ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Factorisation
Question 1
1.
    • Find the number of numbers between
    • 6 2
       
    • and
    • 7 2
       
  • 13
  • 11
  • 10
  • 12
  • 15
Question 2
2.
    • Factorize
    •  
    		•
      a
      2
      		  −  
      b
      2
      		  −  
      c
      2
      		  −  
      2
      b
      c
      • (
        a
        +
        b
        +
        c
        		)
      • (
        a
        −
        b
        +
        c
        		)
      • (
        a
        −
        b
        −
        c
        		)
      • (
        a
        +
        b
        −
        c
        		)
      • (
        a
        −
        b
        −
        c
        		)
      • (
        a
        +
        b
        +
        c
        		)
      • (
        a
        −
        b
        −
        c
        		)
      • (
        a
        −
        b
        +
        c
        		)
      • (
        a
        +
        b
        +
        c
        		)
      • (
        a
        +
        b
        −
        c
        		)
Question 3
3.
    • Which of the following is an irreducible factor of
    • 23
      x
      2
       
      y
      3
       
      z
    • ?
  • z
  • y
    3
     
    z
  • x
    2
     
    y
  • x
    2
     
    y
    3
     
    z
    2
     
  • x
    z
    2
     
Question 4
4.
    • Factorize
    • (
      9
      a
      2
       
      −
      9
      b
      2
       
      		)
  • (
    2
    a
    −
    3
    b
    		)
    (
    2
    a
    +
    3
    b
    		)
  • (
    3
    a
    −
    6
    b
    		)
    3
    a
  • 3
    a
    (
    3
    a
    +
    5
    b
    		)
  • (
    3
    a
    −
    3
    b
    		)
    (
    3
    a
    +
    3
    b
    		)
  • (
    4
    a
    −
    3
    b
    		)
    (
    4
    a
    +
    3
    b
    		)
Question 5
5.
    • Factorize
    • (
      x
      2
       
      +
      2
      x
      a
      +
      3
      x
      +
      a
      2
       
      +
      3
      a
      −
      18
      		)
      • (
        x
        +
        a
        −
        3
        		)
      • (
        x
        −
        a
        +
        6
        		)
      • (
        x
        −
        a
        +
        6
        		)
      • (
        x
        +
        a
        +
        3
        		)
      • (
        x
        −
        a
        −
        3
        		)
      • (
        x
        +
        a
        −
        6
        		)
      • (
        x
        +
        a
        +
        6
        		)
      • (
        x
        −
        a
        −
        3
        		)
      • (
        x
        +
        a
        +
        6
        		)
      • (
        x
        +
        a
        −
        3
        		)
Question 6
6.
    • Factorize
    •  
       
      16
      a
      3
      		  −  
       
       
      49
      a
      • (
        4
        a
        +
        7
        		)
      • (
        4
        a
        2
         
        +
        7
        		)
      • a
      • (
        4
        a
        +
        7
        		)
      • (
        4
        a
        −
        7
        		)
      • a
      • (
        4
        a
        +
        7
        		)
      • (
        7
        a
        −
        4
        		)
      • a
      • (
        4
        a
        −
        7
        		)
      • (
        4
        a
        2
         
        +
        7
        		)
      • a
      • (
        4
        a
        2
         
        +
        7
        		)
      • (
        7
        a
        −
        4
        		)
      • a
Question 7
7.
    • Factorize
    • (
      2
      x
      3
       
      −
      12
      x
      2
       
      +
      10
      x
      +
      24
      		)
  • (
    2
    x
    −
    6
    		)
    (
    −
    x
    +
    1
    		)
    (
    −
    2
    x
    −
    4
    		)
  • (
    2
    x
    −
    6
    		)
    (
    4
    x
    +
    1
    		)
    (
    3
    x
    −
    4
    		)
  • (
    2
    x
    −
    6
    		)
    1
    (
    −
    4
    		)
  • (
    2
    x
    −
    6
    		)
    (
    x
    +
    1
    		)
    (
    x
    −
    4
    		)
  • (
    2
    x
    −
    6
    		)
    (
    2
    x
    +
    1
    		)
    (
    2
    x
    −
    4
    		)
Question 8
8.
Which of the following gives the H.C.F of two or more polynomials?
  • ( Product of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
  • ( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the lowest power )
  • ( H.C.F. of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
  • ( Product of numerical coefficients ) ✕ ( Each common factor raised to the highest power )
Question 9
9.
    • Factorize
    •  
    • (
      30
      x
      y
      +
      48
      y
      2
       
      		)
      • 6
        x
      • (
        5
        x
        +
        8
        y
        		)
      • 6
        y
      • (
        5
        x
        −
        8
        y
        		)
      • 6
        x
      • (
        5
        x
        −
        8
        y
        		)
      • 6
        y
      • (
        −
        5
        x
        −
        8
        y
        		)
      • 6
        y
      • (
        5
        x
        +
        8
        y
        		)
Question 10
10.
    • Find the H.C.F. of
    • 110
      x
      2
       
    • and
    • 50
      x
      3
       
  • 10
    x
    2
     
  • 10
    x
    4
     
  • 10
    x
    5
     
  • 550
    x
    3
     
  • 10
    x
    3