Saturday, July 12, 2025

ASSERTION-REASONING WORKSHEET CH-6 Perimeter and Area CLASS 6

  ASSERTION-REASONING WORKSHEET CH-6 Perimeter and Area CLASS 6

ASSERTION-REASONING WORKSHEET

Chapter: Perimeter and Area                FOR DOWNLOAD PDF CLICK HERE
Class: 6 | NCERT Maths Chapter 6

✍🏽 Choose the correct option:
(A) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
(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 perimeter of a square is 4 times the length of its side.
Reason (R): All sides of a square are equal.
Option: ___


Q2.

Assertion (A): The area of a rectangle is calculated by multiplying its length and breadth.
Reason (R): Area is the amount of space inside a closed figure.
Option: ___


Q3.

Assertion (A): Perimeter is measured in square units.
Reason (R): Perimeter is the length of the boundary.
Option: ___


Q4.

Assertion (A): A figure with the largest area will always have the largest perimeter.
Reason (R): Area and perimeter are always directly proportional.
Option: ___


Q5.

Assertion (A): The perimeter of a rectangle is 2 × (length + breadth).
Reason (R): A rectangle has opposite sides equal.
Option: ___


Q6.

Assertion (A): If all sides of a rectangle are equal, it becomes a square.
Reason (R): A square is a special type of rectangle.
Option: ___


Q7.

Assertion (A): A triangle has 3 sides and 3 vertices.
Reason (R): The perimeter of a triangle is the sum of the lengths of its sides.
Option: ___


Q8.

Assertion (A): The area of a square is side × side.
Reason (R): The side is the only measurement needed for calculating area in a square.
Option: ___


Q9.

Assertion (A): Area and perimeter of the same shape always increase together.
Reason (R): Bigger shapes always have both more area and more perimeter.
Option: ___


Q10.

Assertion (A): The unit of area is square centimetres or square metres.
Reason (R): Area represents surface coverage.
Option: ___


Q11.

Assertion (A): The perimeter of an equilateral triangle is 3 times one of its sides.
Reason (R): All sides in an equilateral triangle are equal.
Option: ___


Q12.

Assertion (A): A rectangle with length 5 cm and breadth 3 cm has area 15 cm².
Reason (R): Area of rectangle = length + breadth.
Option: ___


Q13.

Assertion (A): The boundary of a circle is called its perimeter.
Reason (R): The perimeter of a circle is also known as its circumference.
Option: ___


Q14.

Assertion (A): Irregular shapes can have perimeter but not area.
Reason (R): Area is defined only for regular shapes.
Option: ___


Q15.

Assertion (A): A square and a rectangle can have the same area but different perimeters.
Reason (R): The side lengths affect perimeter even when area is equal.
Option: ___


Q16.

Assertion (A): A rectangle of length 8 cm and breadth 2 cm has the same perimeter as a square of side 5 cm.
Reason (R): Perimeter of rectangle = 2 × (l + b), perimeter of square = 4 × side.
Option: ___


Q17.

Assertion (A): If the side of a square doubles, its area becomes four times.
Reason (R): Area of square is directly proportional to the square of its side.
Option: ___


Q18.

Assertion (A): To find the area of irregular figures, we can count square units inside them.
Reason (R): This method is known as approximation or unit square method.
Option: ___


Q19.

Assertion (A): All figures with the same perimeter have the same area.
Reason (R): Perimeter determines area directly.
Option: ___


Q20.

Assertion (A): When two shapes have equal area, their perimeters must also be equal.
Reason (R): Equal area always leads to equal perimeter.
Option: ___
ANSWER KEY CLICK HERE

WORKSHEET - CH-1 PATTERNS IN MATHS

WORKSHEET   - CH-1 PATTERNS IN MATHS                 

Subject: Maths                       
Class-VI            
Q1. a) Recognize the pattern in each of the sequences.  b) write the next three numbers in each sequence,
c)   what is the rule for forming the numbers in the sequence?
A) 1, 1, 1, 1, 1, 1, 1, ...       
B) 1, 2, 3, 4, 5, 6, 7, ..
C)1, 3, 5, 7, 9, 11, 13, ... D) 2, 4, 6, 8, 10, 12, 14, ..
E) 1, 3, 6, 10, 15, 21, 28, ... F) 1, 4, 9, 16, 25, 36, 49, ... 
G) 1, 8, 27, 64, 125, 216, ... H) 1, 2, 3, 5, 8, 13, 21, …
I) 1, 2, 4, 8, 16, 32, 64, .. J) 1, 3, 9, 27, 81, 243, 729, …
pattern ________________________ Next three terms ___, ____, ____ Rule __________________
Q2. Draw the next picture for each sequence.

