ICSE Board Practice

ICSE Grade VIII - Simultaneous Linear Equations
Question 1
1.
    • Solve
    • (
      x
      3
      y
      5
      )
      =
      0
      (
      3
      x
      3
      y
      )
      =
      0
  • (
    (
    -3

    2
    )
    ,
    (
    -7

    2
    )
    )
  • (
    (
    -3

    2
    )
    ,
    -3
    )
  • (
    (
    -9

    4
    )
    ,
    (
    -5

    2
    )
    )
  • (
    (
    -9

    4
    )
    ,
    -3
    )
  • (
    (
    -5

    2
    )
    ,
    (
    -5

    2
    )
    )
Question 2
2.
    • Solve the following pair of equations :
    •  
       
      15

       
       
      x
        +  
       
       
      2
      y
      =
       
       
      91
    •    
       
       
      1

       
       
      x
        +  
       
       
      6
      y
      =
       
       
      (
      49
      )
  • (
    3

    7
    ,
    -7
    )
  • (
    1

    9
    ,
    -7
    )
  • (
    1

    7
    ,
    -9
    )
  • (
    1

    7
    ,
    -7
    )
  • (
    1

    7
    ,
    -8
    )
Question 3
3.
    • Solve
    • (
      4
      x
      2
      y
      2
      )
      =
      (
      3
      )
      (
      x
      +
      2
      y
      3
      )
      =
      2
  • (
    6

    5
    ,
    19

    6
    )
  • (
    2
    ,
    13

    4
    )
  • (
    2
    ,
    17

    6
    )
  • (
    6

    5
    ,
    13

    4
    )
  • (
    4

    3
    ,
    19

    6
    )
Question 4
4.
    • Solve the following pair of equations :
    •    
       
       
      2
      x
         
       
       
      14

       
       
      y
      =
       
       
      46
    •  
       
      7
      x
         
       
       
      17

       
       
      y
      =
       
       
      (
      29
      )
  • (
    -9
    ,
    (
    -1

    4
    )
    )
  • (
    -9
    ,
    1

    2
    )
  • (
    -8
    ,
    (
    -1

    2
    )
    )
  • (
    -9
    ,
    (
    -1

    2
    )
    )
  • (
    -7
    ,
    (
    -1

    2
    )
    )
Question 5
5.
    • Solve the following pair of equations :
    •    
       
       
      6

       
       
      (
      x
      9
      )
         
       
       
      5

       
       
      (
      y
      3
      )
      =
       
       
      (
      49
      )
    •    
       
       
      13

       
       
      (
      x
      9
      )
        +  
       
       
      3

       
       
      (
      y
      3
      )
      =
       
       
      (
      37
      )
  • (
    37

    4
    ,
    16

    5
    )
  • (
    37

    4
    ,
    -1
    )
  • (
    1
    ,
    16

    5
    )
  • (
    3
    ,
    16

    5
    )
  • (
    37

    4
    ,
    -2
    )
Question 6
6.
A motor boat can travel at a speed of 18.70 m/sec downstream and 4.04 m/sec upstream. How much time will it take to cross a distance of 323.59 m in still water?
  • 30.46 sec
  • 26.46 sec
  • 29.46 sec
  • 27.46 sec
  • 28.46 sec
Question 7
7.
    • Solve the following pair of equations :
    • (
      3
      x
      +
      9
      y
      )
      =
      (
      66
      x
      y
      )
    • (
      x
      6
      y
      )
      =
      46
      x
      y
  • (
    (
    -1

    8
    )
    ,
    (
    -1

    2
    )
    )
  • (
    (
    -1

    8
    )
    ,
    (
    -1

    4
    )
    )
  • (
    (
    -3

    8
    )
    ,
    (
    -1

    2
    )
    )
  • (
    (
    -1

    6
    )
    ,
    (
    -1

    2
    )
    )
  • (
    (
    -1

    8
    )
    ,
    1

    2
    )
Question 8
8.
    • Solve the following pair of equations :
    •    
       
       
      6

       
       
      x
        +  
       
       
      4

       
       
      y
      =
       
       
      54
    •    
       
       
      15

       
       
      x
        +  
       
       
      3

       
       
      y
      =
       
       
      72
  • (
    -1
    ,
    1

    9
    )
  • (
    (
    -1

    3
    )
    ,
    1

    9
    )
  • (
    (
    -1

    3
    )
    ,
    (
    -1

    9
    )
    )
  • (
    (
    -1

    3
    )
    ,
    1

    7
    )
Question 9
9.
    • Solve the following pair of equations :
    •    
       
       
      12

       
       
      (
      3
      x
      +
      y
      )
        +  
       
       
      5

       
       
      (
      3
      x
      y
      )
      =
       
       
      (
      20
      )
    •    
       
       
      6

       
       
      (
      3
      x
      +
      y
      )
         
       
       
      1

       
       
      (
      3
      x
      y
      )
      =
       
       
      (
      38
      )
  • (
    13

    242
    ,
    3

    80
    )
  • (
    13

    240
    ,
    1

    80
    )
  • (
    1

    16
    ,
    3

    80
    )
  • (
    13

    240
    ,
    3

    80
    )
  • (
    13

    240
    ,
    1

    26
    )
Question 10
10.
A motor boat can travel at a speed of 20.58 m/sec downstream and 12.06 m/sec upstream. How much distance can the boat travel in 29.59 sec in still water?
  • 483.91 m
  • 480.91 m
  • 482.91 m
  • 484.91 m
  • 481.91 m