6th Maths : Term 1 Unit 2 : Introduction To Algebra : Text Book Back Exercises Questions with Answers, Solution

__Exercise
2.3__

** **

**Miscellaneous Practice Problems**

**1.
Complete the following pattern.**

**9
– 1 =**

**98
– 21 =**

**987
– 32 =**

**9876
− 432 =**

**98765
− 54321 =**

**What comes next?**

9 – 1 = 8

98 − 21 =77

987 − 321 = 666

9876 − 4321 = 5555

98765 − 54321 = 44444

**987654 − 654321 = 3333333**

** **

**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) equilateral triangle = 3 equal sides**

A piece wire [circumference] = 12s

one side length = 12s / 3

= 4s

**(ii) Square = 4 equal sides**

Circumference = 12s

One side length = 12s / 4

= 3s

** **

**3.
Identify the value of the shapes and figures in the table given below and verify
their addition horizontally and vertically.**

** **

**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:**

k = 8 – 5 = 3

a = 7 + 2 = 9

x = 8 – 4 = 4

m = 7 – 6 = 1

b = 9 – 3 = 6

y = 6 + 3 = 9

n = 4 + 6 = 10

c = 10 – 6 = 4

** **

__Challenging
Problems__

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

**Solution:**

Age of Karnan = x

Age of Gopal = y

Gopal is 8 years younger to Karnan

i.e., y = x − 8

sum of their age = 30

x + y = 30

x + (x − 8) = 30

x + x − 8 = 30

2x − 8 = 30

2x = 30 + 8

2x = 38

x = 38 / 2 = 19

**Age of Karnan is ‘19’ years.**

** **

**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 small size squares are there in each
of the rectangles P, Q, R and S?**

P = 2, Q = 8, R = 6, S= 10

**(ii)
Fill in the boxes.**

** **

**7.
Find the variables from the clues given below and solve the cross−word puzzle.**

__Across__

*x ***+ 40 gives 100**

**7 reduced
from ***t*** gives 31**

*z ***is 5 added 5 times**

*v ***is the whole number zero plus number
of ****days in a year**

*k ***is 24 added to 25**

*u ***is 2 added to two times 11 gives the
****number
of hours in a day**

*a ***is 20 more to 40**

*s ***minus 1 gives 246 is the number of letters
****in
Tamil language**

__Down__

*x ***is 1005 multiplied by 6**

*t ***÷ 7 = 5**

*p ***is the predecessor of first 3 digit
number**

*z ***is the number of weeks in a year ****(digits reversed)**

*k ***is 11 times 4**

*u ***is product of 23 and 9**

*a ***is 4 added to the product of 12 and
5**

*m ***is the successor of 9**

** **

__Answers:__

__Exercise 2.3__

**1) 8; 77; 666; 5555; 44444; 333333**

**2) (i) 4s (ii) 3s **

**3) **

**4) k = 3; m = 1; n =
10; a = 9; b = 6; c = 4; **

**5) 19**

**6) (i) P=2; Q=8; R=6; S=10**

**7) **

Tags : Questions with Answers, Solution | Introduction to Algebra | Term 1 Chapter 2 | 6th Maths , 6th Maths : Term 1 Unit 2 : Introduction To Algebra

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6th Maths : Term 1 Unit 2 : Introduction To Algebra : Exercise 2.3 | Questions with Answers, Solution | Introduction to Algebra | Term 1 Chapter 2 | 6th Maths

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