Let’s have a look at some of the top 30 questions from chapter 1 of the NCERT book Patterns in Mathematics. Try solving the questions after you have completed the entire chapter. The MCQ and fill-in-the-blanks questions are designed for exams.
Class 6 Maths Chapter 1 MCQ Patterns In Mathematics
Question 1: What is mathematics largely about?
a) Solving equations
b) Search for patterns and explanations
c) Only calculating numbers
d) Memorizing formulas
Answer:
b) Search for patterns and explanations
Question 2: Which branch of mathematics studies patterns in whole numbers?
a) Algebra
b) Geometry
c) Number theory
d) Trigonometry
Answer:
c) Number theory
Question 3: Which of the following is an example of counting numbers sequence?
a) 2, 4, 6, 8, …
b) 1, 3, 5, 7, …
c) 1, 2, 3, 4, …
d) 1, 4, 9, 16, …
Answer:
c) 1, 2, 3, 4, …
Question 4: The sequence 1, 3, 5, 7, 9, … represents:
a) Even numbers
b) Odd numbers
c) Square numbers
d) Triangular numbers
Answer:
b) Odd numbers
Question 5: What are the numbers 1, 4, 9, 16, 25 … called?
a) Cubes
b) Squares
c) Triangular numbers
d) Powers of 2
Answer:
b) Squares
Question 6: The sequence 1, 2, 3, 5, 8, 13, … is known as:
a) Virahānka numbers
b) Triangular numbers
c) Cubes
d) Hexagonal numbers
Answer:
a) Virahānka numbers
Question 7: The sequence 1, 8, 27, 64, … is:
a) Squares
b) Cubes
c) Powers of 2
d) Counting numbers
Answer:
b) Cubes
Question 8: Why are numbers like 1, 3, 6, 10, … called triangular numbers?
a) They can form a cube
b) They can form a triangle arrangement of dots
c) They are divisible by 3
d) They are odd numbers
Answer:
b) They can form a triangle arrangement of dots
Question 9: Which number is both a triangular number and a square number?
a) 9
b) 16
c) 25
d) 36
Answer:
d) 36
Question 10: The sequence 1, 7, 19, 37 … represents:
a) Hexagonal numbers
b) Square numbers
c) Triangular numbers
d) Powers of 3
Answer:
a) Hexagonal numbers
Question 11: What do we get by adding consecutive odd numbers starting from 1?
a) Triangular numbers
b) Square numbers
c) Cubes
d) Powers of 2
Answer:
b) Square numbers
Question 12: 1 + 3 + 5 + 7 + 9 + 11 = ?
a) 25
b) 30
c) 36
d) 49
Answer:
c) 36
Question 13: What is the sum of the first 100 odd numbers?
a) 1000
b) 5000
c) 10000
d) 20000
Answer:
c) 10000
Question 14: Which sequence results from adding 1 + 2 + 3 + … + 100 + … + 3 + 2 + 1?
a) Square number
b) Cube number
c) Triangular number
d) Power of 2
Answer:
a) Square number
Question 15: Which branch of mathematics studies patterns in shapes?
a) Algebra
b) Geometry
c) Arithmetic
d) Number theory
Answer:
b) Geometry
Question 16: The sequence of 3, 4, 5, 6, … sides in shapes represents:
a) Complete graphs
b) Regular polygons
c) Stacked squares
d) Koch snowflake
Answer:
b) Regular polygons
Question 17: Which shapes are included in the regular polygon sequence?
a) Triangle, quadrilateral, pentagon, hexagon, …
b) Circle, oval, ellipse, …
c) Cube, cuboid, sphere, …
d) Cone, cylinder, pyramid, …
Answer:
a) Triangle, quadrilateral, pentagon, hexagon, …
Question 18: In complete graphs, the number of lines corresponds to which sequence?
a) Odd numbers
b) Triangular numbers
c) Powers of 2
d) Hexagonal numbers
Answer:
b) Triangular numbers
Question 19: The number of little squares in stacked squares gives which sequence?
