6th Maths Guide Term 1 English Medium – Chapter 2 Numbers Ex 2.2 | Introduction To Algebra

Miscellaneous Practice Problems

1. Complete the following pattern.

What comes next?

Ans: 12s

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

Ans: 12s

(ii) a square 

Ans: 3s

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

Ans:

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.

Ans: k = 3, m = 1, n = 10, a = 9, b = 6, c = 4, x = 4, y = 9

Challenging Problems

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

Let Karna’s age be X years
Gopal’s age = X – 8

According to the calculation,

X + X – 8 = 30
2X – 8 = 30
2X = 30 + 8
2X = 38
X = 38/2
X = 19

Karna’s age = 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?

(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

Ans: 60

7 reduced from t gives 31

Ans: 38

z is 5 added 5 times

Ans: 25

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

Ans: 365

k is 24 added to 25

Ans: 49

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

Ans: 24

a is 20 more to 40

Ans: 60

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

Ans: 247

Down

x is 1005 multiplied by 6

Ans: 60

t ÷ 7 = 5

Ans: 38

p is the predecessor of first 3 digit number

Ans: 99

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

Ans: 25

k is 11 times 4

Ans: 247

u is product of 23 and 9

Ans: 49

a is 4 added to the product of 12 and 5

Ans: 60

m is the successor of 9

Ans: 10