EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Ratio and Proportion
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The work done by (2x) men in (20x) days and work done by (10x + 1) men in (5x + 1) days is in the ratio of 160 : 231 . Find the value of x
(i)
1
(ii)
2
(iii)
3
(iv)
5
(v)
0
Question
2
2.
An office contains 990 employees of 4 types. The managers, team leaders, developers and testers are in the ratio 2 : 7 : 6 : 3. The number of managers in the office =
(i)
111
(ii)
113
(iii)
108
(iv)
110
(v)
109
Question
3
3.
A box contains 57 pens and 285 pencils. The ratio of pencils to the total stationary items =
(i)
5
:
9
(ii)
5
:
4
(iii)
6
:
6
(iv)
5
:
6
(v)
4
:
6
Question
4
4.
Find the ratio between 3 l and 9 kl
(i)
1
:
2998
(ii)
1
:
3000
(iii)
0
:
3000
(iv)
1
:
3002
Question
5
5.
If a : b =
7
6
:
2
3
, b : c =
9
7
:
7
3
and c : d =
5
9
:
3
7
,
then a : b : c : d =
(i)
945
:
543
:
980
:
756
(ii)
944
:
540
:
980
:
756
(iii)
945
:
540
:
980
:
756
(iv)
946
:
540
:
980
:
756
(v)
945
:
538
:
980
:
756
Question
6
6.
A man reduces his weight in the ratio 19 : 11. What is his weight now, if originally he was 95 kg ?
(i)
55
kg
(ii)
54
kg
(iii)
56
kg
(iv)
53
kg
(v)
57
kg
Question
7
7.
A certain amount has been divided into two parts in the ratio 7 : 3. If the first part is 161, find the total amount.
(i)
233
(ii)
229
(iii)
231
(iv)
228
(v)
230
Question
8
8.
If a : b =
2
:
8
and b : c =
9
:
12
,
then a : b : c =
(i)
18
:
75
:
96
(ii)
18
:
72
:
96
(iii)
17
:
72
:
96
(iv)
18
:
70
:
96
(v)
19
:
72
:
96
Question
9
9.
Two numbers are in the ratio 2 : 4. If 14 is added to each number, the ratio becomes 2 : 3. Find the numbers.
(i)
16
:
32
(ii)
14
:
28
(iii)
10
:
20
(iv)
18
:
36
(v)
12
:
24
Question
10
10.
Find the ratio between 9 months and 4 years 2 months
(i)
8
:
50
(ii)
9
:
53
(iii)
9
:
50
(iv)
9
:
48
Question
11
11.
An office contains 310 managers, 124 team leaders, 248 developers and 372 testers. The ratio of managers to the total employees =
(i)
4
:
17
(ii)
5
:
20
(iii)
5
:
17
(iv)
6
:
17
(v)
5
:
14
Question
12
12.
An office contains 144 employees of 4 types. There are 16 managers, 32 team leaders and 16 developers. The number of testers in the office =
(i)
79
(ii)
82
(iii)
80
(iv)
77
(v)
81
Question
13
13.
Divide
₹121100
into three parts
such that the first one is
5
8
of the second
and ratio between second and the third is
9 : 7
(i)
₹
31500.00
:
₹
39200.00
:
₹
50400.00
(ii)
₹
50400.00
:
₹
39200.00
:
₹
31500.00
(iii)
₹
39200.00
:
₹
31500.00
:
₹
50400.00
(iv)
₹
31500.00
:
₹
50400.00
:
₹
39200.00
(v)
₹
31500.00
:
₹
50400.00
:
₹
50400.00
Question
14
14.
Find the third proportional of
18
and
6
(i)
18
(ii)
6
(iii)
36
(iv)
(-1)
(v)
2
Question
15
15.
Divide
₹28000
among A,B,C so that
A shall receive
9
11
of what B and C together recieve
and B may receive
1
9
of what A and C receive
(i)
₹
12600.00
:
₹
2800.00
:
₹
2800.00
(ii)
₹
2800.00
:
₹
12600.00
:
₹
12600.00
(iii)
₹
12600.00
:
₹
12600.00
:
₹
2800.00
(iv)
₹
12600.00
:
₹
2800.00
:
₹
12600.00
Question
16
16.
Find the mean proportional of
32
and
2
(i)
32
(ii)
64
(iii)
2
(iv)
8
(v)
5
Question
17
17.
The simplest form of
450
:
390
=
(i)
15
:
10
(ii)
15
:
13
(iii)
16
:
13
(iv)
450
:
393
(v)
14
:
13
Question
18
18.
What number must be added to each term of the ratio
18
:
72
to make it
16
:
19
?
(i)
267
(ii)
271
(iii)
270
(iv)
272
(v)
269
Question
19
19.
A box contains 90 pens and 45 pencils. The ratio of pens to the total stationary items =
(i)
2
:
3
(ii)
1
:
3
(iii)
2
:
5
(iv)
3
:
3
(v)
2
:
1
Question
20
20.
If a : b =
3
7
:
14
20
and b : c =
1
2
:
7
15
,
then a : b : c =
(i)
3
16
:
7
20
:
49
150
(ii)
3
14
:
1
4
:
49
150
(iii)
3
14
:
7
20
:
49
150
(iv)
3
14
:
9
20
:
49
150
(v)
1
4
:
7
20
:
49
150
Question
21
21.
Find the missing value in the equation
24
:
6
=
16
:
____
(i)
3
(ii)
5
(iii)
6
(iv)
4
(v)
1
Question
22
22.
A box contains 162 pens and 270 pencils. The ratio of all stationary items in the box =
(i)
2
:
5
(ii)
3
:
5
(iii)
3
:
7
(iv)
4
:
5
(v)
3
:
2
Question
23
23.
Find the missing value in the equation
____
:
1
=
40
:
4
(i)
8
(ii)
11
(iii)
9
(iv)
10
(v)
13
Question
24
24.
Increase
816
in the ratio
16 : 19
(i)
970
(ii)
968
(iii)
966
(iv)
969
(v)
971
Question
25
25.
If
5
A =
4
B =
6
C,
find A : B : C
(i)
12
:
12
:
10
(ii)
12
:
15
:
10
(iii)
12
:
17
:
10
(iv)
13
:
15
:
10
(v)
11
:
15
:
10
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (ii)
5) (iii)
6) (i)
7) (v)
8) (ii)
9) (ii)
10) (iii)
11) (iii)
12) (iii)
13) (iv)
14) (v)
15) (iv)
16) (iv)
17) (ii)
18) (iii)
19) (i)
20) (iii)
21) (iv)
22) (ii)
23) (iv)
24) (iv)
25) (ii)
