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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 2 Introduction to Algebra Ex 2.3

Miscellaneous Practice Problems

Question 1.

Complete the following pattern.

9 – 1 =

98 – 21 =

987 – 321 =

9876 – 4321 =

98765 – 54321 =

What comes next?

Solution:

9 – 1 = 8

98 – 21 = 77

987 – 321 = 666

9876 – 4321 = 5555

98765 – 54321 = 44444

987654 – 654321 = 333333

Question 2.

A piece of wire is ’12s’ cm long. What will be the length of the side, if it is formed as

(i) an equilateral triangle

(ii) a square?

Solution:

(i) 4s

(ii) 3s

Question 3.

Identify the value of the shapes and figures in the table given below the verify their addition horizontally and vertically.

Solution:

Question 4.

The table given below shows the results of the matches played by 8 teams in a Kabaddi championship tournament.

Find the value of all the variables in the table given above.

Solution:

We know that

Total matches played = Matches wont + Matches lost.

5 + k = 8

⇒ k = 3

7 + 2 = a

a = 9

7 = 6 + m

⇒ m = 1

b + 3 = 9

⇒ b = 6

4 + 6 = n

⇒ n = 10

6 + c = 10

⇒ c = 4

x + 4 = 8

⇒ x = 4

3 + 6 = y

⇒ y = 10

Challenging Problem (Text book Page No. 53)

Question 5.

Gopal is 8 years younger than Karnan. If the sum of their ages is 30, how old is Karnan?

Solution:

Let Kaman’s age be x years

Gopal age is x – 8 years

Given the sum of their ages is 30. i.e, x + (x – 8) = 30

Now we will form the table to find their sums = 30.

For x = 19 (Karnan’s age)

the sum = 30

Kaman’s age = 19 years.

Question 6.

The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below.

(i) How many smallest squares are there in each of the rectangles P, Q, R and S?

(ii) Fill in the boxes.

Solution:

(i) No. of smallest squares in P, Q, R and S are 2, 8, 6 and 10 respectively.

(ii)

Question 7.

Find the variables from the clues given below and solve the crossword puzzle.

Solution: