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.
Count each speech bubble once and group equal times.
Check: 9+13+7+3+3=35.
| Daily TV time | Children |
|---|
| 1/2 hour | 9 |
|---|
| 1 hour | 13 |
|---|
| 1 1/2 hours | 7 |
|---|
| 2 hours | 3 |
|---|
| More than 2 hours | 3 |
|---|
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?
Exclude the 9 children in the half-hour group.
35−9=26.
Question TV 2
How many children watch TV for less than two hours?
Add the half-hour, 1-hour and 1 1/2-hour groups.
9+13+7=29.
Question TV 3
How many children watch TV for more than two hours?
Question TV 4
More children watch TV for 2 hours than for half an hour. True or false?
2 hours has 3 children; half an hour has 9.
3<9.
Question Screen-time reflection
Can watching TV for a long time be harmful to the eyes?
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?
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?
Question Shop 2
How many board games are shown by 10 icons?
Question Shop 3
How many play items are there altogether if sports has 12 icons?
Toys=40, board games=50, sports items=12×5=60.
40+50+60=150.
Question Shop other scale
Show the same shop data using 1 icon=10 items.
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.
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?
Friday has 12 icons, the greatest count.
Question Road 2
How many two-wheelers were recorded over all three days?
Question Road 3
How many fewer were seen on Wednesday than Monday?
Answer
12 fewer two-wheelers.
Question Road 4
How many more were seen on Friday than Wednesday?
Answer
24 more two-wheelers.
Question Road 5
Show the road data using 1 icon=6 two-wheelers.
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?
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.
Count Raman’s one-hour boxes and read Sheela’s bar heights.
| Activity | Raman | Sheela |
|---|
| Sleeping | 9 h | 8 h |
|---|
| School | 6 h | 7 h |
|---|
| Studying | 2 h | 4 h |
|---|
| Eating and playing | 6 h | 3 h |
|---|
| Other activities | 1 h | 2 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?
Raman sleeps 9 hours; Sheela sleeps 8.
Question Routine 2
Who spends more hours in school?
Sheela: 7 hours; Raman: 6 hours.
Question Routine 3
How many more hours does Sheela study?
Question Routine 4
Do they spend the same time on any activity?
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?
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.
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.
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?
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?
Answer
Khichdi on Wednesday, 8 kg.
Question Food 2
Which food had the least wastage?
The shortest bar is 4 kg.
Answer
Idli-sambar on Friday, 4 kg.
Question Food 3
What was the total food wastage?
Question Food 4
If 1 kg could feed 3 children, how many children could 30 kg feed?
Question Food 5
Complete one true statement: ___ day had less wastage than ___ day.
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?
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.
Several girls in the picture do not wear glasses.
Question Picture 2
Ten children are wearing caps.
Counting the caps gives 9.
Question Picture 3
More boys are holding books than girls.
The picture shows more book-holding girls than boys.
Question Picture 4
More than half of the children are wearing glasses.
Fewer than half of the 17 children wear glasses.
Question Picture 5
More children hold books than wear caps.
The book count is greater than the 9-cap count.
Question Picture 6
More boys wear glasses than girls.
More girls than boys wear glasses.
Question Picture 7
Some children wear both glasses and caps.
At least one child clearly has both.
Question Picture 8
No child has a cap, book and backpack together.
The top-left child has all three.