a) Square numbers
b) Cube numbers
c) Counting numbers
d) Odd numbers
Answer:
a) Square numbers
Question 20: The Koch snowflake sequence corresponds to:
a) Powers of 2
b) 3 times powers of 4
c) Cube numbers
d) Triangular numbers
Answer:
b) 3 times powers of 4
Question 21: Which sequence results when you add pairs of consecutive triangular numbers?
a) Cube numbers
b) Square numbers
c) Odd numbers
d) Powers of 3
Answer:
b) Square numbers
Question 22: Which number sequence do we get from the number of sides in regular polygons?
a) Odd numbers
b) Counting numbers starting at 3
c) Powers of 2
d) Cubes
Answer:
b) Counting numbers starting at 3
Question 23: What happens when you multiply triangular numbers by 6 and add 1?
a) You get cube numbers
b) You get hexagonal numbers
c) You get odd numbers
d) You get square numbers
Answer:
b) You get hexagonal numbers
Question 24: Which sequence is obtained by starting with 1, then adding powers of 2 successively?
a) Triangular numbers
b) One less than powers of 2
c) Square numbers
d) Hexagonal numbers
Answer:
b) One less than powers of 2
Question 25: What is the sum 1 + 2 + 3 + … + 99 + 100 + 99 + … + 3 + 2 + 1 equal to?
a) 10000
b) 10201
c) 1000
d) 5000
Answer:
b) 10201
Question 26: Which shapes’ sides and corners both follow the same number sequence?
a) Stacked squares
b) Regular polygons
c) Complete graphs
d) Koch snowflake
Answer:
b) Regular polygons
Question 27: The sequence 1, 3, 9, 27, 81, … is:
a) Powers of 2
b) Powers of 3
c) Square numbers
d) Triangular numbers
Answer:
b) Powers of 3
Question 28: Which pattern explains why adding odd numbers gives square numbers?
a) Line diagram
b) Square grid of dots
c) Hexagonal arrangement
d) Circle arrangement
Answer:
b) Square grid of dots
Question 29: The relationship between shape sequences and number sequences is:
a) Independent
b) Always random
c) Often surprising and helpful
d) Only in 2D
Answer:
c) Often surprising and helpful
Question 30: Which of the following best summarises this chapter?
a) Maths is about memorising formulas
b) Maths is only about shapes
c) Maths is search for patterns in numbers and shapes
d) Maths is only for calculations
Answer:
c) Maths is search for patterns in numbers and shapes
Fill in the blanks on Patterns in Mathematics Class 6
1. Mathematics is, in large part, the search for ___ and their explanations.
Answer:
patterns
2. The branch of Mathematics that studies patterns in whole numbers is called ___.
Answer:
Number theory
3. The sequence 1, 2, 3, 4, 5, … is called the sequence of ___ numbers.
Answer:
counting
4. The numbers 1, 3, 5, 7, 9, … are known as ___ numbers.
Answer:
odd
5. The sequence 2, 4, 6, 8, 10, … is called the sequence of ___ numbers.
Answer:
even
6. Numbers like 1, 4, 9, 16, 25, … are called ___ numbers.
Answer:
square
7. Numbers like 1, 8, 27, 64, … are called ___ numbers.
Answer:
cube
8. The sequence 1, 2, 3, 5, 8, 13, … is called the ___ numbers.
Answer:
Virahānka
9. Numbers like 1, 3, 6, 10, 15, … are known as ___ numbers.
Answer:
triangular
10. The number 36 is special because it is both a ___ number and a ___ number.
Answer:
square, triangular
11. The sequence 1, 7, 19, 37, … represents ___ numbers.
Answer:
hexagonal
12. Adding consecutive odd numbers starting from 1 gives ___ numbers.
Answer:
square
13. The branch of mathematics that studies patterns in shapes is called ___.
Answer:
geometry
14. Regular polygons are named according to their number of ___.
Answer:
sides
15. The Koch Snowflake sequence corresponds to ___ times powers of 4.
Answer:
3
