" /> -->

#### Term 2 Information Processing Model Question Paper

7th Standard EM

Reg.No. :
•
•
•
•
•
•

Maths

Time : 01:00:00 Hrs
Total Marks : 30
5 x 1 = 5
1. Identify the correct relationship between x and y from the given table.

 x 1 2 3 4 ... y 4 8 12 16 ...
(a)

y = 4x

(b)

y = x + 4

(c)

y = 4

(d)

y = 4 × 4

2. Identify the correct relationship between x and y from the given table.

 x -2 -1 0 1 2 ... y 6 3 0 -3 -6 ...
(a)

y = −2x

(b)

y = +2x

(c)

y = +3x

(d)

y = −3x

3. The elements along the sixth row of the Pascal’s Triangle is

(a)

1, 5, 10, 5, 1

(b)

1, 5, 5, 1

(c)

1, 5, 5, 10, 5, 5, 1

(d)

1, 5, 10, 10, 5, 1

4. What is the sum of the elements of nineth row in the Pascal’s Triangle?

(a)

128

(b)

254

(c)

256

(d)

126

5. Choose the correct relationship between x and y from the given table.

 x -2 -1 0 1 2 ... y 4 5 6 7 8 ...
(a)

y = x + 4

(b)

y = x + 5

(c)

y = x + 6

(d)

y = x + 7

6. 5 x 2 = 10
7. The following hexagonal shapes are taken from Pascal’s Triangle. Fill in the missing numbers.

8. Write the first five numbers in the third slanting row of the Pascal’s Triangle and find their squares. What do you infer?

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. 3 x 5 = 15
13. 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.

14. Can row sum of elements in a Pascal’s Triangle form a pattern?

15. 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