The table given below shows the results of the matches played by 8 teams in a Kabaddi championship tournament. Teams A B C D E F G H Total Matches played 8 7 n a 9 10 8 y Matches won 5 6 4 7 b 6 x 3 Matches lost k m 6 2 3 c 4 6 Find the value of all the variables in the table given above.

Given table: Teams A B C D E F G H Total Matches played 8 7 n a 9 10 8 y Matches won 5 6 4 7 b 6 x 3 Matches lost k m 6 2 3 c 4 6 From the table, we observe that: Matches won + Matches lost = Total matches played A ⇒ 5 + k = 8 ⇒ k = 8 - 5 = 3 B ⇒ 6 + m = 7 ⇒ m = 7 - 6 = 1 C ⇒ 4 + 6 = n ⇒ 10 = n D ⇒ 7 + 2 = a ⇒ 9 = a E ⇒ b + 3 = 9 ⇒ b = 9 - 3 = 6 F ⇒ 6 + c = 10 ⇒ c = 10 - 6 = 4 G ⇒ x + 4 = 8 ⇒ x = 8 - 4 = 4 H ⇒ 3 + 6 = y ⇒ 9 = y Therefore, the values of k , m , n , a , b , c , x , y are 3 , 1 , 10 , 9 , 6 , 4 , 4 , 9 .

The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below. Fill in the boxes. Rectangle P Q R S T Number of small size squares along the breadth 2 2 ? 2 x Number of squares along the length 1 4 3 ? x Total number of squares in rectangle ? 8 ? 10 ?

Given rectangles are Given that width is kept constant and the length is varying, so let the length be x , such that number of squares can be determined by 2 x . We can observe that number of squares in P , Q , R , S & T along the width is same,i.e., 2 . Numbers of squares, In rectangle P are 2 along width and x = 1 along length, hence 2 × 1 = 2 squares. In rectangle Q are 2 along width and x = 4 along length, hence 2 × 4 = 8 squares. In rectangle R are 2 along width and x = 3 along length, hence 2 × 3 = 6 squares. In rectangle S are 2 along width and x = 5 along length, hence 2 × 5 = 10 squares. In rectangle T are 0 along width and x = 0 along length, hence 0 × 0 = 0 squares. Rectangle P Q R S T Number of small size squares along the breadth 2 2 2 2 0 Number of squares along the length 1 4 3 5 0 Total number of squares in rectangle 2 8 6 10 0

Find the variables from the clues given below and solve the crossword puzzle. Across Down x + 40 gives 100 x is 1005 multiplied by 6 7 reduced t gives 31 t ÷ 7 = 5 z is 5 added 5 times p is the predecessor of first 3 digit number v is the whole number zero plus number of days in a year z is the number of weeks in a year (digits reversed) k is 24 added to 25 k is 11 times 4 u is 2 added to two times 11 gives the number of hours in a day u is product of 23 and 9 a is 20 more to 40 a is 4 added to the product of 12 and 5 s minus 1 gives 246 is the number of letters in Tamil language m is the successor of 9

We fill the puzzle according the given instruction. Across: ⇒ x + 40 = 100 ⇒ x = 100 - 40 = 60 ⇒ t - 7 = 31 ⇒ t = 31 + 7 = 38 ⇒ z = 5 × 5 = 25 ⇒ v = 0 + 365 = 365 ⇒ k = 24 + 25 = 49 ⇒ u = 2 + 2 × 11 = 2 + 22 = 24 ⇒ a = 20 + 40 = 60 ⇒ s - 1 = 246 ⇒ s = 246 + 1 = 247 Down: ⇒ x = 1005 × 6 = 6030 ⇒ t 7 = 5 ⇒ t = 5 × 7 = 35 ⇒ No. of weeks in a year is 52 , reversed means 25 ⇒ k = 11 × 4 = 44 ⇒ u = 23 × 9 = 207 ⇒ a = 4 + 12 × 5 = 4 + 60 = 64 ⇒ m = 10 (Successor of 9 is 10 )

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A piece of wire is $‘ 12 s ’ cm$ long. What will be the length of the side in $(cm)$ , if it is formed as an equilateral triangle.

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Important Questions on Introduction To Algebra

MEDIUM

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 2 - Introduction To Algebra>Exercise>Q 2

A piece of wire is $‘ 12 s ’ cm$ long. What will be the length of the side in $(cm)$ , if it is formed as a square?

HARD

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 2 - Introduction To Algebra>Exercise>Q 3

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

				$= 30$
				$= 36$
				$=$
				$=$
$= 32$	$=$	$=$	$=$	$=$

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6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 2 - Introduction To Algebra>Exercise>Q 4

The table given below shows the results of the matches played by $8$ teams in a Kabaddi championship tournament.

$\begin{array}{lcccccccc} Teams & A & B & C & D & E & F & G & H \\ Total Matches played & 8 & 7 & n & a & 9 & 10 & 8 & y \\ Matches won & 5 & 6 & 4 & 7 & b & 6 & x & 3 \\ Matches lost & k & m & 6 & 2 & 3 & c & 4 & 6 \end{array}$

Find the value of all the variables in the table given above.

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6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 2 - Introduction To Algebra>Exercise>Q 5

Gopal is

8

years younger to Karnan. If the sum of their ages is

30

, how old is Karnan?

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6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 2 - Introduction To Algebra>Exercise>Q 6

The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below.

Question Image

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

HARD

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 2 - Introduction To Algebra>Exercise>Q 6

The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below.

Question Image

Fill in the boxes.

Rectangle	$P$	$Q$	$R$	$S$	$T$
Number of small size squares along the breadth	$2$	$2$	?	$2$	$x$
Number of squares along the length	$1$	$4$	$3$	?	$x$
Total number of squares in rectangle	?	$8$	?	$10$	?

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6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 2 - Introduction To Algebra>Exercise>Q 7

Find the variables from the clues given below and solve the crossword puzzle.

Question Image

Across	Down
$x + 40$ gives $100$	$x$ is $1005$ multiplied by $6$
$7$ reduced $t$ gives $31$	$t \div 7 = 5$
$z$ is $5$ added $5$ times	$p$ is the predecessor of first $3$ digit number
$v$ is the whole number zero plus number of days in a year	$z$ is the number of weeks in a year (digits reversed)
$k$ is $24$ added to $25$	$k$ is $11$ times $4$
$u$ is $2$ added to two times $11$ gives the number of hours in a day	$u$ is product of $23$ and $9$
$a$ is $20$ more to $40$	$a$ is $4$ added to the product of $12$ and $5$
$s$ minus $1$ gives $246$ is the number of letters in Tamil language	$m$ is the successor of $9$

MEDIUM

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 2 - Introduction To Algebra>Solved Example>Q 1

Suppose that there are some eggs in a tray. If $6$ eggs are taken out from it and still $10$ eggs are remaining, how many eggs are there in the tray?

A piece of wire is ‘12s’ cm long. What will be the length of the side in cm, if it is formed as an equilateral triangle.

Important Questions on Introduction To Algebra

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A piece of wire is $‘ 12 s ’ cm$ long. What will be the length of the side in $(cm)$ , if it is formed as an equilateral triangle.