6th Maths Term 1 Unit 2 Exercise 2.1 Solutions | Introduction to Algebra

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6th Maths : Term 1 Unit 2 : Introduction To Algebra

Text Book Back Exercises Questions with Answers, Solution | Exercise 2.1

1. Fill in the blanks.

(i) The letters a, b, c, … x, y, z are used to represent _________. Answer: Variables
(ii) A quantity that takes ___________ values is called a variable. Answer: Different
(iii) If there are 5 students in a bench, then the number of students in ‘n’ benches is ‘5 × n’. Here ___________ is a variable. Answer: ‘n’

2. Say True or False.

(i) The length of part B in the pencil shown is ‘a − 6’.
Pencil diagram
Answer: [False]
(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'. Answer: [True]
(iii) If there are 11 players in a team, then there will be '11 + q' players in 'q' teams. Answer: [False]

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

Pattern Table

Solution:

Completed Pattern

4. Use a variable to write the rule for ice candy sticks required.

(a) a pattern of letter C as
C pattern
Answer: 3n
(b) a pattern of letter M as
M pattern
Answer: 4n

Word Problems

5. The teacher forms groups of five students in a class. How many students will be there in ‘p’ groups? Answer: 5p
6. Arivazhagan is 30 years younger to his father. Write Arivazhagan's age in terms of his father's age. Answer: Arivazhagan’s age = n − 30 (where n is father's age)
7. If ‘u’ is an even number, how would you represent:

(i) the next even number? Answer: u + 2

(ii) the previous even number? Answer: u – 2

Objective Type Questions

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
Answer: (c)
9. ‘6y’ means
  • (a) 6 + y
  • (b) 6 – y
  • (c) 6 × y
  • (d) 6 / y
Answer: (c)
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
Answer: (a)
11. The number of days in ‘w’ weeks is
  • (a) 30 + w
  • (b) 30w
  • (c) 7 + w
  • (d) 7w
Answer: (d)
12. The value of ‘x’ in the circle is
Circle puzzle
  • (a) 6
  • (b) 8
  • (c) 21
  • (d) 22
Answer: (d) 22