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

You can Download Samacheer Kalvi 6th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.

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 on a bench, then the number of students in ‘n’ benches is ‘5 × 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 cost of 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 to his father. Write Arivazhagan’s age in terms of his father’s age.
Solution:
Let Arivazhagan’s father’s age be x years
According to the problem,
Arivazhagan’s age = (x – 30) years

Question 7.
If ‘u’ is an even number, how would you represent?
(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, 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