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

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6th maths guide term 1 English medium chapter 1 Introduction To Algebra ex-2-1

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) 6th maths guide term 1 English medium chapter 1 Introduction To Algebra ex-2-1-1 a  The length of part B in the pencil shown is ‘a − 6’.

Ans: False

(ii) If the cost of an 6th maths guide term 1 English medium chapter 1 Introduction To Algebra ex-2-1-4 is ‘x’ and the cost of a 6th maths guide term 1 English medium chapter 1 Introduction To Algebra ex-2-1-3 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.

6th maths guide term 1 English medium chapter 1 Introduction To Algebra ex-2-1-2

Shapes 1st Pattern 2nd Pattern 3rd Pattern 4th Pattern 5th Pattern
Squares 1 2 3 4 5
Circles 1 2 3 4 5
Triangles 2 4 6 8 10

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.

k 3 6 9 12 15 18
k/3 1 2 3 4 5 6

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

6th maths guide term 1 English medium chapter 1 Introduction To Algebra ex-2-1-1

  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