NCERT Class 2 Mathematics • New NEP 2020 / NCF-FS

Chapter 6: Decoration for Festival

Q: Look at the pattern: 🔴, 🔷, 🔴, 🔷, 🔴, __, __.What comes in the next two blanks?

Answer:• The pattern alternates between red circle and blue diamond.• Next two shapes: 🔷 (Blue diamond) and 🔴 (Red circle).

Q: Observe the growing pattern:Step 1: 1 square (🟩)Step 2: 2 squares (🟩 🟩)Step 3: 3 squares (🟩 🟩 🟩)How many squares will be in Step 5? What is the

Answer:• Growing rule: Add 1 square at each step.• Step 4 = 4 squares.• Step 5 = 5 squares.

Q: Complete the growing number pattern: 3, 5, 7, 9, __, __, 15.

Answer:• Rule: Add 2 to each number (consecutive odd numbers).• 9 + 2 = 11• 11 + 2 = 13• The missing numbers are 11 and 13.

Q: Complete the skip sequence: 10, 15, 20, __, __, 35, __.

Answer:• Rule: Adding 5 each step.• Series: 10, 15, 20, 25, 30, 35, 40.

Q: Complete the countdown pattern: 80, 70, 60, __, __, 30, __.

Answer:• Rule: Subtracting 10 each step.• Series: 80, 70, 60, 50, 40, 30, 20.

Q: Complete the letter series: AA, BB, CC, __, __, FF.

Answer:• Rule: Doubling each English alphabet letter in alphabetical order.• Missing pairs are DD and EE.

Q: Find the next two terms: A1, B2, C3, D4, __, __.

Answer:• Rule: Next alphabet letter paired with next counting number.• Next two terms: E5 and F6.

Q: Complete the rotating arrow pattern: ⬆ (Up), ➡ (Right), ⬇ (Down), ⬅ (Left), ⬆ (Up), __, __.

Answer:• Rule: 90° clockwise rotation.• Next two arrows: ➡ (Right) and ⬇ (Down).

Q: In a 4-by-4 dot rangoli grid, if you draw a curved petal on the left side, what must you do on the right side to keep it symmetrical?

Answer:• To make it symmetrical, you must draw an identical curved petal mirrored on the right side at the exact same distance from the center line.

Q: Find the mistake in this pattern: 2, 4, 6, 9, 10, 12. Which number is wrong and what should it be?

Answer:• The pattern is counting by 2s (even numbers).• The number 9 is wrong.• It should be 8 (because 6 + 2 = 8).

Repeating & Growing Patterns, Rangoli Symmetry & Border Tessellations | CBSE Session 2026–27

Core Pedagogical Competencies & Concepts

Identifying repeating design units in torans, rangoli, and fabric borders.
Recognizing growing geometric and number patterns (e.g. 2, 4, 6...; 10, 20, 30...).
Completing symmetrical Rangoli dot grids and alternating tile arrangements.

All Textbook Exercises & In-Text Tasks (17 Questions)

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Q1 Repeating Shape Patterns

Look at the pattern: 🔴, 🔷, 🔴, 🔷, 🔴, __, __.
What comes in the next two blanks?

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• The pattern alternates between red circle and blue diamond.
• Next two shapes: 🔷 (Blue diamond) and 🔴 (Red circle).

CBSE Step-by-Step Marking Scheme

Pattern rule identified 1 M

Both shapes correct 1 M

Q2 Growing Shape Patterns

Observe the growing pattern:
Step 1: 1 square (🟩)
Step 2: 2 squares (🟩 🟩)
Step 3: 3 squares (🟩 🟩 🟩)
How many squares will be in Step 5? What is the growing rule?

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Growing rule: Add 1 square at each step.
• Step 4 = 4 squares.
• Step 5 = 5 squares.

CBSE Step-by-Step Marking Scheme

Growing rule stated (+1 each step) 1 M

Step 5 has 5 squares 1 M

Q3 Number Patterns • Adding 2

Complete the growing number pattern: 3, 5, 7, 9, __, __, 15.

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Rule: Add 2 to each number (consecutive odd numbers).
• 9 + 2 = 11
• 11 + 2 = 13
• The missing numbers are 11 and 13.

CBSE Step-by-Step Marking Scheme

Rule identified (+2) 1 M

11 and 13 correct 1 M

Q4 Number Patterns • Adding 5

Complete the skip sequence: 10, 15, 20, __, __, 35, __.

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Rule: Adding 5 each step.
• Series: 10, 15, 20, 25, 30, 35, 40.

CBSE Step-by-Step Marking Scheme

25, 30, and 40 filled correctly 2 M

Q5 Decreasing Number Patterns

Complete the countdown pattern: 80, 70, 60, __, __, 30, __.

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Rule: Subtracting 10 each step.
• Series: 80, 70, 60, 50, 40, 30, 20.

CBSE Step-by-Step Marking Scheme

Rule: minus 10 1 M

50, 40, 20 correct 1 M

Q6 Letter Patterns

Complete the letter series: AA, BB, CC, __, __, FF.

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Rule: Doubling each English alphabet letter in alphabetical order.
• Missing pairs are DD and EE.

CBSE Step-by-Step Marking Scheme

DD and EE correct 2 M

Q7 Letter and Number Patterns

Find the next two terms: A1, B2, C3, D4, __, __.

