EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Ratio
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Divide 990 in the ratio
9
5
:
5
6
:
2
3
(i)
541 , 250 , 200
(ii)
540 , 250 , 200
(iii)
539 , 250 , 200
(iv)
540 , 248 , 200
(v)
540 , 252 , 200
Question
2
2.
The antecendent in the ratio
10
9
:
9
4
=
(i)
10
7
(ii)
4
3
(iii)
7
4
(iv)
10
9
(v)
9
4
Question
3
3.
A bag contains ₹476 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 9 : 7 : 9. Find the number of coins of each type
(i)
61 , 54 , 63
(ii)
62 , 49 , 68
(iii)
64 , 54 , 58
(iv)
63 , 49 , 63
(v)
65 , 44 , 63
Question
4
4.
If a : b =
1
:
15
and b : c =
3
:
9
,
then a : b : c =
(i)
3
:
45
:
135
(ii)
4
:
45
:
135
(iii)
2
:
45
:
135
(iv)
3
:
42
:
135
(v)
3
:
48
:
135
Question
5
5.
Divide 6600 in the ratio 17 : 12 : 8 : 18
(i)
2039 , 1440 , 960 , 2160
(ii)
2040 , 1440 , 960 , 2160
(iii)
2041 , 1440 , 960 , 2160
(iv)
2040 , 1438 , 960 , 2160
(v)
2040 , 1442 , 960 , 2160
Question
6
6.
The consequent in the ratio
14
:
17
=
(i)
12
(ii)
16
(iii)
17
(iv)
20
(v)
14
Question
7
7.
If
(
42
x
2
−
53
x
y
+
15
y
2
)
=
0
, find x : y
(i)
5 : 6
or
3 : 7
(ii)
5 : 6
or
2 : 7
(iii)
6 : 6
or
3 : 7
(iv)
5 : 6
or
3 : 9
(v)
4 : 6
or
3 : 7
Question
8
8.
Find the product of means of
11
5
:
13
14
and
9
7
:
17
19
(i)
115
98
(ii)
117
98
(iii)
39
32
(iv)
17
14
(v)
187
95
Question
9
9.
Find the ratio between 3 months and 5 years
(i)
0
:
20
(ii)
1
:
20
(iii)
1
:
22
(iv)
1
:
17
Question
10
10.
Which of the ratios is proportional to 24 : 6?
(i)
7
:
2
(ii)
8
:
2
(iii)
8
:
0
(iv)
8
:
4
(v)
9
:
2
Question
11
11.
The inverse ratio of
13
:
8
=
(i)
7
:
13
(ii)
78
:
48
(iii)
13
:
11
(iv)
13
:
5
(v)
8
:
13
Question
12
12.
Find the missing value in the equation
____
:
5
=
32
:
8
(i)
21
(ii)
20
(iii)
18
(iv)
22
(v)
19
Question
13
13.
If
(
−
2
x
+
2
y
)
=
(
3
x
−
4
y
)
, find the value of
(
2
x
+
3
y
)
(
2
x
−
3
y
)
(i)
-10
(ii)
-9
(iii)
-8
(iv)
-12
(v)
-7
Question
14
14.
Divide 5886 in the ratio
4
9
:
9
7
(i)
1513 , 4374
(ii)
1512 , 4377
(iii)
1512 , 4374
(iv)
1511 , 4374
(v)
1512 , 4372
Question
15
15.
Find the ratio between 32 min and 3 hr
(i)
8
:
48
(ii)
7
:
45
(iii)
8
:
42
(iv)
8
:
45
Question
16
16.
In an examination, the ratio of passes to failures was 5 : 2.
Had 25 less appeared and 15 less passed, the ratio of passes to failures would have been 77 : 30.
How many students appeared for the examination?
(i)
560
(ii)
570
(iii)
555
(iv)
550
(v)
565
Question
17
17.
Find the ratio between 8 gm and 10 kg
(i)
0
:
1250
(ii)
1
:
1253
(iii)
1
:
1247
(iv)
1
:
1250
Question
18
18.
What number must be added to each term of the ratio
24
:
48
to make it
11
:
12
?
(i)
239
(ii)
240
(iii)
241
(iv)
237
(v)
242
Question
19
19.
Find the sub-triplicate ratio of
f
:
b
(i)
f
3
:
b
3
(ii)
∛
f
:
∛
b
(iii)
√
f
:
√
b
(iv)
f
2
:
b
2
Question
20
20.
The ratio of two numbers is
5
:
4
and their LCM is 120. Find the numbers.
(i)
35
:
28
(ii)
25
:
20
(iii)
30
:
24
(iv)
40
:
32
(v)
20
:
16
Question
21
21.
The ascending order of
1
:
4
,
4
:
5
,
5
:
7
,
2
:
5
,
1
:
2
,
2
:
9
is
(i)
1
:
4
,
5
:
7
,
1
:
2
,
4
:
5
,
2
:
9
,
2
:
5
(ii)
4
:
5
,
1
:
4
,
5
:
7
,
2
:
5
,
1
:
2
,
2
:
9
(iii)
2
:
9
,
1
:
4
,
2
:
5
,
1
:
2
,
5
:
7
,
4
:
5
(iv)
5
:
7
,
1
:
4
,
4
:
5
,
2
:
5
,
1
:
2
,
2
:
9
(v)
2
:
5
,
4
:
5
,
2
:
9
,
5
:
7
,
1
:
4
,
1
:
2
Question
22
22.
Find the ratio between 3 m and 4 km
(i)
3
:
3998
(ii)
3
:
4002
(iii)
3
:
4000
(iv)
2
:
4000
Question
23
23.
The ages of A and B are in the ratio 3 : 4. 7 years hence, their ages will be in the ratio 7 : 9. Find their present ages.
(i)
42
:
56
(ii)
39
:
52
(iii)
48
:
64
(iv)
36
:
48
Question
24
24.
If a : b =
3
5
:
2
5
and b : c =
4
15
:
2
20
,
then a : b : c =
(i)
4
25
:
2
15
:
1
25
(ii)
4
25
:
8
75
:
1
25
(iii)
4
27
:
8
75
:
1
25
(iv)
4
25
:
2
25
:
1
25
(v)
4
23
:
8
75
:
1
25
Question
25
25.
Find the duplicate ratio of
h
:
a
(i)
∛
h
:
∛
a
(ii)
√
h
:
√
a
(iii)
h
3
:
a
3
(iv)
h
2
:
a
2
Assignment Key
1) (ii)
2) (iv)
3) (iv)
4) (i)
5) (ii)
6) (iii)
7) (i)
8) (ii)
9) (ii)
10) (ii)
11) (v)
12) (ii)
13) (ii)
14) (iii)
15) (iv)
16) (i)
17) (iv)
18) (ii)
19) (ii)
20) (iii)
21) (iii)
22) (iii)
23) (i)
24) (ii)
25) (iv)