6th Maths Guide Term 1 English Medium – Chapter 2 Numbers Ex 2.1 | Introduction To Algebra

1. Fill in the blanks.

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

Ans: variables

(ii) The algebraic statement of ‘f decreased by 5’ is ________

Ans: f – 5

(iii) The algebraic statement of ‘s divided by 5’ is ________

Ans: S/5

(iv) If A’s age is ‘n’ years now, 7 years ago A’s age was ________

Ans: n – 7

(v) If ‘p − 5’ gives 12 then ‘p’ is ______

Ans: 17

2. Say True or False.

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

Ans: False

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

Ans: True

(iii) 10 more to three times ‘c‘ is ’10c + 3′

Ans: False

(iv) If the cost of 10 rice bags is ₹ ‘t’, then the cost of 1 rice bag is ₹ ‘ t’/10

Ans: True

(v) The product of ‘q’ and 20 is ’20q‘.

Ans: True

3. Draw the next two patterns and complete the table.

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

Let Arivazhagan’s father’s age be X years.
According to the calculation, Arivazhagan’s age = (X – 30) years

5. If ‘u’ is an even number, how would you represent

(i) the next even number?

Ans: u + 2

(ii) the previous even number?

Ans: u – 2

6. Express the following verbal statement to algebraic statement.

(i) ‘t’ is added to 100.

Ans: t + 100

(ii) 4 times ‘q’

Ans: 4q

(v) 4 less to 9 times of ‘y’.

Ans: 9y – 4

7. Express the following algebraic statement to verbal statement.

(i) x ÷ 3

Ans: Divide x by 3.

(ii) 11 + 10x

Ans: Multiply 11 by 10 times x.

(iii) 70s

Ans: Multiplication of 70 and s

8. The teacher asked two students to write the algebraic statement for the verbal statement “8 more than a number”. Vetri wrote ‘8 + x’ but Maran wrote ‘8x’. Who gave the correct answer?

Ans: Vetri answer is correct.

9. Answer the following questions.

(ii) If ‘g’ is equal to 300 what is the value of ‘g − 1’ and ‘g + 1’ ?

g = 300
g – 1 = 300 – 1 = 299
g + 1 = 300 + 1 = 301

(ii) What is the value of ‘s’, if ‘2s − 6′ gives 30?

2s – 6 = 30
2s = 30 + 6
2s = 36
s = 36/2
s = 18

10. Complete the table and find the value of ‘k’ for which ‘k/3’ gives 5.

Objective Type Questions

11. Variable means that it

1. can take only a few values
2. has a fixed value
3. can take different values
4. can take only 8 values

Ans: can take different values

12. The number of days in ‘w’ weeks is

1. 30 + w
2. 30w
3. 7 + w
4. 7w

Ans: 7w

13. The value of ‘x’ in the circle is

1. 6
2. 8
3. 21
4. 22

Ans: 22

14. The value of ‘y’ in y + 7 = 13 is

1. y = 5
2. y = 6
3. y = 7
4. y = 8

Ans: y = 6

15. 6 less to ‘n’ gives 8 is represented as

1. n − 6 = 8
2. 6 − n = 8
3. 8 − n = 6
4. n − 8 = 6

Ans: n − 6 = 8