Term 2 Information Processing Model Question Paper

7th Standard

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
    6 x 1 = 6
  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. The difference between the consecutive terms of the fifth slanting row containing four elements of a Pascal’s Triangle is

    (a)

    3, 6,10,…

    (b)

    4, 10, 20,…

    (c)

    1, 4, 10,…

    (d)

    1, 3, 6, …

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

    (a)

    128

    (b)

    254

    (c)

    256

    (d)

    126

  6. 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

  7. 3 x 2 = 6
  8. Find the trianglular numbers from the Pascal’s Triangle and colour them.

  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. 1 x 3 = 3
  12. In the following figures, polygons are formed by increasing the number of sides using matchsticks as given below.

    Find the number of sticks required to form the next three shapes by tabulation and generalisation.

  13. 3 x 5 = 15
  14. 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.

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

  16. 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

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