Algebra Model Question Paper

8th Standard

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Maths

Time : 01:30:00 Hrs
Total Marks : 50
    3 x 1 = 3
  1. The product of 7p3 and (2p2)2 is

    (a)

    14p12

    (b)

    28P7

    (c)

    9p7

    (d)

    11p12

  2. If the area of a rectangle is 48m2n3 and whose length is 82mn2 then, its breadth is______

    (a)

    6mm

    (b)

    8m2n

    (c)

    7m2n2

    (d)

    6m2n2

  3. If the area of a rectangular land is(a- b)− sq.units whose breadth is (a - b) then, its length is__________

    (a)

    a - b

    (b)

    a + b

    (c)

    a2- b

    (d)

    (a + b)2

  4. 5 x 1 = 5
  5. Expand the following
    (p + 2)= _________

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    (p + 2)2 = p2 + 2(P) (2) + 22 = p2 + 4p + 4

  6. Expand the following
    (62-x2) =_______

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    (62-x2) = (6 + x)(6 - x)

  7. Expand the following
    (a + b)= (a + b) x _______

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    (a + b)2 = (a + b) x ( a + b)

  8. Expand the following
    m2 - 6m + 9 = _______

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    m2 - 6m + 9 = (m-3)2

  9. Expand the following
    (m -10)(m + 5) =______

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    (m - 10)(m + 5) =  m2+ (-10+ 5)m + (-10)(5) = m2 - 5m -50

  10. 10 x 2 = 20
  11. Multiply a monomial by a monomial
    6x,4

  12. Multiply a monomial by a monomial 
    a3, -4a2b

  13. If l = 4pq2 , b= −3p2q ,h= 2p3q3 then, find the value of l x b x h .

  14. Expand −2p(5p2−3p +7)

  15. Find the product of (2x + 3)(2x − 4)

  16. Find the missing term _________x (−15m2n3p) = 45m3n3p2

  17. Divide \({ x }^{ 3 }y^{ 2 }\div { x }^{ 2 }y\)

  18. Identify the errors and correct them 6xy + 3xy = 9x2y2

  19. Expand (104)3

  20. Factorise the following by taking out the common factor 3y(x − 2)2−2(2 − x)

  21. 4 x 3 = 12
  22. Find the product of 2x2y2, 3y2z and –z2x3

  23. Simplify (3x + 5y) (3x - 5y) by using (a + b) (a − b) identity

  24. Expand: (x + 3)(x + 5)(x + 2)

  25. Divide -21abc2 by 7abc

  26. 2 x 5 = 10
  27. Factorise x+ yz + xy + xz

  28. Factorise: 81x3-3y3

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