Chapter 10 of 13
Chapter 10: Patterns
Extending Sequences, T-Shapes, Arrow Patterns & Number Sequences | CBSE Session 2026–27
Core Pedagogical Competencies & Concepts
- Extending sequences of basic 2D shapes (circles, squares, triangles).
- Alternating letter and symbol patterns (T, ⊥, T, ⊥).
- Arrow direction patterns (Up, Down, Up, Down).
- Number patterns: counting in 1s, 2s, 5s, 10s.
- Patterns with dots, leaf prints, and growing geometric shapes.
All Textbook Exercises & In-Text Tasks (18 Questions)
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Q1
Textbook Exercise • Extending T Pattern
Complete the pattern: T, ⊥, T, ⊥, T, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• The pattern alternates between upright 'T' and upside-down '⊥'.
• Next two symbols: ⊥, T.
• The pattern alternates between upright 'T' and upside-down '⊥'.
• Next two symbols: ⊥, T.
CBSE Step-by-Step Marking Scheme
Filled ⊥, then T
2 M
Q2
Textbook Exercise • Circle and Cross Pattern
Complete the sequence: O, X, O, X, O, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• The pattern alternates O and X.
• Next symbols: X, O.
• The pattern alternates O and X.
• Next symbols: X, O.
CBSE Step-by-Step Marking Scheme
Filled X, then O
2 M
Q3
Textbook Exercise • Arrow Direction Pattern
Fill the next arrows: ↑, ↓, ↑, ↓, ↑, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Next arrows: ↓ (Down), ↑ (Up).
• Next arrows: ↓ (Down), ↑ (Up).
CBSE Step-by-Step Marking Scheme
Down then Up
2 M
Q4
Textbook Exercise • Double Up and Double Down
Complete the sequence: ↑↑, ↓↓, ↑↑, ↓↓, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Next symbols: ↑↑, ↓↓.
• Next symbols: ↑↑, ↓↓.
CBSE Step-by-Step Marking Scheme
Double up then double down
2 M
Q5
Textbook Exercise • Shape Sequence (Circle & Triangle)
Extend the pattern: ●, ▲, ●, ▲, ●, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Next shapes: ▲ (Triangle), ● (Circle).
• Next shapes: ▲ (Triangle), ● (Circle).
CBSE Step-by-Step Marking Scheme
Triangle then Circle
2 M
Q6
Textbook Exercise • Growing Dot Pattern
Look at the dots: (•), (••), (•••), (••••), _____. Draw the next group.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Rule: Add 1 dot each time.
• Next group: 5 dots (•••••).
• Rule: Add 1 dot each time.
• Next group: 5 dots (•••••).
CBSE Step-by-Step Marking Scheme
5 dots drawn
2 M
Q7
Textbook Exercise • Growing Line Pattern
Look at lines: 1 stick, 2 sticks, 3 sticks, 4 sticks. How many sticks come next?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Rule: Add 1 stick.
• Next is 5 sticks.
• Rule: Add 1 stick.
• Next is 5 sticks.
CBSE Step-by-Step Marking Scheme
5 sticks
2 M
Q8
Textbook Exercise • Number Pattern Counting in 2s
Complete the chain: 2, 4, 6, 8, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Adding 2 each time:
• 8 + 2 = 10
• 10 + 2 = 12
• Adding 2 each time:
• 8 + 2 = 10
• 10 + 2 = 12
CBSE Step-by-Step Marking Scheme
10 and 12
2 M
Q9
Textbook Exercise • Number Pattern Counting in 5s
Fill the missing numbers: 5, 10, 15, 20, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Adding 5 each time:
• 20 + 5 = 25
• 25 + 5 = 30
• Adding 5 each time:
• 20 + 5 = 25
• 25 + 5 = 30
CBSE Step-by-Step Marking Scheme
25 and 30
2 M
Q10
Textbook Exercise • Number Pattern Counting in 10s
Complete the sequence: 10, 20, 30, 40, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• 40 + 10 = 50
• 50 + 10 = 60
• 40 + 10 = 50
• 50 + 10 = 60
CBSE Step-by-Step Marking Scheme
50 and 60
2 M
Q11
Textbook Exercise • Odd Numbers Pattern
Fill the missing numbers: 1, 3, 5, 7, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Adding 2 to odd numbers:
• 7 + 2 = 9
• 9 + 2 = 11
• Adding 2 to odd numbers:
• 7 + 2 = 9
• 9 + 2 = 11
CBSE Step-by-Step Marking Scheme
9 and 11
2 M
Q12
Textbook Exercise • Backward Number Pattern
Complete the backward count: 20, 19, 18, 17, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Subtracting 1 each time:
• 17 - 1 = 16
• 16 - 1 = 15
• Subtracting 1 each time:
• 17 - 1 = 16
• 16 - 1 = 15
CBSE Step-by-Step Marking Scheme
16 and 15
2 M
Q13
Textbook Exercise • Backward in 10s
Fill the blank: 50, 40, 30, __, 10.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Subtracting 10 each time:
• 30 - 10 = 20.
• Subtracting 10 each time:
• 30 - 10 = 20.
CBSE Step-by-Step Marking Scheme
20
2 M
Q14
Textbook Exercise • Repeating Letters ABC
Complete the pattern: AB, CD, EF, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Letter pairs in alphabetical order:
• Next pairs: GH, IJ.
• Letter pairs in alphabetical order:
• Next pairs: GH, IJ.
CBSE Step-by-Step Marking Scheme
GH, IJ
2 M
Q15
Textbook Exercise • Day and Night Pattern
Morning, Afternoon, Evening, Night, Morning, __, __. What comes next?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Following the cycle of the day: Afternoon, Evening.
• Following the cycle of the day: Afternoon, Evening.
CBSE Step-by-Step Marking Scheme
Afternoon, Evening
2 M
Q16
Let Us Do • Alternating Leaf Prints
A leaf is stamped: pointing Left, then Right, then Left, then Right. What direction will the 5th print point?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• The 5th print will point Left.
• The 5th print will point Left.
CBSE Step-by-Step Marking Scheme
Left
2 M
Q17
Activity • Triangle and Square Alternating
Draw the next two shapes: ▲, ■, ▲, ■, ▲, __, __.
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• Next shapes: ■ (Square), ▲ (Triangle).
• Next shapes: ■ (Square), ▲ (Triangle).
CBSE Step-by-Step Marking Scheme
Square then Triangle
2 M
Q18
Competency Review • Find the Pattern Rule
Look at: 3, 6, 9, 12. What is the secret rule of this pattern?
[2 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
• The secret rule is: Add 3 each time (counting by 3s).
• The secret rule is: Add 3 each time (counting by 3s).
CBSE Step-by-Step Marking Scheme
Add 3 each time
2 M
🌟 NEP 2020 Competency-Based Case Study
Iron Grill Window Pattern Case Study
A blacksmith creates an ornamental window grill using alternating upright hearts and inverted hearts: ♡, ♢, ♡, ♢, ♡, ♢.
Analytical Task: What symbol comes next in the grill sequence? If the window frame has 10 upright hearts, how many total symbols are in the row?
Evaluation & Model Answer:
1. Following the alternation, the next symbol is an upright heart (♡).
2. Since upright and inverted hearts alternate equally, 10 upright + 10 inverted = 20 total symbols.
2. Since upright and inverted hearts alternate equally, 10 upright + 10 inverted = 20 total symbols.
Rubric: 1.5 M for upright heart + 1.5 M for 20 total symbols