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Published on: 01/10/2019
Term 1 Introduction To Algebra
Download Tamil Nadu 6th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
Identify the value of the shapes and figures in the table given below the verify their addition horizontally and vertically
2.
A piece of wire is '12 s' cm long. What will be length of the side if it is formed as
(i) an equilateral triangle.
(ii) a square?
3.
Express the following algebraic statement to verbal statement.
70s
4.
Express the following algebraic statement to verbal statement.
11 + 10x
5.
Express the following algebraic statement to verbal statement.
5n − 12
6.
Find the variables from the clues given below and solve the cross-word puzzle.


7.
The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below.

(i) How many smallest squares are there in each of the rectangles P, Q, Rand S?
(ii) Fill in the boxes
| Rectangles | 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 | ? |
8.
Gopal is 8 years younger to Karan. If the sum of their ages is 30, how old is Karnan?
9.
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.
10.
Complete the following pattern.
9 − 1 =
98 − 21 =
987 − 32 =
9876 − 432 =
98765 − 54321 =
What comes next?
1.
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=30 |
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=36 |
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=32 |
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=32 |
| =32 | =32 | =34 | =32 | =130 |
2.
(i) An equilateral triangle has 3 equal sides.
Length of the wire = '12 s' cm
\(\therefore \) Length of each side =\(\frac { 12s }{ 3 } cm\)
Length of each side of the triangle =4s cm
(ii) A square has four equal sides.
\(\therefore \) Length of each side \(\frac { 12s }{ 3 } cm\)
Length of each side of the square = 3s cm.
3.
Product of 70 and s
4.
11 added to 10 times x
5.
12 less to 5 times n
6.

7.
| Rectangles | 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 |
8.
Let karnan's age be x years
Gopals age is x-8 years
Given sum of their ages is 30.
i.e. x+(x-8) = 30
Now we will form the table to find thier sums =30
| Karnan's age(x) | Gopal's age x-8 | sum x+(x-8) | result | Is Sum=30 Yes/No |
| 10 | 10 - 8 = 2 | 10+2 | 12 | No |
| 11 | 11- 8= 3 | 11 + 3 | 14 | No |
| 12 | 12 - 8 = 4 | 12 + 4 | 16 | No |
| 13 | 13- 8= 5 | 13 + 5 | 18 | No |
| 14 | 14 - 8 = 6 | 14 + 6 | 20 | No |
| 15 | 15 - 8 = 7 | 15 + 7 | 22 | No |
| 16 | 16 - 8 = 8 | 16 + 8 | 24 | No |
| 17 | 17-8= 9 | 17 + 9 | 26 | No |
| 18 | 18-8=10 | 18 + 10 | 28 | No |
| 19 | 19-8=11 | 19 + 11 | 30 | Yes |
For x =19(Karnan's age) the sum = 30
\(\therefore \) Karnan's age = 19 years
9.
i) 5k = 8
k = 8 - 5 =
k = 3
ii) 6 + m = 7
m = 7 - 6
m = 1
iii) 4 + 6 = n
n = 10
iv) 7 + 2 = a
a = 9
v) b + 3 = 9
= 9 - 3
b = 6
vi) 6 + c = 10
c = 10 - 6 = 4
c = 4
vii) x +4 = 8
x = 8 - 4
x = 4
viii) y = 3 + 6
y = 9
10.
8; 77; 666; 5555; 44444; 333333
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Tamilnadu Stateboard 6th Standard Subjects
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