EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Ratio and Proportion
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • If
    •  
    • A

      9
    • =
    • B

      3
    • =
    • C

      5
    • ,
    • find A : B : C
  • (i)
    9
    :
    6
    :
    5
  • (ii)
    9
    :
    0
    :
    5
  • (iii)
    10
    :
    3
    :
    5
  • (iv)
    8
    :
    3
    :
    5
  • (v)
    9
    :
    3
    :
    5
Question 2
2.
    • Find the missing value in the equation
    • 33
    • :
    • 1
    • =
    • 99
    • :
    • ____
  • (i)
    5
  • (ii)
    0
  • (iii)
    3
  • (iv)
    4
  • (v)
    2
Question 3
3.
    • What number must be added to each term of the ratio
    • 36
      :
      54
    • to make it
    • 14
      :
      15
    • ?
  • (i)
    217
  • (ii)
    213
  • (iii)
    218
  • (iv)
    215
  • (v)
    216
Question 4
4.
A box contains 52 pens and 182 pencils. The ratio of pencils to the total stationary items =
  • (i)
    8
    :
    9
  • (ii)
    7
    :
    9
  • (iii)
    6
    :
    9
  • (iv)
    7
    :
    12
  • (v)
    7
    :
    7
Question 5
5.
    • In a mixture of
    • 306
    • litres,
    • the ratio of milk and water is
    • 8 : 9
    • .
    • How much water must be added
    • to this mixture to make the ratio
    • 8 : 11
    • ?
  • (i)
    38
  • (ii)
    37
  • (iii)
    35
  • (iv)
    33
  • (v)
    36
Question 6
6.
A box contains 793 fruits of 3 types. There are 61 mangoes and 305 apples. The number of oranges in the box =
  • (i)
    429
  • (ii)
    426
  • (iii)
    427
  • (iv)
    428
  • (v)
    425
Question 7
7.
A ratio is equal to 21 : 25. If its antecendent is 420, what is its consequent?
  • (i)
    500
  • (ii)
    499
  • (iii)
    498
  • (iv)
    501
  • (v)
    502
Question 8
8.
    • If a : b =
    • 18

      40
      :
      6

      19
    • and b : c =
    • 8

      24
      :
      16

      22
    • ,
    • then a : b : c =
  • (i)
    3

    22
    :
    2

    19
    :
    48

    209
  • (ii)
    3

    20
    :
    0
    :
    48

    209
  • (iii)
    3

    20
    :
    2

    19
    :
    48

    209
  • (iv)
    1

    6
    :
    2

    19
    :
    48

    209
  • (v)
    3

    20
    :
    4

    19
    :
    48

    209
Question 9
9.
    • Find the missing value in the equation
    • 2
    • :
    • 1
    • =
    • ____
    • :
    • 8
  • (i)
    17
  • (ii)
    19
  • (iii)
    15
  • (iv)
    14
  • (v)
    16
Question 10
10.
Which of the ratios is proportional to 16 : 4?
  • (i)
    35
    :
    9
  • (ii)
    37
    :
    9
  • (iii)
    36
    :
    9
  • (iv)
    36
    :
    6
  • (v)
    36
    :
    12
Question 11
11.
    • Find the fourth proportional of
    • 36
    • ,
    • 6
    • and
    • 18
  • (i)
    6
  • (ii)
    3
  • (iii)
    1
  • (iv)
    18
Question 12
12.
The ratio of two numbers is
2
:
5
and their LCM is 140. Find the numbers.
  • (i)
    24
    :
    60
  • (ii)
    26
    :
    65
  • (iii)
    28
    :
    70
  • (iv)
    32
    :
    80
  • (v)
    30
    :
    75
Question 13
13.
Divide 15054 in the ratio 26 : 13
  • (i)
    10037 , 5018
  • (ii)
    10036 , 5016
  • (iii)
    10035 , 5018
  • (iv)
    10036 , 5018
  • (v)
    10036 , 5020
Question 14
14.
    • Find the product of extremes of
    • 13

