours.

Answer

Sheela, by 1 hour.

Question Routine 3

How many more hours does Sheela study?

Steps only

4−2=2.

Answer

2 hours more.

Question Routine 4

Do they spend the same time on any activity?

Steps only

Compare each pair: 9/8, 6/7, 2/4, 6/3, 1/2.

Answer

No; none of the five activity times are equal.

Question Routine 5

Whose routine seems more balanced?

Steps only

This is a judgement question, so give a reason.

Sheela has 8 hours of sleep and spreads the remaining time more evenly.

Answer

A reasonable answer is Sheela’s, because she has 8 hours of sleep and a less uneven spread; other answers need a clear reason.

Question My day

Record your own 24-hour routine and draw a bar graph.

Steps only

List all activities and their times.

Check that the total is 24 hours, choose a scale, label both axes and draw one bar per activity.

Answer

Activity answer; the values depend on the student and must total 24 hours.

Question Finger graph

Make a strip graph of classmates’ index-finger lengths and answer the four comparison questions.

Steps only

Measure each strip in centimetres from the same baseline.

The tallest strip gives the longest finger and the shortest gives the smallest.

Answer

Activity answer; names and lengths depend on the measured group.

Food Wastage and Picture Observations

Textbook pages 185–187

Question Food reflection

How can food wastage be reduced and leftovers handled?

Steps only

Serve smaller first portions and take more only if needed.

Store safe untouched food properly or share it through an approved system; compost unsuitable scraps.

Answer

Plan portions, avoid taking excess, safely reuse or donate suitable food, and compost unavoidable scraps.

Question Food 1

Which food had the highest wastage?

Steps only

The tallest bar is 8 kg.

Answer

Khichdi on Wednesday, 8 kg.

Question Food 2

Which food had the least wastage?

Steps only

The shortest bar is 4 kg.

Answer

Idli-sambar on Friday, 4 kg.

Question Food 3

What was the total food wastage?

Steps only

5+6+8+7+4=30.

Answer

30 kg.

Question Food 4

If 1 kg could feed 3 children, how many children could 30 kg feed?

Steps only

30×3=90.

Answer

90 children.

Question Food 5

Complete one true statement: ___ day had less wastage than ___ day.

Steps only

Friday is 4 kg and Monday is 5 kg.

Answer

Friday had less food wastage than Monday. Other graph-supported comparisons also work.

Question Food 6

Which item is most likely to be wasted most next week?

Steps only

Khichdi has the highest current value, 8 kg.

Answer

Khichdi, if next week follows the same pattern.

Question Picture 1

All girls are wearing glasses.

Steps only

Several girls in the picture do not wear glasses.

Answer

False.

Question Picture 2

Ten children are wearing caps.

Steps only

Counting the caps gives 9.

Answer

False.

Question Picture 3

More boys are holding books than girls.

Steps only

The picture shows more book-holding girls than boys.

Answer

False.

Question Picture 4

More than half of the children are wearing glasses.

Steps only

Fewer than half of the 17 children wear glasses.

Answer

False.

Question Picture 5

More children hold books than wear caps.

Steps only

The book count is greater than the 9-cap count.

Answer

True.

Question Picture 6

More boys wear glasses than girls.

Steps only

More girls than boys wear glasses.

Answer

False.

Question Picture 7

Some children wear both glasses and caps.

Steps only

At least one child clearly has both.

Answer

True.

Question Picture 8

No child has a cap, book and backpack together.

Steps only

The top-left child has all three.

Answer

False.

Questions follow NCERT’s Maths Mela, Chapter 15 ↗, checked on 2026-10-05. Use our original question summaries and worked answers alongside the questions in your textbook.

Diagrams are drawn from mathematical rules. Learnivelle is not affiliated with NCERT.

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