✅ SOLUTIONS
Class 5
Chapter 15: Data Through Pictures
Math Mela · NCERT Solutions
Class 5Math Mela (NCERT)Chapter 15
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📺 Child TV Reporter
Tally the 35 friends' TV-watching data and answer the questions.
Solution
📎 35 children's speech bubbles showing hours spent watching TV
Carefully counting each speech bubble in the notebook picture gives this organised table:
| Hours watching TV | Number of children |
|---|---|
| ½ hour | 9 |
| 1 hour | 12 |
| 1½ hour | 7 |
| 2 hours | 4 |
| More than 2 hours | 3 |
Check: 9+12+7+4+3 = 35 ✓ (matches total friends surveyed)
| Q | Working | Answer |
|---|---|---|
| 1. More than half hour | 35 − 9 (the half-hour group) | 26 children |
| 2. Less than two hours | 9+12+7 (½hr, 1hr, 1½hr groups) | 28 children |
| 3. More than two hours | Direct from table | 3 children |
| 4. More watch 2hr than ½hr? | 2hr=4 vs ½hr=9 | False (MORE watch for just half an hour!) |
💡 Watching too much TV can strain the eyes and reduce time for outdoor play — balance is important!
🧸 Stock-Taking Pictograph
How many toys, board games, and total play items does Joseph Uncle have?
Solution
📎 Pictograph of toys, board games, and sports items (each icon = 5 items)
Counting icons: Toys = 7 icons, Board games = 8 icons, Sports items = 9 icons. Each icon = 5 items.
| Q | Working | Answer |
|---|---|---|
| (1) Toys | 7 × 5 | 35 toys |
| (2) Board games | 8 × 5 | 40 board games |
| (3) Total play items | 35 + 40 + (9×5=45 sports items) | 120 items |
💡 Other scale idea: You could use 1 icon = 10 items instead — this would need HALF as many icons (3.5 for toys is tricky though, so a scale of 5 works more cleanly here since all totals are multiples of 5).
🛵 Two-wheelers Pictograph
Answer questions from the two-wheelers pictograph (Mon/Wed/Fri, each icon=3).
Solution
📎 Two-wheelers pictograph for Monday, Wednesday, and Friday
Counting icons: Monday = 8 icons, Wednesday = 4 icons, Friday = 11 icons. Each icon = 3 two-wheelers.
| Day | Icons | Total |
|---|---|---|
| Monday | 8 | 24 |
| Wednesday | 4 | 12 |
| Friday | 11 | 33 |
| Q | Answer |
|---|---|
| 1. Most two-wheelers | Friday (33) |
| 2. Total over 3 days | 24+12+33 = 69 |
| 3. Wednesday fewer than Monday by | 24−12 = 12 fewer |
| 4. Friday more than Wednesday by | 33−12 = 21 more |
📖 Recording a Day — Raman & Sheela
Compare Raman's (pictograph) and Sheela's (bar graph) daily routines.
Solution
📎 Sheela's bar graph of daily activities
| Activity | Raman (circles) | Sheela (bar graph) |
|---|---|---|
| Sleeping | 8 hrs | 8 hrs |
| School | 6 hrs | 7 hrs |
| Studying | 2 hrs | 4 hrs |
| Eating & playing | 6 hrs | 3 hrs |
| Other | 1 hr | 2 hrs |
| Q | Answer |
|---|---|
| 1. More sleeping time? | Same for both! (8 hours each) |
| 2. More hours in school? | Sheela (7 vs 6) |
| 3. Sheela's extra studying time | 4−2 = 2 more hours |
| 4. Same time on an activity? | Yes — Sleeping (both 8 hrs) |
| 5. More balanced routine? | Sheela's — she has more study time (4 hrs) while still balancing school, sleep, and other activities without any one activity taking up too much of the day. |
🌟 Difference in recording style: Raman used a PICTOGRAPH (icons, one per hour), while Sheela used a BAR GRAPH (a single bar whose height shows the hours) — bar graphs are often quicker to compare at a glance!
👆 Whose Index Finger is Longer?
Compare index finger lengths using paper strips on a bar graph.
Solution — Method
This is a HANDS-ON personal activity — collect paper strips from your friends, paste them by height on the grid (like bars in a bar graph), then read off:
| Q | How to answer |
|---|---|
| 1. Longest index finger | Whoever's strip reaches the HIGHEST mark on the grid |
| 2. Length of longest (cm) | Read the height where that tallest strip ends |
| 3. Length of smallest (cm) | Read the height of the SHORTEST strip |
| 4. Whose is smallest? | The name attached to that shortest strip |
💡 This activity turns YOUR real measurements into a bar graph — each paper strip becomes a "bar"!
🍽️ Food Wastage Bar Graph
Answer questions from the food wastage graph (Mon-Fri).
Solution
📎 Food wastage bar graph — Sandwich, Paratha, Khichdi, Puri-Sabzi, Idli-Sambar
| Item (Day) | Wastage (kg) |
|---|---|
| Sandwich (Mon) | 5 |
| Paratha (Tue) | 6 |
| Khichdi (Wed) | 8 |
| Puri-Sabzi (Thu) | 7 |
| Idli-Sambar (Fri) | 4 |
| Q | Working | Answer |
|---|---|---|
| 1. Highest wastage | Compare all values | Khichdi (8 kg) |
| 2. Least wastage | Compare all values | Idli-Sambar (4 kg) |
| 3. Total wastage | 5+6+8+7+4 | 30 kg |
| 4. Children fed (1kg=3 children) | 30×3 | 90 children |
| 5. Day comparison | e.g., Friday(4) < Wednesday(8) | Friday had less wastage than Wednesday |
| 6. Predict next week's highest waste | Based on this week's pattern | Khichdi — likely to be wasted most again, since it was highest this time |
🌍 Reducing food waste: Serve smaller portions first (with refills available), plan quantities based on actual attendance, and consider composting or donating safe leftovers instead of throwing them away.
✅❌ True or False — Class Picture
Observe the picture of children (caps, glasses, books, backpacks) and mark each statement True/False.
Solution
📎 Group of 18 children — some wearing caps, glasses, holding books or backpacks
| Statement | Answer | Reasoning |
|---|---|---|
| All girls are wearing glasses | False | Several girls in the picture do NOT wear glasses |
| 10 children are wearing caps | True | Counting red caps gives exactly 10 |
| More boys are holding books than girls | False | Girls are holding slightly MORE books than boys |
| More than half of the children are wearing glasses | False | Only about 7 out of 18 wear glasses — less than half |
| Children holding books > children wearing caps | True | About 13 children hold books, more than the 10 wearing caps |
| Boys wearing glasses > girls wearing glasses | False | Girls wearing glasses are equal to or more than boys |
| Some children wear both glasses and caps | True | Several children clearly wear both at once |
| No child has all three items (cap, book, backpack) | False | At least one child (top-left, with pigtail) has cap + book + backpack together! |
💡 How to verify: For each statement, go through the picture SYSTEMATICALLY — count one attribute at a time (all caps, then all glasses, then all books) rather than trying to check everything at once. This avoids missing or double-counting!