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Textbook: Mathematics – Class 5 (Balbharati, official free PDF) · pages 79–82
Numbers are easier to understand when they are shown as pictures. Learn to choose a scale and a picture, then make and read a pictograph.
A pictograph (or pictogram) shows numbers using pictures or icons in a table.
We do not draw one picture for every item. We choose a scale like 1 picture = 5 children.
A good scale is a number that divides all the given numbers exactly — a common factor. Choose one that keeps the number of pictures small but clear.
Number of pictures = number ÷ scale. Number shown = pictures × scale.
Always write the scale below the pictograph, and choose a picture that suits the data.
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Library visitors: Monday 15, Tuesday 25, Wednesday 10, Thursday 30. Plan a pictograph.
Answer: Monday 3 books, Tuesday 5, Wednesday 2, Thursday 6 pictures.
| What | Formula | Symbols |
|---|---|---|
| Pictures to draw | number ÷ scale | 30 ÷ 5 = 6 pictures |
| Value shown | pictures × scale | 7 × 6 = 42 |
| Half picture | scale ÷ 2 | scale 10 → half = 5 |
| Choosing a scale | a common factor of all numbers | 15, 25, 10, 30 → 5 |
Solve each one in your notebook first. Then open the solution and compare every step.
1. Fruit sold in a day: mangoes 36, bananas 54, apples 18, guavas 27. Choose a scale and say how many pictures each fruit gets.
Answer: Scale 1 picture = 9 fruits: mangoes 4, bananas 6, apples 2, guavas 3 pictures.
2. Trees planted: neem 45, mango 30, banyan 15, peepal 60. Make a plan for a pictograph.
Answer: Scale 1 picture = 15 trees: neem 3, mango 2, banyan 1, peepal 4 pictures.
3. In a pictograph, 1 picture = 8 students. Class A has 6 pictures and Class B has 4½ pictures. How many students in each class?
Answer: Class A 48, Class B 36 students.
4. Vehicles in a village: bicycles 32, scooters 20, cars 12, tractors 16. Choose a scale that gives few pictures and find the pictures.
Answer: Scale 1 picture = 4: bicycles 8, scooters 5, cars 3, tractors 4 pictures.
Read the question, answer it in your head, then tap the card to check. 10 cards.
10 questions. Tap an option — you will see at once if it is right and why.
1. A good scale for 20, 35, 15 and 40 is…
Answer: A. 5 divides all four.
2. Scale: 1 picture = 8. A row has 5 pictures. Value?
Answer: B. 5 × 8.
3. Scale: 1 picture = 6. How many pictures for 42?
Answer: C. 42 ÷ 6.
4. Scale 1 picture = 10. 4½ pictures mean…
Answer: B. 40 + 5.
5. Where do we write the scale?
Answer: D. So readers can work out the numbers.
6. For 21, 14, 35, 7 the largest common scale is…
Answer: A. 7 divides all four.
7. Why is a scale of 1 bad for 60 and 80?
Answer: C. 140 pictures!
8. Rice 6 pictures, Wheat 4 pictures, scale 1 = 5 sacks. Rice is more by…
Answer: B. (6 − 4) × 5.
9. Another name for a pictograph is…
Answer: C. Both names are used.
10. Scale 1 picture = 4. Total of 3, 5 and 2 pictures?
Answer: C. 10 × 4.
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Done with the notes? Revise Problem Set 52 – Making and Reading Pictographs the fun way: match key terms, beat the 60-second lightning round and spot true or false facts. Every game uses only this lesson, so each round is real exam revision.
⭐ 0 XP⏱ About 25 minutes
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