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Rule: Next alphabet letter paired with next counting number.
• Next two terms: E5 and F6.

CBSE Step-by-Step Marking Scheme

E5 and F6 correct 2 M

Q8 Arrow Direction Patterns

Complete the rotating arrow pattern: ⬆ (Up), ➡ (Right), ⬇ (Down), ⬅ (Left), ⬆ (Up), __, __.

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Rule: 90° clockwise rotation.
• Next two arrows: ➡ (Right) and ⬇ (Down).

CBSE Step-by-Step Marking Scheme

Clockwise turn rule 1 M

Right and Down arrows 1 M

Q9 Rangoli Dot Grid Symmetry

In a 4-by-4 dot rangoli grid, if you draw a curved petal on the left side, what must you do on the right side to keep it symmetrical?

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• To make it symmetrical, you must draw an identical curved petal mirrored on the right side at the exact same distance from the center line.

CBSE Step-by-Step Marking Scheme

Mirror image concept 1 M

Same distance from center line 1 M

Q10 Spot the Mistake

Find the mistake in this pattern: 2, 4, 6, 9, 10, 12. Which number is wrong and what should it be?

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• The pattern is counting by 2s (even numbers).
• The number 9 is wrong.
• It should be 8 (because 6 + 2 = 8).

CBSE Step-by-Step Marking Scheme

Identified 9 as wrong 1 M

Correct replacement: 8 1 M

Q11 Floor Tiling Tessellation

Why can square floor tiles cover a rectangular hall completely without leaving empty gaps, while round circular tiles cannot?

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Squares have straight edges and 90° corners that fit snugly side-by-side without any empty spaces.
• Circles have curved rims, so when placed together, they always leave gaps (holes) between them.

CBSE Step-by-Step Marking Scheme

Straight edges fit seamlessly 1 M

Curved rims leave gaps 1 M

Q12 Alternating Color Pattern

A strip of 10 diyas is painted in alternating colors: Gold, Silver, Gold, Silver...
(a) What color is the 7th diya?
(b) What color is the 10th diya?

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Odd positions (1st, 3rd, 5th, 7th, 9th) are Gold.
• Even positions (2nd, 4th, 6th, 8th, 10th) are Silver.
(a) The 7th diya is Gold.
(b) The 10th diya is Silver.

CBSE Step-by-Step Marking Scheme

7th is Gold 1 M

10th is Silver 1 M

Q13 Number Tower Pattern

Look at the pattern of adding consecutive numbers:
1 + 2 = 3
2 + 3 = 5
3 + 4 = 7
What is 4 + 5? What is 5 + 6? What pattern do the answers make?

[3 Marks]

✅ Step-by-Step Solution & Working

Answer:
• 4 + 5 = 9
• 5 + 6 = 11
• The answers (3, 5, 7, 9, 11) form a pattern of odd numbers growing by 2 each time.

CBSE Step-by-Step Marking Scheme

4+5=9 1 M

5+6=11 1 M

Pattern: Odd numbers increasing by 2 1 M

Q14 Saree Border Pattern

A border pattern has: 2 leaves pointing UP, then 2 leaves pointing DOWN, then 2 leaves pointing UP. What comes next?

[1 Marks]

✅ Step-by-Step Solution & Working

Answer:
Next comes 2 leaves pointing DOWN (following the repeating pair rule).

CBSE Step-by-Step Marking Scheme

2 leaves pointing Down 1 M

Q15 Let Us Think • Nature Patterns

Name two animals that have beautiful natural patterns on their bodies.

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
1. Zebra: Black and white alternating stripes.
2. Tiger: Orange body with dark black stripes.
*(Also: Leopard with circular rosettes, Peacock with eye-spot feathers)*.

CBSE Step-by-Step Marking Scheme

Two animals with pattern described 2 M

Q16 Pattern Riddle

I start at 1. Every step I double: 1, 2, 4, 8, __. What is my next number?

[1 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Double of 8 is 8 + 8 = 16.
• The next number is 16.

CBSE Step-by-Step Marking Scheme

16 correct 1 M

Q17 Creative Pattern Task

Create a repeating 3-element pattern using shapes (Circle, Triangle, Star). Write out 9 terms.

[2 Marks]

✅ Step-by-Step Solution & Working

Answer:
• Repeating unit: Circle (⭕), Triangle (🔺), Star (⭐).
• 9 terms: ⭕, 🔺, ⭐, ⭕, 🔺, ⭐, ⭕, 🔺, ⭐.

CBSE Step-by-Step Marking Scheme

Repeating unit of 3 elements 1 M

9 complete terms correctly written 1 M

🌟 NEP 2020 Competency-Based Case Study

Diwali Toran Stringing Task

Simran strings a door toran using yellow marigolds and green mango leaves. She follows the rule: 2 leaves followed by 1 marigold.

Analytical Task: If her toran has 6 marigolds in total, how many mango leaves did Simran use? How many items are on the toran altogether?

Evaluation & Model Answer:

1. For every 1 marigold, she uses 2 leaves.
2. For 6 marigolds: 6 × 2 = 12 mango leaves.
3. Total items on toran = 12 leaves + 6 marigolds = 18 items.

Rubric: 1.5 M for leaves calculation (12) + 1.5 M for total items (18)