ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Simultaneous Linear Equations
Question 1
1.
A motor boat can travel at a speed of 17.69 m/sec downstream and 1.09 m/sec upstream. How much time will it take to cross a distance of 277.47 m in still water?
  • 29.55 sec
  • 31.55 sec
  • 28.55 sec
  • 30.55 sec
  • 27.55 sec
Question 2
2.
A motor boat can travel at a speed of 41.93 m/sec downstream and 13.59 m/sec upstream. How much distance can the boat travel in 16.76 sec in still water?
  • 463.26 m
  • 465.26 m
  • 466.26 m
  • 467.26 m
  • 464.26 m
Question 3
3.
    • Solve the following pair of equations :
    •   −  
       
       
      9
       
       
      (
      5
      x
      +
      y
      		)
      		  +  
       
       
      9
       
       
      (
      5
      x
      −
      y
      		)
      =
       
       
      (
      −
      9
      		)
    •   −  
       
       
      1
       
       
      (
      5
      x
      +
      y
      		)
      		  +  
       
       
      12
       
       
      (
      5
      x
      −
      y
      		)
      =
       
       
      32
  • (
    7
    120
    ,
    (
    -1
    22
    		 )
    )
  • (
    3
    40
    ,
    (
    -1
    24
    		 )
    )
  • (
    7
    122
    ,
    (
    -1
    24
    		 )
    )
  • (
    7
    120
    ,
    (
    -1
    24
    		 )
    )
  • (
    7
    120
    ,
    (
    -1
    8
    		 )
    )
Question 4
4.
    • Solve
    • (
      −
      4
      x
      −
      3
      y
      −
      1
      		)
      =
      0
      (
      5
      x
      −
      3
      y
      +
      1
      		)
      =
      0
  • (
    (
    -2
    9
    		 )
    ,
    (
    -1
    27
    		 )
    )
  • (
    (
    -2
    11
    		 )
    ,
    (
    -1
    27
    		 )
    )
  • (
    (
    -2
    11
    		 )
    ,
    (
    -1
    25
    		 )
    )
  • (
    0
    ,
    (
    -1
    25
    		 )
    )
  • (
    0
    ,
    (
    -1
    9
    		 )
    )
Question 5
5.
    • Solve the following pair of equations :
    •   −  
       
       
      7
       
       
      x
      		  −  
       
       
      7
       
       
      y
      =
       
       
      (
      −
      7
      		)
    •  
       
      3
       
       
      x
      		  −  
       
       
      10
       
       
      y
      =
       
       
      (
      −
      36
      		)
  • (
    1
    ,
    1
    3
    )
  • (
    (
    -1
    2
    		 )
    ,
    1
    )
  • (
    (
    -1
    2
    		 )
    ,
    (
    -1
    3
    		 )
    )
  • (
    (
    -1
    2
    		 )
    ,
    1
    3
    )
  • (
    (
    -3
    2
    		 )
    ,
    1
    3
    )
Question 6
6.
A motor boat can travel at a speed of 25.32 m/sec downstream and 0.12 m/sec upstream. What is the speed of the stream?
  • 14.60 m/sec
  • 12.60 m/sec
  • 10.60 m/sec
  • 11.60 m/sec
  • 13.60 m/sec
Question 7
7.
    • 25
    • men and
    • 12
    • women can do a piece of work in
    • 5
    • days.
    • 2
    • men and
    • 5
    • women can do the same work in
    • 20
    • days.
    • In how many days can
    • 5
    • men and
    • 2
    • women complete the same work?
  • 27
    9
    37
    days
  • 27
    13
    37
    days
  • 27
    11
    39
    days
  • 27
    11
    37
    days
  • 27
    11
    35
    days
Question 8
8.
    • Solve the following pair of equations :
    •   −  
       
       
      2
       
       
      (
      x
      +
      8
      		)
      		  +  
       
       
      9
       
       
      (
      y
      +
      6
      		)
      =
       
       
      (
      −
      70
      		)
    •   −  
       
       
      1
       
       
      (
      x
      +
      8
      		)
      		  +  
       
       
      3
       
       
      (
      y
      +
      6
      		)
      =
       
       
      (
      −
      26
      		)
  • (
    (
    -63
    8
    		 )
    ,
    -3
    )
  • (
    1
    ,
    (
    -37
    6
    		 )
    )
  • (
    3
    ,
    (
    -37
    6
    		 )
    )
  • (
    (
    -63
    8
    		 )
    ,
    (
    -37
    6
    		 )
    )
  • (
    (
    -63
    8
    		 )
    ,
    -1
    )
Question 9
9.
    • Solve the following pair of equations :
    •   −  
       
       
      6
       
       
      (
      x
      +
      y
      		)
      		  −  
       
       
      3
       
       
      (
      x
      −
      y
      		)
      =
       
       
      (
      −
      27
      		)
    •   −  
       
       
      7
       
       
      (
      x
      +
      y
      		)
      		  −  
       
       
      7
       
       
      (
      x
      −
      y
      		)
      =
       
       
      (
      −
      49
      		)
  • (
    7
    20
    ,
    1
    20
    )
  • (
    7
    22
    ,
    3
    20
    )
  • (
    7
    20
    ,
    1
    6
    )
  • (
    9
    20
    ,
    3
    20
    )
  • (
    7
    20
    ,
    3
    20
    )
Question 10
10.
    • Solve the following pair of equations :
    • (
      8
      x
      −
      7
      y
      		)
      =
      (
      −
      5
      x
      y
      		)
    • (
      5
      x
      −
      4
      y
      		)
      =
      (
      −
      2
      x
      y
      		)
  • (
    1
    5
    ,
    1
    2
    )
  • (
    1
    ,
    1
    2
    )
  • (
    1
    3
    ,
    1
    )
  • (
    1
    3
    ,
    (
    -1
    2
    		 )
    )
  • (
    1
    3
    ,
    1
    2
    )