ASSERTION-REASONING WORKSHEET
Chapter: Patterns in Mathematics FOR DOWNLOAD PDF CLICK HERE
Class: 6 | Based on NCERT Chapter 1 Concepts
✍🏽 Choose the correct option:
(A) Both Assertion and Reason are true, and Reason is the correct explanation.
(B) Both Assertion and Reason are true, but Reason is NOT the correct explanation.
(C) Assertion is true, but Reason is false.
(D) Assertion is false, but Reason is true.
Q1.Assertion (A): The sum of the first n odd numbers is always a perfect square.
Reason (R): The sum of the first n odd numbers equals n².
Option: ___
Q2.Assertion (A): The numbers 1, 4, 9, 16, 25... form an arithmetic sequence.
Reason (R): These numbers increase by the same difference each time.
Option: ___
Q3.Assertion (A): The pattern 1, 3, 6, 10, 15,... represents triangular numbers.
Reason (R): Each number in the pattern is the sum of the first n natural numbers.
Option: ___
Q4.Assertion (A): The number of dots in a triangle pattern (1 in 1st row, 2 in 2nd...) is a square number.
Reason (R): The sum of the first n natural numbers is n(n+1)/2.
Option: ___
Q5.Assertion (A): In a growing square pattern using odd numbers, each new layer adds an odd number of dots.
Reason (R): The area of a square increases by successive odd numbers.
Option: ___
Q6.Assertion (A): The pattern 2, 4, 8, 16, 32... is a geometric progression.
Reason (R): Each term is double the previous one.
Option: ___
Q7.Assertion (A): A palindromic number is a number that reads the same forward and backward.
Reason (R): All even numbers are palindromes.
Option: ___
Q8.Assertion (A): Squaring numbers like 11, 111, 1111 gives symmetric number patterns.
Reason (R): 111² = 12321, 1111² = 1234321.
Option: _
Q9.Assertion (A): The sum of any three consecutive odd numbers is divisible by 3.
Reason (R): Odd numbers follow the pattern 2n + 1.
Option: ___
Q10.Assertion (A): 1,4,9,16,25……….called square numbers.
Reason (R): When a multiplied number by itself is called a square number.
Option: ___
Q11.
Assertion (A): The pattern 1, 3, 5, 7, 9… continues by adding 2 each time.
Reason (R): These are consecutive odd numbers.
Option: ___
Q12.
Assertion (A): The sequence 1, 4, 9, 16, 25… represents triangular numbers.
Reason (R): These are squares of natural numbers.
Option: ___
Q13.
Assertion (A): Every square number can be represented by a dot pattern forming a square.
Reason (R): Dot arrangements help in visualizing patterns in numbers.
Option: ___
Q14.
Assertion (A): The pattern 1, 3, 6, 10, 15, 21… is formed by adding 1, 2, 3, 4... successively.
Reason (R): This pattern forms triangular numbers.
Option: ___
Q15.
Assertion (A): A growing pattern can be represented using variables like n in algebra.
Reason (R): Algebra helps describe patterns using a rule or formula.
Option: ___
Q16.
Assertion (A): The 5th term of the pattern 2, 4, 6, 8, ... is 12.
Reason (R): This is an arithmetic sequence with common difference 2.
Option: ___
Q17.
Assertion (A): In a pattern of squares with increasing number of dots, the total number of dots in the nth square is n².
Reason (R): Square numbers grow by adding consecutive odd numbers.
Option: ___
Q18.
Assertion (A): Patterns are useful only in mathematics and not in nature.
Reason (R): Nature does not follow any fixed mathematical rules.
Option: ___
Q19.
Assertion (A): Recursive patterns are those in which the next term depends on the previous one.
Reason (R): For example, in the Fibonacci sequence, each term is the sum of two previous terms.
Option: ___
Q20.
Assertion (A): The pattern 2, 4, 8, 16, 32… is an example of geometric progression.
Reason (R): Each term is obtained by multiplying the previous term by 2.
Option: ___
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