      10
      :
      18

      13
    • and
    • 19

      17
      :
      5

      18
  • (i)
    13

    34
  • (ii)
    11

    36
  • (iii)
    5

    12
  • (iv)
    13

    36
  • (v)
    342

    221
Question 15
15.
    • If a : b =
    • 3
      :
      7
    • , b : c =
    • 1
      :
      3
    • and c : d =
    • 1
      :
      2
    • ,
    • then a : b : c : d =
  • (i)
    3
    :
    9
    :
    21
    :
    42
  • (ii)
    3
    :
    4
    :
    21
    :
    42
  • (iii)
    4
    :
    7
    :
    21
    :
    42
  • (iv)
    2
    :
    7
    :
    21
    :
    42
  • (v)
    3
    :
    7
    :
    21
    :
    42
Question 16
16.
A box contains 244 mangoes, 183 apples and 305 oranges. The ratio of mangoes to the total fruits =
  • (i)
    1
    :
    0
  • (ii)
    1
    :
    5
  • (iii)
    1
    :
    3
  • (iv)
    0
    :
    3
  • (v)
    2
    :
    3
Question 17
17.
    • An employer reduces the number of
    • employees in the ratio of
    • 9 : 4
    • and increases their wages
    • in the ratio
    • 1 : 3
    • .
    • In what ratio, the wage bill is increased or decreased?
  • (i)
    3
    :
    7
  • (ii)
    2
    :
    4
  • (iii)
    3
    :
    4
  • (iv)
    3
    :
    2
Question 18
18.
A man reduces his weight in the ratio 20 : 10. What is his weight now, if originally he was 85 kg ?
  • (i)
    87

    2
    kg
  • (ii)
    89

    2
    kg
  • (iii)
    43
    kg
  • (iv)
    85

    2
    kg
Question 19
19.
    • Find the third proportional of
    • 72
    • and
    • 12
  • (i)
    72
  • (ii)
    144
  • (iii)
    0
  • (iv)
    2
  • (v)
    12
Question 20
20.
    • In an examination, the ratio of passes to failures was 4 : 3.
    • Had 180 less appeared and 5 less passed, the ratio of passes to failures would have been 63 : 13.
    • How many students appeared for the examination?
  • (i)
    560
  • (ii)
    555
  • (iii)
    550
  • (iv)
    565
  • (v)
    570
Question 21
21.
Divide 23100 in the ratio 17 : 24 : 25
  • (i)
    5950 , 8398 , 8750
  • (ii)
    5950 , 8403 , 8750
  • (iii)
    5951 , 8400 , 8750
  • (iv)
    5949 , 8400 , 8750
  • (v)
    5950 , 8400 , 8750
Question 22
22.
A box contains 104 stationary items of 2 types. The pens and pencils are in the ratio 2 : 6. The number of pens in the box =
  • (i)
    25
  • (ii)
    24
  • (iii)
    26
  • (iv)
    27
  • (v)
    29
Question 23
23.
An office contains 1587 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 6 : 7 : 3 : 7. The number of managers in the office =
  • (i)
    417
  • (ii)
    413
  • (iii)
    414
  • (iv)
    412
  • (v)
    415
Question 24
24.
The ratio of males to females in a committee of 165 members is 3 : 8. How many more ladies should be added to the committee so that the ratio of males to females is 9 : 40?
  • (i)
    79
  • (ii)
    82
  • (iii)
    77
  • (iv)
    80
  • (v)
    81
Question 25
25.
Find the ratio between 2 months and 3 years 7 months
  • (i)
    2
    :
    40
  • (ii)
    1
    :
    43
  • (iii)
    2
    :
    43
  • (iv)
    2
    :
    46
    Assignment Key

  •  1) (v)
  •  2) (iii)
  •  3) (v)
  •  4) (ii)
  •  5) (v)
  •  6) (iii)
  •  7) (i)
  •  8) (iii)
  •  9) (v)
  •  10) (iii)
  •  11) (ii)
  •  12) (iii)
  •  13) (iv)
  •  14) (iv)
  •  15) (v)
  •  16) (iii)
  •  17) (iii)
  •  18) (iv)
  •  19) (iv)
  •  20) (i)
  •  21) (v)
  •  22) (iii)
  •  23) (iii)
  •  24) (iv)
  •  25) (iii)