Chapter 9 of 13
Chapter 9: Data Handling
Counting Shapes in Pictures, Letter Counts in Names & Frequency | CBSE Session 2026–27
Core Pedagogical Competencies & Concepts
- Counting distinct geometric shapes (triangles, circles, squares, rectangles) in a composite picture.
- Identifying which shape occurs the most and which occurs the least.
- Counting letters in names of friends.
- Finding which letter repeats most frequently across names.
All Textbook Exercises & In-Text Tasks (16 Questions)
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Q1
Textbook Exercise • Counting Triangles in Joker
Look at the composite joker picture in the textbook. Count all the Triangles (▲).
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Count of triangles in the hat, face, and collar = 8 triangles.
• Count of triangles in the hat, face, and collar = 8 triangles.
CBSE Step-by-Step Marking Scheme
8 triangles counted
2 M
Q2
Textbook Exercise • Counting Circles in Joker
Count all the Circles (●) in the joker picture.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Count of circles (eyes, nose, buttons, and ball in hand) = 5 circles.
• Count of circles (eyes, nose, buttons, and ball in hand) = 5 circles.
CBSE Step-by-Step Marking Scheme
5 circles counted
2 M
Q3
Textbook Exercise • Counting Squares in Joker
Count all the Squares (■) in the joker picture.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Count of squares on the jacket and shoes = 4 squares.
• Count of squares on the jacket and shoes = 4 squares.
CBSE Step-by-Step Marking Scheme
4 squares counted
2 M
Q4
Textbook Exercise • Counting Rectangles in Joker
Count all the Rectangles (▭) in the joker picture.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Count of rectangles (arms, legs, torso body) = 6 rectangles.
• Count of rectangles (arms, legs, torso body) = 6 rectangles.
CBSE Step-by-Step Marking Scheme
6 rectangles counted
2 M
Q5
Textbook Exercise • Name the Shape that Occurs Most
From the joker shape counts (Triangles: 8, Circles: 5, Squares: 4, Rectangles: 6): Name the shape that occurs the most.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Triangle occurs the most (8 times).
• Triangle occurs the most (8 times).
CBSE Step-by-Step Marking Scheme
Triangle occurs most
2 M
Q6
Textbook Exercise • Name the Shape that Occurs Least
From the joker shape counts above: Name the shape that occurs the least.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Square occurs the least (4 times).
• Square occurs the least (4 times).
CBSE Step-by-Step Marking Scheme
Square occurs least
2 M
Q7
Textbook Exercise • Letters in Friends' Names
Count the number of letters in each name:
(a) SAROJ
(b) RADHA
(c) AARAV
(d) GEETA
[2 Marks]
(a) SAROJ
(b) RADHA
(c) AARAV
(d) GEETA
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• (a) SAROJ = 5 letters
• (b) RADHA = 5 letters
• (c) AARAV = 5 letters
• (d) GEETA = 5 letters
All four names have exactly 5 letters.
• (a) SAROJ = 5 letters
• (b) RADHA = 5 letters
• (c) AARAV = 5 letters
• (d) GEETA = 5 letters
All four names have exactly 5 letters.
CBSE Step-by-Step Marking Scheme
All counts correct (5 letters each)
2 M
Q8
Textbook Exercise • How Many Names Have 5 Letters?
Look at the list of friends: RAMESH, SANTOSH, RAJESH, MURLI, ROHAN. How many names have 6 letters?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• RAMESH = 6 letters
• SANTOSH = 7 letters
• RAJESH = 6 letters
• MURLI = 5 letters
• ROHAN = 5 letters
• Exactly 2 names (Ramesh, Rajesh) have 6 letters.
• RAMESH = 6 letters
• SANTOSH = 7 letters
• RAJESH = 6 letters
• MURLI = 5 letters
• ROHAN = 5 letters
• Exactly 2 names (Ramesh, Rajesh) have 6 letters.
CBSE Step-by-Step Marking Scheme
2 names have 6 letters
2 M
Q9
Textbook Exercise • Most Common Starting Letter
In the list: RAM, ROHIT, RADHA, RANI, AMIT. Which letter comes at the start of most names?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Letter 'R' starts 4 out of the 5 names (Ram, Rohit, Radha, Rani).
• 'R' is the most common starting letter.
• Letter 'R' starts 4 out of the 5 names (Ram, Rohit, Radha, Rani).
• 'R' is the most common starting letter.
CBSE Step-by-Step Marking Scheme
Letter 'R'
2 M
Q10
Textbook Exercise • Finding Letter Frequency
How many times does the letter 'A' appear in the word 'BANANA'?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• In B-A-N-A-N-A, the letter 'A' appears 3 times.
• In B-A-N-A-N-A, the letter 'A' appears 3 times.
CBSE Step-by-Step Marking Scheme
3 times
2 M
Q11
Let Us Do • Fruit Chart in Kitchen
Count fruits in the basket: 4 Apples, 7 Bananas, 2 Melons. Which fruit is greatest in number?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Bananas (7) are greatest in number.
• Bananas (7) are greatest in number.
CBSE Step-by-Step Marking Scheme
Bananas (7)
2 M
Q12
Textbook Exercise • Least Number of Fruits
From the fruit counts above (Apples: 4, Bananas: 7, Melons: 2), which fruit is the least?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Melons (2) are the least.
• Melons (2) are the least.
CBSE Step-by-Step Marking Scheme
Melons (2)
2 M
Q13
Textbook Exercise • Vehicle Tally on Road
Watching the road from the window: 5 Cars, 3 Buses, 8 Bicycles pass by. Which vehicle was seen the most?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Bicycles (8) were seen the most.
• Bicycles (8) were seen the most.
CBSE Step-by-Step Marking Scheme
Bicycles (8)
2 M
Q14
Activity • Vowels Count
How many vowels (A, E, I, O, U) are in the name 'INDIA'?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• I, I, A are vowels.
• There are 3 vowels in the name INDIA.
• I, I, A are vowels.
• There are 3 vowels in the name INDIA.
CBSE Step-by-Step Marking Scheme
3 vowels (I, I, A)
2 M
Q15
Textbook Exercise • Total Letters
Find the total letters in 'SUN' and 'MOON'.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• SUN = 3 letters
• MOON = 4 letters
• Total = 3 + 4 = 7 letters.
• SUN = 3 letters
• MOON = 4 letters
• Total = 3 + 4 = 7 letters.
CBSE Step-by-Step Marking Scheme
3 + 4 = 7 letters
2 M
Q16
Competency Review • Bar Line Comparison
Draw 4 tally marks for 4 pencils and 6 tally marks for 6 crayons. Which row is longer?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• The row of 6 crayons is longer because 6 > 4.
• The row of 6 crayons is longer because 6 > 4.
CBSE Step-by-Step Marking Scheme
Row of 6 crayons is longer
2 M
🌟 NEP 2020 Competency-Based Case Study
Joker's Geometric Costume Case Study
In the circus picture, the joker's funny costume is made entirely of shapes: 8 triangles for the hat and collar, 5 circles for buttons and eyes, 6 rectangles for arms and legs, and 4 squares for the body pockets.
Analytical Task: Which shape is used the most in the joker's costume? Which shape is used the least? How many shapes were used in all?
Evaluation & Model Answer:
1. Triangles (8) are used the most.
2. Squares (4) are used the least.
3. Total shapes = 8 + 5 + 6 + 4 = 23 shapes in all.
2. Squares (4) are used the least.
3. Total shapes = 8 + 5 + 6 + 4 = 23 shapes in all.
Rubric: 1 M for Triangles (most) + 1 M for Squares (least) + 1 M for total 23 shapes