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Question 15 Marks
Find the variables from the clues given below and solve the cross-word puzzle.

Image
AcrossDown
x + 40 gives 100x is 1005 multiplied by 6
7 reduced from t gives 31t ÷ 7 = 5
z is 5 added 5 timesp is the predecessor of first 3 digit number
v is the whole number zero plus number of days in a ordinary yearz is the number of weeks in a year (digits reversed)
k is 24 added to 25k is 11 times 4
u is 2 added to two times 11 gives the number of hours in a dayu is product of 23 and 9
a is 20 more to 40a is 4 added to the product of 12 and 5
s minus 1 gives 246 is the number of letters in Tamil languagem is the successor of 9
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Question 25 Marks
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
Rectangle P Q R S T
Number of small size squares along the breadth 2 2 ? 2 2
Number of squares along the length 1 4 3 ? x
Total number of squares in rectangle ? 8 ? 10 ?
Answer
(i) P = 2, Q = 8, R = 6, S = 10
(ii)
Rectangle P Q R S T
Number of small size squares along the breadth 2 2 2 2 2
Number of squares along the length 1 4 3 5 x
Total number of squares in rectangle 2 8 6 10 2x
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Question 35 Marks
Gopal is $8$ years younger to Karnan. If the sum of their ages is $30,$ how old is Karnan?
Answer
Let the age of Karnan be $x$ yearsGopal's age $=x-8$Age to the problem, $x+x-8=30$
$2 x-8=30$
$2 x=30+8$
$2 x=38$
$x=\frac{38}{2}$
$x=19 $
Age of Karnan $=19$ years
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Question 45 Marks
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
Answer
We know that
Total matches played = Matches won + Matches lost
5 + k = 8
⇒ k = 3
7 + 2 = a
a = 9
7 = 6 + m
⇒ m = 1
b + 3 = 9
⇒ b = 6
4 + 6 = n
⇒ n = 10
6 + c = 10
⇒ c = 4
x + 4 = 8
⇒ x = 4
3 + 6 = y
⇒ y = 9
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Question 55 Marks
Identify the value of the shapes and figure in the table given below and verify their addition horizontally and vertically
Answer
8 7 7 8 = 30
8 8 10 10 = 36
8 10 7 7 = 32
8 7 10 7 = 32
= 32 = 32 = 34 = 32 = 130
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Question 65 Marks
Complete the following pattern.
9 – 1 =
98 – 21 =
987 – 321 =
9876 – 4321 =
98765 – 54321 =
What comes next?
Answer
9 – 1 = 898 – 21 = 77987 – 321 = 6669876 – 4321 = 555598765 – 54321 = 44444987654 – 654321 = 333333
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