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