EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Ratio
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the triplicate ratio of
i
:
u
(i)
∛
i
:
∛
u
(ii)
√
i
:
√
u
(iii)
i
2
:
u
2
(iv)
i
3
:
u
3
Question
2
2.
The antecendent in the ratio
18
:
4
=
(i)
4
(ii)
20
(iii)
18
(iv)
17
(v)
2
Question
3
3.
The consequent in the ratio
16
15
:
1
2
=
(i)
16
15
(ii)
1
2
(iii)
1
(iv)
3
2
(v)
14
15
Question
4
4.
If
(
24
x
2
−
83
x
y
+
63
y
2
)
=
0
, find x : y
(i)
10 : 8
or
7 : 3
(ii)
8 : 8
or
7 : 3
(iii)
9 : 8
or
7 : 3
(iv)
9 : 8
or
7 : 5
(v)
9 : 8
or
6 : 3
Question
5
5.
The fraction equivalent of the ratio
8
:
7
=
(i)
8
5
(ii)
8
7
(iii)
6
7
(iv)
7
8
(v)
10
7
Question
6
6.
The work done by (5x) men in (9x + 1) days and work done by (x + 1) men in (21x) days is in the ratio of 95 : 63 . Find the value of x
(i)
(-1)
(ii)
4
(iii)
1
(iv)
3
(v)
2
Question
7
7.
The consequent in the ratio
20
:
1
=
(i)
0
(ii)
20
(iii)
18
(iv)
1
(v)
3
Question
8
8.
Find the sub-duplicate of the given ratio
36
:
289
=
(i)
5
:
17
(ii)
7
:
17
(iii)
6
:
20
(iv)
6
:
17
(v)
6
:
14
Question
9
9.
Divide 312 in the ratio
9
4
:
1
4
:
1
2
(i)
234 , 26 , 52
(ii)
233 , 26 , 52
(iii)
234 , 24 , 52
(iv)
234 , 29 , 52
(v)
235 , 26 , 52
Question
10
10.
Find the sub-duplicate ratio of
y
:
s
(i)
y
3
:
s
3
(ii)
∛
y
:
∛
s
(iii)
√
y
:
√
s
(iv)
y
2
:
s
2
Question
11
11.
The ratio of two numbers is
4
:
3
and their LCM is 84. Find the numbers.
(i)
20
:
15
(ii)
36
:
27
(iii)
28
:
21
(iv)
24
:
18
(v)
32
:
24
Question
12
12.
Find the sub-triplicate of the given ratio
1
:
64
=
(i)
1
:
6
(ii)
0
:
4
(iii)
1
:
2
(iv)
2
:
4
(v)
1
:
4
Question
13
13.
The ratio equivalent of the fraction
10
3
=
(i)
9
:
3
(ii)
10
:
3
(iii)
10
:
1
(iv)
3
:
10
(v)
10
:
5
Question
14
14.
If a : b =
14
:
34
and b : c =
10
:
23
,
then a : b : c =
(i)
141
:
340
:
782
(ii)
140
:
340
:
782
(iii)
139
:
340
:
782
(iv)
140
:
343
:
782
(v)
140
:
337
:
782
Question
15
15.
The fraction equivalent of the ratio
71
:
47
=
(i)
73
47
(ii)
47
71
(iii)
69
47
(iv)
71
45
(v)
71
47
Question
16
16.
The ages of A and B are in the ratio 7 : 9. 5 years hence, their ages will be in the ratio 4 : 5. Find their present ages.
(i)
28
:
36
(ii)
21
:
27
(iii)
35
:
45
(iv)
49
:
63
Question
17
17.
If
(
−
3
x
−
y
)
=
(
4
x
−
4
y
)
, find the value of
(
−
x
−
3
y
)
(
−
x
+
3
y
)
(i)
-1
(ii)
(
-4
3
)
(iii)
(
-5
3
)
(iv)
-2
Question
18
18.
In a mixture of
153
litres,
the ratio of milk and water is
4 : 5
.
How much water must be added
to this mixture to make the ratio
68 : 121
?
(i)
37
(ii)
38
(iii)
36
(iv)
35
(v)
33
Question
19
19.
Find the missing value in the equation
12
:
3
=
____
:
2
(i)
11
(ii)
8
(iii)
6
(iv)
9
(v)
7
Question
20
20.
Find the ratio between 56 min and 42 hr
(i)
1
:
45
(ii)
0
:
45
(iii)
1
:
48
(iv)
1
:
43
Question
21
21.
If
A
8
=
B
6
=
C
4
,
find A : B : C
(i)
9
:
6
:
4
(ii)
7
:
6
:
4
(iii)
8
:
6
:
4
(iv)
8
:
4
:
4
(v)
8
:
8
:
4
Question
22
22.
Divide 31640 in the ratio 20 : 34 : 33 : 26
(i)
5599 , 9520 , 9240 , 7280
(ii)
5600 , 9517 , 9240 , 7280
(iii)
5601 , 9520 , 9240 , 7280
(iv)
5600 , 9522 , 9240 , 7280
(v)
5600 , 9520 , 9240 , 7280
Question
23
23.
If
(
2
x
+
41
)
:
27
is the duplicate ratio of
7
:
3
,
find the value of x
(i)
53
(ii)
51
(iii)
54
(iv)
52
(v)
55
Question
24
24.
A ratio is equal to 21 : 10. If its antecendent is 1890, what is its consequent?
(i)
901
(ii)
900
(iii)
899
(iv)
902
(v)
898
Question
25
25.
Find the product of means of
16
17
:
3
13
and
14
15
:
2
19
(i)
2
9
(ii)
32
323
(iii)
12
65
(iv)
14
65
(v)
16
65
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (iii)
5) (ii)
6) (v)
7) (iv)
8) (iv)
9) (i)
10) (iii)
11) (iii)
12) (v)
13) (ii)
14) (ii)
15) (v)
16) (iii)
17) (ii)
18) (iii)
19) (ii)
20) (i)
21) (iii)
22) (v)
23) (i)
24) (ii)
25) (iv)
