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?          △ ,    ロ,     ⬠  , ……….

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.

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Q1.

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

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Q2.

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

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Q3.

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

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Q4.

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

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Q5.

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

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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: ___

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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: ___

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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: ___

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Q9.

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

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Q10.

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

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Q11.

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

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Q12.

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

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Q13.

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

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Q14.

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

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Q15.

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

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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: ___

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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: ___

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Q18.

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

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Q19.

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

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Q20.

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

ANSWER KEY CLICK HERE

ASSERTION-REASONING WORKSHEET CH-4 Data Handling and Presentation CLASS 6

 

ASSERTION-REASONING WORKSHEET

Chapter: Data Handling and Presentation            FOR DOWNLOAD PDF CLICK HERE
Class: 6 | NCERT Maths Chapter 4

✍🏽 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.

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Q1.

Assertion (A): A bar graph is a graphical representation of data using bars of equal width.
Reason (R): The height of the bar represents the frequency of the data.
Option: ___

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Q2.

Assertion (A): Pictographs are useful for representing large numerical data using pictures or symbols.
Reason (R): One symbol can represent multiple units of data.
Option: ___

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Q3.

Assertion (A): The tally mark "||||" represents the number 4.
Reason (R): A set of 5 is shown as "|||||".
Option: ___

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Q4.

Assertion (A): It is necessary to draw bars with equal width in a bar graph.
Reason (R): Unequal widths can mislead data interpretation.
Option: ___

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Q5.

Assertion (A): Data handling is useful only in Mathematics.
Reason (R): Other subjects do not require graphical data representation.
Option: ___

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Q6.

Assertion (A): In a bar graph, the bars can be drawn either vertically or horizontally.
Reason (R): The direction of the bar doesn't affect the data value.
Option: ___

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Q7.

Assertion (A): Tally marks help in quickly counting and organizing data.
Reason (R): Tally marks group data in sets of 5 for convenience.
Option: ___

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Q8.

Assertion (A): All bars in a bar graph must be drawn touching each other.
Reason (R): Gaps between bars create confusion.
Option: ___

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Q9.

Assertion (A): A bar graph is more precise than a pictograph.
Reason (R): Bar graphs allow accurate reading of exact values.
Option: ___

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Q10.

Assertion (A): Data is a collection of facts or information.
Reason (R): Information can be in the form of numbers, words, or measurements.
Option: ___

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Q11.

Assertion (A): In a pictograph, each symbol must represent the same number throughout the graph.
Reason (R): Changing the value of the symbol mid-graph makes it hard to interpret.
Option: ___

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Q12.

Assertion (A): A frequency table tells us how often each item appears in data.
Reason (R): It helps to identify the most or least frequent items.
Option: ___

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Q13.

Assertion (A): When using pictographs, symbols can represent decimal numbers.
Reason (R): Each symbol must only represent whole numbers.
Option: ___

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Q14.

Assertion (A): Data handling does not include drawing graphs.
Reason (R): Graphs are only part of drawing, not mathematics.
Option: ___

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Q15.

Assertion (A): The scale of a bar graph can affect how tall or short the bars look.
Reason (R): The vertical axis determines the frequency values.
Option: ___

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Q16.

Assertion (A): A title is not required in a bar graph.
Reason (R): The bars themselves show everything.
Option: ___

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Q17.

Assertion (A): Double bar graphs can be used to compare two sets of data.
Reason (R): They allow visual comparison between two categories.
Option: ___

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Q18.

Assertion (A): Before creating a graph, it is important to organize the data.
Reason (R): Organized data ensures better accuracy and easier representation.
Option: ___

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Q19.

Assertion (A): A bar graph can help detect trends or patterns in data.
Reason (R): Graphs allow easy visual interpretation.
Option: ___

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Q20.

Assertion (A): Data handling includes collecting, organizing, and interpreting data.
Reason (R): It helps in making decisions based on data.
Option: ___

ANSWER KEY CLICK HERE