   

         


Q3. ________________ dots can be arranged perfectly both in a triangle and in a square. 
Q4.  What would you call the following sequence of numbers?


Q5. Complete the pattern:  1 , 3 , 6 , 10 ,  …..  ,   ……
Q6. What is the next number in the pattern: 2, 4, 8, 16, __?
(a) 20      (b)18        (c) 32       (d) 64
Q7. Identify the pattern and write the next letter: A, C, E, G, J, ___
H       (b)   N           (c)  L              (d) O.
Q7 a) What comes next:  11 , 13, 15 , 17 , …. ,  ……
(a) 19, 21                              (b) 19 , 22   (c) 19, 20         (d) 20 , 23
Q8. Find the rule and next two terms: 5, 10, 20, 40, _ , _

Answer:

Q9. Observe the pattern and write next three numbers: 3, 6, 11, 18, 27, __

Answer:

Q10. Complete the pattern: ● △ , ● ● △ , ● ● ● △ , ● ● ● ● △_________________,  ______________________
Q11. What comes next?          △ ,    γƒ­,       , ……….

Answer:

Q12. Write the sum of the first 6 odd numbers.

Answer:


Q13. Write the next sequence

a)  1,   2  ,   4  , 8  ,   16   ,  32   ,  ______ ,_____ , ______
b)  1  ,  4  , 9 ,   16 , 25   ,   ___________, 49     ,__________  ,   ________


Q14. Draw the Next Shape and Count and write numbers of smaller triangles.

Answer:

Q15.  
a)   In fig.  K2-  1 line segment , K3 – 3 line segment , K4 - ____________ ,K-5 _____________ 
b) Write the name of the fig  K3 and  K5 .

Answer:

Q16. Draw pictorial ways to visualise the sequence of Powers of 2?

Answer:


Q17.  Draw pictorial ways to visualise the sequence of Powers of 3?

Answer:


Q18. what will be the value of 1 + 2 + 3 + ... + 99 + 100 + 99 + ... + 3 + 2 + 1?

Answer:





Q19.Which sequence do you get when you start to add the All 1’s sequence up?

Answer:
Q20. Which sequence do you get when you start to add the All 1’s sequence up? Answer:


Q21.Which sequence do you get when you start to add the Counting numbers up?
Q22. 1, 3, 6, 10, 15, … called___________

a) triangular numbers b) Square numbers c) Hexagonal numbers d) None of these 
Q23.1, 4, 9, 16, 25, … called ________

a) triangular numbers b) Square numbers c) Hexagonal numbers d) None of these 
Q24.  1, 8, 27, 64, 125, … called _________

a) triangular numbers b) Square numbers c) Hexagonal numbers d) Cube numbers
Q25. What is the next number in the sequence?


Q26.what is the sum of the first 10 odd numbers?

Answer:

Q27.what is the sum of the first 100 odd numbers?

Answer:

Q28. Draw the next shape in each sequence and write the rule or pattern for forming the shapes in the sequence
a)
b)
c) d)       e)
Q29. four sided polygon is called _____________
Q30. How many total line segments are there in each shape of the Koch Snowflake? What is the corresponding number sequence?

Answer:

Q31.How many little triangles are there in each shape of the sequence of Stacked Triangles?

Answer:

Q32.How many little squares are there in each shape of the sequence of Stacked Squares? Which number sequence does this give?

Answer:

Q33. Count the number of lines in each shape in the sequence of Complete Graphs. Which number sequence do you get?

Answer:

Q34. Ravi and Meena are helping their father design a walking path in their backyard garden. Their father gives them two different tile patterns to be arranged in rows.

