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 14.51 m/sec downstream and 3.47 m/sec upstream. What is the speed of the stream?
  • 4.52 m/sec
  • 7.52 m/sec
  • 5.52 m/sec
  • 3.52 m/sec
  • 6.52 m/sec
Question 2
2.
    • Solve the following pair of equations :
    •   −  
       
       
      7
      x
      		  +  
       
       
      12
       
       
      y
      =
       
       
      (
      −
      40
      		)
    •   −  
       
       
      4
      x
      		  +  
       
       
      4
       
       
      y
      =
       
       
      (
      −
      20
      		)
  • (
    4
    ,
    -4
    )
  • (
    4
    ,
    1
    -1
    )
  • (
    4
    ,
    -2
    )
  • (
    5
    ,
    1
    -1
    )
  • (
    6
    ,
    1
    -1
    )
Question 3
3.
    • Solve the following pair of equations :
    •  
       
      13
       
       
      (
      2
      x
      +
      y
      		)
      		  −  
       
       
      6
       
       
      (
      2
      x
      −
      y
      		)
      =
       
       
      (
      −
      24
      		)
    •  
       
      14
       
       
      (
      2
      x
      +
      y
      		)
      		  −  
       
       
      13
       
       
      (
      2
      x
      −
      y
      		)
      =
       
       
      33
  • (
    (
    -1
    24
    		 )
    ,
    (
    -1
    36
    		 )
    )
  • (
    (
    -5
    72
    		 )
    ,
    (
    -1
    36
    		 )
    )
  • (
    (
    -5
    72
    		 )
    ,
    (
    -1
    12
    		 )
    )
  • (
    (
    -5
    74
    		 )
    ,
    (
    -1
    36
    		 )
    )
  • (
    (
    -5
    72
    		 )
    ,
    (
    -1
    34
    		 )
    )
Question 4
4.
A motor boat can travel at a speed of 24.36 m/sec downstream and 0.10 m/sec upstream. How much time will it take to cross a distance of 205.22 m in still water?
  • 17.78 sec
  • 18.78 sec
  • 15.78 sec
  • 14.78 sec
  • 16.78 sec
Question 5
5.
A motor boat can travel at a speed of 29.90 m/sec downstream and 1.58 m/sec upstream. How much distance can the boat travel in 17.88 sec in still water?
  • 282.43 m
  • 283.43 m
  • 281.43 m
  • 280.43 m
  • 279.43 m
Question 6
6.
    • 3
    • men and
    • 1
    • women can do a piece of work in
    • 24
    • days.
    • 1
    • men and
    • 6
    • women can do the same work in
    • 24
    • days.
    • In how many days can
    • 3
    • men and
    • 3
    • women complete the same work?
  • 19
    3
    7
    days
  • 19
    1
    3
    days
  • 19
    3
    5
    days
  • 19
    5
    7
    days
  • 19
    1
    7
    days
Question 7
7.
    • Solve
    • (
      −
      x
      +
      4
      y
      −
      1
      		)
      =
      2
      (
      −
      3
      x
      +
      2
      y
      +
      3
      		)
      =
      2
  • (
    4
    ,
    0
    )
  • (
    2
    ,
    1
    )
  • (
    2
    ,
    0
    )
  • (
    1
    ,
    1
    )
  • (
    4
    ,
    -2
    )
Question 8
8.
    • Solve
    • (
      −
      3
      x
      −
      4
      y
      +
      5
      		)
      =
      (
      5
      x
      −
      2
      y
      −
      1
      		)
      (
      −
      5
      x
      −
      4
      y
      −
      5
      		)
      =
      (
      −
      3
      x
      −
      5
      y
      		)
  • (
    (
    -1
    3
    		 )
    ,
    13
    3
    )
  • (
    1
    3
    ,
    5
    )
  • (
    (
    -1
    5
    		 )
    ,
    5
    )
  • (
    (
    -1
    5
    		 )
    ,
    13
    3
    )
  • (
    1
    3
    ,
    11
    3
    )
Question 9
9.
    • Solve the following pair of equations :
    •  
       
      6
       
       
      x
      		  +  
       
       
      1
       
       
      y
      =
       
       
      34
    •  
       
      5
       
       
      x
      		  +  
       
       
      11
       
       
      y
      =
       
       
      (
      −
      53
      		)
  • (
    3
    7
    ,
    (
    -1
    8
    		 )
    )
  • (
    1
    7
    ,
    1
    8
    )
  • (
    1
    9
    ,
    (
    -1
    8
    		 )
    )
  • (
    1
    7
    ,
    (
    -1
    10
    		 )
    )
  • (
    1
    7
    ,
    (
    -1
    8
    		 )
    )
Question 10
10.
A motor boat can travel at a speed of 18.24 m/sec downstream and 0.92 m/sec upstream. What is the speed of the motor boat in still water?
  • 7.58 m/sec
  • 11.58 m/sec
  • 8.58 m/sec
  • 10.58 m/sec
  • 9.58 m/sec