Algebra Important Questions

8th Standard EM

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Maths

Time : 01:30:00 Hrs
Total Marks : 60
    4 x 1 = 4
  1. The product of 7p3 and (2p2)2 is

    (a)

    14p12

    (b)

    28B7

    (c)

    9p7

    (d)

    11p12

  2. If the area of a square is 36x4y2then, its side is______

    (a)

    6x4y2

    (b)

    8x2y2

    (c)

    6x2y2

    (d)

    -6x2y

  3. 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

  4. 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

  5. 2 x 1 = 2
  6. \(\cfrac { { 18m }^{ 4 } }{ { 2m }^{ 3 }{ n }^{ 5 } } =\_ \_ \_ { mn }^{ 5 }\)

    ()

    \(\cfrac { 18{ m }^{ 4 }(n^{ 98 }) }{ 2m^{ (3) }{ n }^{ 3 } } =9mn^{ 5 }\)

  7. \(\cfrac { { 42a }^{ 4 }{ b }^{ 5 }\left( \_ \right) }{ { 6a }^{ 4 }{ b }^{ 2 } } =\left( \_ \right) { b }^{ 3 }{ c }^{ 2 }\)

    ()

     \(\cfrac { { 42a }^{ 4 }{ b }^{ 5 }\left( c^2 \right) }{ { 6a }^{ 4 }{ b }^{ 2 } } =\left( 7 \right) { b }^{ 3 }{ c }^{ 2 }\)

  8. 15 x 2 = 30
  9. Multiply a monomial by a monomial
    6x,4

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

  11. Multiply a monomial by a monomial
    2p2q3, −9pq2

  12. Expand 5x(2y− 3)

  13. Expand −2p(5p2−3p +7)

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

  15. Find the missing term 6xy×_________= −12x3y

  16. Divide 27y3 ÷ 3y

  17. Expand (3m+5)2

  18. Expand (52)3

  19. Factorise the following by taking out the common factor 18xy-12yz

  20. Factorise the following expressions m2+m−72

  21. Factorise the following expressions using a3-b3=(a-b)(a2+ab+b2) identity c3-27b3a3

  22. Multiply (4x2+9) and (3x-2)

  23. Factorise :(7y2-19y-6)

  24. 3 x 3 = 9
  25. If the side of a square carpet is 3xmetre, then find its area

  26. Multiply 3x2yand (2x3y3−5x2y+9xy)

  27. Multiply (2x+5y) and (3x−4y)

  28. 3 x 5 = 15
  29. Divide (10m2 − 5m)by (2m−1)

  30. Factorise : 49x2-64y2

  31. Factorise: a3 – 8

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