Pattern A uses the same tile in every row.Pattern B uses a growing number of tiles in each new row. They recorded the number of tiles in each row for both patterns:
Pattern A: 1, 1, 1, 1, 1, 1, 1, ...
Pattern B: 1, 2, 3, 4, 5, 6, 7, … (Answer any 1 Pattern A or B)
a) Recognize the pattern in each of the sequences. 
b) write the next three numbers in each sequence,
c)   what is the rule for forming the numbers in the sequence?
d) Draw the next picture (diagram or dot representation) for each sequence. (2)
q35. Assertion (A) :1,4,9,16,25……….called square numbers.

Reason (R): When a multiplied number by itself is called a square number.
a) Both Assertion and reason are correct and reason is correct explanation for Assertion. 

b) Both Assertion and reason are correct but reason is not correct explanation for Assertion 

c) Assertion is true but reason is false. 

d) Both assertion and reason are false


ASSERTION-REASONING WORKSHEET CH-5 Prime Time CLASS 6

 ASSERTION-REASONING WORKSHEET CH-5 Prime Time CLASS 6

ASSERTION-REASONING WORKSHEET

Chapter: Prime Time                                        FOR DOWNLOAD PDF CLICK HERE
Class: 6 | NCERT Maths Chapter 5

✍🏽 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): A prime number has only two distinct factors.
Reason (R): 7 is divisible by 1 and 7 only.
Option: ___


Q2.

Assertion (A): A composite number has more than two factors.
Reason (R): 10 is a composite number because it has four factors.
Option: ___


Q3.

Assertion (A): 1 is neither prime nor composite.
Reason (R): 1 has only one factor.
Option: ___


Q4.

Assertion (A): 2 is the smallest prime number.
Reason (R): It is the only even prime number.
Option: ___


Q5.

Assertion (A): All prime numbers are odd.
Reason (R): 2 is a prime number.
Option: ___


Q6.

Assertion (A): The HCF of two co-prime numbers is always 1.
Reason (R): Co-prime numbers have no common factor except 1.
Option: ___


Q7.

Assertion (A): The LCM of 6 and 8 is 24.
Reason (R): 24 is the smallest number divisible by both 6 and 8.
Option: ___


Q8.

Assertion (A): Prime factorisation means expressing a number as a product of only prime numbers.
Reason (R): 30 = 2 × 3 × 5 is a prime factorisation.
Option: ___


Q9.

Assertion (A): The number 37 is a prime number.
Reason (R): 37 is divisible only by 1 and 37.
Option: ___


Q10.

Assertion (A): Two even numbers are always co-prime.
Reason (R): All even numbers are divisible by 2.
Option: ___


Q11.

Assertion (A): 5 and 9 are co-prime numbers.
Reason (R): They have no common factor other than 1.
Option: ___


Q12.

Assertion (A): HCF is always greater than LCM.
Reason (R): LCM is the smallest multiple and HCF is the greatest factor.
Option: ___


Q13.

Assertion (A): 13 × 17 = 221 is a product of two prime numbers.
Reason (R): Both 13 and 17 are prime.
Option: ___


Q14.

Assertion (A): Prime numbers are used in encryption and coding.
Reason (R): Prime numbers are difficult to factorise into other primes.
Option: ___


Q15.

Assertion (A): 15 is a prime number.
Reason (R): It has more than two factors.
Option: ___


Q16.

Assertion (A): If a number is divisible by 3 and 4, it is also divisible by 12.
Reason (R): 3 × 4 = 12, and divisibility is always transitive.
Option: ___


Q17.

Assertion (A): A number ending in 5 is divisible by 5.
Reason (R): Divisibility by 5 is based on the last digit being 0 or 5.
Option: ___


Q18.

Assertion (A): 49 is a composite number.
Reason (R): It has three factors: 1, 7, and 49.
Option: ___


Q19.

Assertion (A): All odd numbers are prime.
Reason (R): 9 and 15 are odd and prime.
Option: ___


Q20.

Assertion (A): The number 121 is not a prime number.
Reason (R): It is divisible by 11.
Option: ___

ANSWER KEY CLICK HERE

CH2 Lines and Angles WORKSHEET CLASS 6

Subject: Maths                        WORKSHEET   - CH-2 LINES AND ANGLES                  Class-VI             Q1. How many lines ...