CBSE Class 6 Maths Chapter 1: Patterns in Mathematics — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 1: Patterns in Mathematics from the NCERT Class 6 Mathematics textbook. Each question has four options - read both the Assertion (A) and Reason (R) carefully before selecting your answer.
How to attempt Assertion & Reason questions:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Assertion & Reason Questions
1
Assertion (A): The sequence 1, 3, 5, 7 consists of consecutive odd numbers.
Reason (R): Each term is obtained by adding 2 to the previous term.
Reason (R): Each term is obtained by adding 2 to the previous term.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The constant difference of 2 generates consecutive odd numbers.
2
Assertion (A): The sequence 1, 3, 5, 7 consists of consecutive odd numbers.
Reason (R): A square number can be represented by a square array.
Reason (R): A square number can be represented by a square array.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
3
Assertion (A): The sequence 1, 3, 5, 7 consists of consecutive odd numbers.
Reason (R): Each term is obtained by adding 3.
Reason (R): Each term is obtained by adding 3.
Answer: (c)
A is true, but R is false. The common difference is 2, not 3.
4
Assertion (A): The sequence consists only of even numbers.
Reason (R): Each term is obtained by adding 2 to the previous term.
Reason (R): Each term is obtained by adding 2 to the previous term.
Answer: (d)
A is false, but R is true. Odd numbers are not even.
5
Assertion (A): The nth triangular number counts dots in a triangular arrangement.
Reason (R): Adding the next row of dots produces the next triangular number.
Reason (R): Adding the next row of dots produces the next triangular number.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Successive rows explain the cumulative sequence.
6
Assertion (A): The nth triangular number counts dots in a triangular arrangement.
Reason (R): The sequence of odd numbers begins 1, 3, 5.
Reason (R): The sequence of odd numbers begins 1, 3, 5.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
7
Assertion (A): The nth triangular number counts dots in a triangular arrangement.
Reason (R): A triangular pattern gains the same fixed number of dots every time.
Reason (R): A triangular pattern gains the same fixed number of dots every time.
Answer: (c)
A is true, but R is false. The added row grows by one each step rather than staying fixed.
8
Assertion (A): Triangular numbers can never be shown with dots.
Reason (R): Adding the next row of dots produces the next triangular number.
Reason (R): Adding the next row of dots produces the next triangular number.
Answer: (d)
A is false, but R is true. Dot arrangements are a standard visual model.
9
Assertion (A): The sum of the first n odd numbers is n squared.
Reason (R): Adding successive L-shaped borders builds larger square arrays.
Reason (R): Adding successive L-shaped borders builds larger square arrays.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Each odd border changes an n-1 square into an n square.
10
Assertion (A): The sum of the first n odd numbers is n squared.
Reason (R): The first triangular number is 1.
Reason (R): The first triangular number is 1.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
11
Assertion (A): The sum of the first n odd numbers is n squared.
Reason (R): The sum of the first n odd numbers is always 2n.
Reason (R): The sum of the first n odd numbers is always 2n.
Answer: (c)
A is true, but R is false. The correct sum is n squared, not 2n in general.
12
Assertion (A): The first n odd numbers sum to n cubed.
Reason (R): Adding successive L-shaped borders builds larger square arrays.
Reason (R): Adding successive L-shaped borders builds larger square arrays.
Answer: (d)
A is false, but R is true. The square pattern contradicts the cube claim.
13
Assertion (A): In the Virahanka-Fibonacci pattern, each new term is the sum of the previous two.
Reason (R): Once two starting terms are fixed, the recurrence determines later terms.
Reason (R): Once two starting terms are fixed, the recurrence determines later terms.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The recurrence rule explains the sequence.
14
Assertion (A): In the Virahanka-Fibonacci pattern, each new term is the sum of the previous two.
Reason (R): Shape patterns can involve rotations.
Reason (R): Shape patterns can involve rotations.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
15
Assertion (A): In the Virahanka-Fibonacci pattern, each new term is the sum of the previous two.
Reason (R): Each new term is the product of the previous two.
Reason (R): Each new term is the product of the previous two.
Answer: (c)
A is true, but R is false. Addition, not multiplication, is used.
16
Assertion (A): Each new term is always one more than the preceding term.
Reason (R): Once two starting terms are fixed, the recurrence determines later terms.
Reason (R): Once two starting terms are fixed, the recurrence determines later terms.
Answer: (d)
A is false, but R is true. The increments are not constantly one.
17
Assertion (A): A pattern rule should predict terms beyond those already displayed.
Reason (R): A valid general rule applies consistently at every stated step.
Reason (R): A valid general rule applies consistently at every stated step.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Consistency gives the rule predictive value.
18
Assertion (A): A pattern rule should predict terms beyond those already displayed.
Reason (R): Mathematics studies both number and shape patterns.
Reason (R): Mathematics studies both number and shape patterns.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
19
Assertion (A): A pattern rule should predict terms beyond those already displayed.
Reason (R): Any rule matching only the first term is sufficient.
Reason (R): Any rule matching only the first term is sufficient.
Answer: (c)
A is true, but R is false. One matching term does not determine a pattern.
20
Assertion (A): A pattern can have no relationship among its terms.
Reason (R): A valid general rule applies consistently at every stated step.
Reason (R): A valid general rule applies consistently at every stated step.
Answer: (d)
A is false, but R is true. A mathematical pattern contains a regular relationship.
❓ Frequently Asked Questions
What is covered in CBSE Class 6 Maths Chapter 1 Patterns in Mathematics?
This chapter covers all key topics from Patterns in Mathematics as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 6 board exam preparation covering the complete syllabus.
Are these CBSE Class 6 Maths Assertion & Reason updated for 2026-27?
Yes, all content at eBookPublisher is updated as per the latest 2026-27 CBSE syllabus.
How many chapters are in CBSE Class 6 Maths?
All chapters of CBSE Class 6 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Patterns in Mathematics online for free?
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