7th Standard Syllabus & Materials
7th Standard
Tamilnadu 7th Standard Maths T2 - родроХро╡ро▓рпН роЪрпЖропро▓ро╛роХрпНроХроорпН Important Questions And Answers Study Material - QB365 Set B
NEW7th Standard
Tamilnadu 7th Standard Maths T2 - родроХро╡ро▓рпН роЪрпЖропро▓ро╛роХрпНроХроорпН Important Questions And Answers Study Material - QB365 Set A
NEW7th Standard
Tamilnadu 7th Standard Maths T2 - ро╡роЯро┐ро╡ро┐ропро▓рпН Important Questions And Answers Study Material - QB365 Set C
NEW7th Standard
Tamilnadu 7th Standard Maths T2 - ро╡роЯро┐ро╡ро┐ропро▓рпН Important Questions And Answers Study Material - QB365 Set B
NEW7th Standard
Tamilnadu 7th Standard Maths T2 - ро╡роЯро┐ро╡ро┐ропро▓рпН Important Questions And Answers Study Material - QB365 Set A
NEW7th Standard
Tamilnadu 7th Standard Maths T2 - роЗропро▒рпНроХрогро┐родроорпН Important Questions And Answers Study Material - QB365 Set C
Published on: 13/12/2019
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Download Tamil Nadu 7th 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.
Choose the correct relationship between x and y from the given table.
| x | -2 | -1 | 0 | 1 | 2 | ... |
| y | 4 | 5 | 6 | 7 | 8 | ... |
y = x + 4
y = x + 5
y = x + 6
y = x + 7
2.
What is the sum of the elements of nineth row in the Pascal’s Triangle?
128
254
256
126
3.
The elements along the sixth row of the Pascal’s Triangle is
1, 5, 10, 5, 1
1, 5, 5, 1
1, 5, 5, 10, 5, 5, 1
1, 5, 10, 10, 5, 1
4.
Identify the correct relationship between x and y from the given table.
| x | -2 | -1 | 0 | 1 | 2 | ... |
| y | 6 | 3 | 0 | -3 | -6 | ... |
y = −2x
y = +2x
y = +3x
y = −3x
5.
Identify the correct relationship between x and y from the given table.
| x | 1 | 2 | 3 | 4 | ... |
| y | 4 | 8 | 12 | 16 | ... |
y = 4x
y = x + 4
y = 4
y = 4 × 4
6.
Observe the numbers in the hexagonal shape given in the Pascal’s Triangle. The product of the alternate three numbers in the hexagon is equal to the product of remaining three numbers. Verify this
7.
Can row sum of elements in a Pascal’s Triangle form a pattern?
8.
Tabulate the 3rd slanting row of the Pascal’s Triangle by taking the position of the numbers in the slanting row as x and the corresponding values as y.
| x | 1 | 2 | 3 | 4 | 5 | 6 | ... |
| y | 1 | 3 | 6 | 10 | 15 | 21 | ... |
Verify whether the relationship, y = \(\frac { x(x+1) }{ 2 } \) between x and y for the given values is true.
9.
Verify whether the following hexagonal shapes form a part of the Pascal’s Triangle.
10.
Verify whether the following hexagonal shapes form a part of the Pascal’s Triangle.
11.
Verify whether the following hexagonal shapes form a part of the Pascal’s Triangle.
12.
Write the first five numbers in the third slanting row of the Pascal’s Triangle and find their squares. What do you infer?
13.
The following hexagonal shapes are taken from Pascal’s Triangle. Fill in the missing numbers.
1.
(c)
y = x + 6
2.
(c)
256
3.
(d)
1, 5, 10, 10, 5, 1
4.
(d)
y = −3x
5.
(a)
y = 4x
6.
| S. No. | Hexagonal Shape | Product of alternate numbers | Product of other three alternate numbers |
| (i) |  |
1 × 1 × 3 = 3 | 3 ×1×1 = 3 |
| (ii) |  |
1× 6 ×10 = 60 | 1×15 × 4 = 60 |
| (iii) |  |
1× 5 × 21 = 105 | 1×15 × 7 = 105 |
7.
The row sum of elements of a Pascal’s Triangle are shown below:
First row = 21 − 1 = 1
Second row = 22 − 1 = 2 x 1 = 2
Third row = 23 − 1 = 2 x 2 = 4
Fourth row = 24 − 1 = 2 x 2 x 2 = 8
Fifth row = 25 − 1 = 2 × 2 × 2 × 2 = 16
Sixth row = 26 − 1 = 2 × 2 × 2 × 2 × 2 = 32
Seventh row = 27 − 1 = 2 × 2 × 2 × 2 × 2 × 2 = 64
Eighth row = 28 − 1 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128
Here x denotes the row and y denotes the corresponding row sum. The values of x and y can be tabulated as follows:
| x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ... |
| y | 1 | 2 | 4 | 8 | 16 | 32 | 64 | 128 | ... |
The relationship between x and y is y = 2x – 1.
8.
Observe the table carefully. To verify the relationship between x and y, let us substitute the values of x and get the values of y.
If x = 1, y = \(\frac { 1(1+1) }{ 2 } =\frac { 2 }{ 2 } =1\)
If x = 2 , y = \(\frac { 2(2+1) }{ 2 } =\frac { 6 }{ 2 } =3\)
If x = 3, y = \(\frac { 3(3+1) }{ 2 } =\frac { 12 }{ 2 } =6\)
If x = 4 , y = \(\frac { 4(4+1) }{ 2 } =\frac { 20 }{ 2 } =10\)
If x = 5, y = \(\frac { 5(5+1) }{ 2 } =\frac { 30 }{ 2 } =15\)
Hence, y = \(\frac { x(x+1) }{ 2 } \) is verified.
9.
56 × 210 × 126 = 70 × 84 × 252
10.
8 × 45 × 84 = 28 × 9 × 120
11.
1 × 13 × 66 = 11 × 1 × 78
12.
Five numbers in third slanting rows are 1, 3, 6, 10, 15; Their squares are 1, 9, 36, 100, 225.
13.
7th Standard Syllabus & Materials
7th Standard
Tamilnadu 7th Standard Maths T2 - роЗропро▒рпНроХрогро┐родроорпН Important Questions And Answers Study Material - QB365 Set B
NEW7th Standard
Tamilnadu 7th Standard Maths T2 - роЗропро▒рпНроХрогро┐родроорпН Important Questions And Answers Study Material - QB365 Set A
NEW7th Standard
Tamilnadu 7th Standard Maths T2 - роЕро│ро╡рпИроХро│рпН Important Questions And Answers Study Material - QB365 Set C
NEW7th Standard
Tamilnadu 7th Standard Maths T2 - роЕро│ро╡рпИроХро│рпН Important Questions And Answers Study Material - QB365 Set B
Tamilnadu Stateboard 7th Standard Subjects
Tamilnadu Stateboard Standards
