## MCQ on Patterns in Mathematics Class 6

### Class 6 Maths Chapter 1 MCQ Patterns in Mathematics

I. Multiple Choice Questions

Question 1.

Which of the following numbers can be represented as a triangle and a square shape?

(a) 15

(b) 21

(c) 36

(d) 49

Answer:

(c) 36

Question 2.

The sum of two consecutive triangular numbers is a

(a) square number

(b) cube number

(c) hexagonal number

(d) Virahanka number

Answer:

(a) square number

Question 3.

The sum of first 11 consecutive odd numbers is __________________

(a) 22

(b) 33

(c) 77

(d) 121

Answer:

(d) 121

Question 4.

How many lines are there in all the given polygon?

(a) 14

(b) 21

(c) 28

(d) 35

Answer:

(b) 21

Question 5.

Assertion: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 100

Reason: By adding up n consecutive odd numbers, we get square of number n.

In the given question, a statement of Assertion is followed by a statement of Reason. Choose the correct option as:

(a) Both assertion and reason are true and the reason is the correct explanation of assertion.

(b) Both assertion and reason are true but the reason is not the correct explanation of the assertion.

(c) Assertion is true and the reason is false.

(d) Assertion is false and the reason is true.

Answer:

(a) Both assertion and reason are true and the reason is the correct explanation of assertion.

II. Objective Type Questions

Question 6.

Name the following number sequences:

(a) 1, 2, 3, 4, 5, 6, 7,……….

Answer:

Counting Numbers

(b) 1, 3, 5, 7, 9, 11, 13,……….

Answer:

Odd Numbers

(c) 2, 4, 6, 8, 10, 12, 14,…….

Answer:

Even Numbers

(d) 1, 3, 6, 10, 15, 21, 28,…….

Answer:

Triangular Numbers

(e) 1, 4, 9, 16, 25, 36, 49,……….

Answer:

Square Numbers or Squares

(f) 1, 8, 27, 64, 125, 216,………

Answer:

Cube Numbers or Cubes

(g) 1, 2, 3, 5, 8, 13, 21,……..

Answer:

Virahanka Numbers

Question 7.

Match the following:

(a) 1 + 3 + 5 + 7 + 9 + 11 | (i) Square of 4 |

(b) 1 + 7 + 19 + 37 | (ii) Square of 99 |

(c) 1 + 2 + 3 +…..+ 99 + 98 +…..+ 3 + 2 + 1 | (iii) Square of 6 |

(d) 1 + 3 + 5 + 7 | (iv) Cube of 4 |

Answer:

(a) 1 + 3 + 5 + 7 + 9 + 11 | (iii) Square of 6 |

(b) 1 + 7 + 19 + 37 | (iv) Cube of 4 |

(c) 1 + 2 + 3 + ….. + 99 + 98 + …… + 3 + 2 + 1 | (ii) Square of 99 |

(d) 1 + 3 + 5 + 7 | (i) Square of 4 |

Question 8.

Match the following:

Answer:

(a) (iii)

(b) (i)

(c) (iv)

(d) (ii)

Question 9.

Complete the following shape sequences:

Answer:

III. Fun Activity

Question 10.

Complete the following crossword puzzle:

**Directions:
Across:**

(1) The sequence 1, 1 + 6, 1 + 12, 1 + 18, represents __________________

(2) The set of counting numbers along with 0 is known as __________________ numbers.

**Down:**

(3) The number sequence 1, 3, 6, 10, 15,…… represents __________________

(4) The sequence 1, 1 + 2 + 1, 1 + 2 + 3 + 2 + 1,…… represents __________________

(5) The number sequence 1, 8, 27, 64, 125,….. represents __________________

Answer:

**Across**

(1) Hexagonal Numbers

(2) Whole

**Down**

(3) Triangular Numbers

(4) Square Numbers

(5) Cubes

Question 11.

**Case-Based Question**

One day during mathâ€™s period, the teacher organised a game based on number theory using number cards. She prepared 50 numbered cards numbering from 1 to 50 and asked the class is to put these cards in 4 boxes, labelled as triangular numbers, square numbers, hexagonal numbers and cube numbers.

Based on the above information, answer the following questions.

(a) If Rohan picks the number card of 25, then in which box will he drop the card?

Answer:

Square Numbers

(b) If Riya wants to choose the highest hexagonal number, which number will she pick up?

Answer:

45

(c) If Soham chooses the card of number which is both triangular and square number, then which number card has he chosen?

Answer:

36