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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 2 Introduction to Algebra Ex 2.1

Question 1.

Fill in the blanks.

(i) The letters a, b, c…,x, y, z are used to represent ……..

(ii) A quantity that takes …….. values is called a variable.

(iii) If there are 5 students in a bench, then the number of students in ‘n’ benches is 5 x n’ Here ……… is a variable.

Solution:

(i) Variables

(ii) Different

(iii) n

Question 2.

Say True or False:

(i) The length of part B in the pencil shown is ‘a – 6’.

(ii) If the cost of an apple is ‘x’ and the cost of a banana is ₹ 5, then the total cost of fruits is ₹ ‘x + 5′

(iii) If there are 11 players in a team, then there will be ’11 + q’ players in ‘q’ teams.

Solution:

(i) False

Length of B is 6 – a

(ii) True

(iii) False

There will be 11q players.

Question 3.

Draw the next two patterns and complete the table.

Solution:

Question 4.

Use a variable to write the rule, which gives the number of ice candy sticks required to make the following patterns.

(a) a pattern of letter C as

(b) the pattern of letter M as

Solution:

(a) A number of sticks used for 1 is 3.

If the number of formed is ‘n’ then

the number of ice candy sticks required = 3 × n = 3n.

(b) A number of sticks used for one’ is 4.

The number of ice candy sticks required = 4n.

Question 5.

The teacher forms a group of five students in a class. How many students will be there in ‘p’ groups?

Solution:

5p students will be there in groups.

Question 6.

Arivazhagan is 30 years younger than his father. Write Arivazhagan’s age in terms of his father’s age.

Solution:

Given that Arivazhagan is 30 years younger than his father.

Let Father’s is age be n.

Arivazhagan’s age is (n – 30) years.

Question 7.

If ‘u’ is an even number, how would you represent it?

(i) the next even number?

(ii) the previous even number?

Solution:

(i) Difference between two even numbers = 2

Given that ‘u’ is an even number.

Next, the even number is u + 2.

(ii) Previous even number is u – 2.

**Objective Type Questions**

Question 8.

Variable means that it

(a) can take only a few values

(b) has a fixed value

(c) can take different values

(d) can take only 8 values

Solution:

(c) can take different values

Question 9.

‘6y’ means.

(a) 6 + y

(b) 6 – y

(c) 6 × y

(d) \(\frac{6}{y}\)

Solution:

(c) 6 × y

Question 10.

Radha is ‘x’ years of age now 4 years ago, her age was

(a) x – 4

(b) 4 – x

(c) 4 + x

(d) 4x

Solution:

(a) x – 4

Question 11.

The number of days in ‘w’ weeks is

(a) 30 + w

(b) 30w

(c) 7 + w

(d) 7w

Solution:

(d) 7w

Question 12.

The value of ‘x’ in the circle is

(a) 6

(b) 8

(c) 21

(d) 22

Solution:

(d) 22

2 + 2 = 4, 4 + 3 = 7, 7 + 4 = 11, 11 + 5 = 16, 16 + 6 = 22