Algebra Model Question Paper

8th Standard EM

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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)

    28B7

    (c)

    9p7

    (d)

    11p12

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

    (a)

    6mm

    (b)

    8m2n

    (c)

    7m2n2

    (d)

    6m2n2

  3. If the area of a rectangular land is(a2-b2)− sq.units whose breadth is()ab− 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)2=_________

    ()

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

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

    ()

    (62-x2) = (6+x)(6-x)

  7. Expand the following
    (a+b)2=(a+b)x_______

    ()

    (a+b)2 = (a+b)X(a+b)

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

    ()

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

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

    ()

    (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×b×h .

  14. Expand −2p(5p2−3p +7)

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

  16. Find the missing term _________×(−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)

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

  25. Divide -21abc2 by 7abc

  26. 2 x 5 = 10
  27. Factorise x2+yz+xy+xz

  28. Factorise: 81x3-3y3

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