EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Ratio and Proportion
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
If
a
:
b
::
b
:
c
,
then '
c
' is called
(i)
first term
(ii)
second term
(iii)
mean proportional
(iv)
third proportional
Question
2
2.
Divide
₹20800
into three parts
such that the first one is
2
3
of the second
and ratio between second and the third is
2 : 1
(i)
₹
6400.00
:
₹
9600.00
:
₹
4800.00
(ii)
₹
4800.00
:
₹
6400.00
:
₹
9600.00
(iii)
₹
9600.00
:
₹
4800.00
:
₹
6400.00
(iv)
₹
6400.00
:
₹
4800.00
:
₹
9600.00
(v)
₹
6400.00
:
₹
9600.00
:
₹
9600.00
Question
3
3.
Divide 2280 in the ratio 15 : 13 : 12
(i)
855 , 744 , 684
(ii)
855 , 739 , 684
(iii)
855 , 741 , 684
(iv)
856 , 741 , 684
(v)
854 , 741 , 684
Question
4
4.
Find the mean proportional between
√
9
and
15
(i)
3
√
5
(ii)
15
(iii)
3
√
8
(iv)
3
√
3
(v)
3
4
√
5
Question
5
5.
If
a
:
b
::
c
:
d
,
then
(i)
ac = bd
(ii)
ad = bc
(iii)
abc = bcd
(iv)
ab = cd
Question
6
6.
Which of the following is true?
(i)
8
:
3
<
9
:
4
(ii)
5
:
3
<
9
:
7
(iii)
5
:
3
<
3
:
1
(iv)
8
:
3
<
7
:
4
(v)
9
:
7
>
9
:
4
Question
7
7.
The antecendent in the ratio
16
:
11
=
(i)
18
(ii)
16
(iii)
8
(iv)
11
(v)
15
Question
8
8.
Find the ratio between 3 months and 2 years 4 months
(i)
3
:
28
(ii)
3
:
31
(iii)
2
:
28
(iv)
3
:
26
Question
9
9.
Two numbers are in the ratio 3 : 1 and their difference is 48. Find the numbers.
(i)
73,24
(ii)
72,26
(iii)
72,21
(iv)
72,24
(v)
71,24
Question
10
10.
A certain amount has been divided into two parts in the ratio 7 : 8. If the first part is 168, find the total amount.
(i)
363
(ii)
360
(iii)
357
(iv)
359
(v)
361
Question
11
11.
Find the mean proportional of
27
and
3
(i)
3
(ii)
9
(iii)
81
(iv)
6
(v)
27
Question
12
12.
The simplest form of
270
:
648
=
(i)
270
:
651
(ii)
5
:
10
(iii)
5
:
12
(iv)
6
:
12
(v)
4
:
12
Question
13
13.
If a : b =
6
:
32
and b : c =
16
:
29
,
then a : b : c =
(i)
96
:
514
:
928
(ii)
96
:
512
:
928
(iii)
96
:
509
:
928
(iv)
95
:
512
:
928
(v)
97
:
512
:
928
Question
14
14.
Find the fourth proportional of
18
,
3
and
12
(i)
4
(ii)
0
(iii)
12
(iv)
3
(v)
2
Question
15
15.
Find the product of extremes of
11
6
:
9
7
and
17
5
:
19
6
(i)
211
36
(ii)
23
4
(iii)
153
35
(iv)
209
34
(v)
209
36
Question
16
16.
A bag contains ₹399 in the form of five-rupee, two-rupee and one-rupee coins in the ratio 6 : 11 : 5. Find the number of coins of each type
(i)
42 , 77 , 35
(ii)
40 , 82 , 35
(iii)
43 , 82 , 30
(iv)
41 , 77 , 40
(v)
44 , 72 , 35
Question
17
17.
Find the product of means of
16
:
14
and
20
:
4
(i)
279
(ii)
277
(iii)
283
(iv)
280
(v)
64
Question
18
18.
Find the product of means of
6
17
:
11
16
and
5
2
:
14
17
(i)
11
6
(ii)
55
32
(iii)
84
289
(iv)
53
32
(v)
57
32
Question
19
19.
Find the mean proportional of
5
and
80
(i)
22
(ii)
18
(iii)
19
(iv)
21
(v)
20
Question
20
20.
The consequent in the ratio
12
:
20
=
(i)
20
(ii)
10
(iii)
19
(iv)
23
(v)
12
Question
21
21.
A ratio is equal to 49 : 2. If its consequent is 550, what is its antecendent?
(i)
13475
(ii)
13474
(iii)
13476
(iv)
13477
(v)
13472
Question
22
22.
Find the missing value in the equation
24
:
6
=
24
:
____
(i)
6
(ii)
7
(iii)
4
(iv)
5
(v)
9
Question
23
23.
Find the third proportional of 81 and 9
(i)
2
(ii)
(-1)
(iii)
1
(iv)
0
(v)
3
Question
24
24.
If
a
:
b
::
b
:
c
,
then '
b
' is called
(i)
third proportional
(ii)
mean proportional
(iii)
first term
(iv)
fourth proportional
(v)
extreme
Question
25
25.
The fraction equivalent of the ratio
17
:
73
=
(i)
17
71
(ii)
17
73
(iii)
15
73
(iv)
19
73
(v)
73
17
Assignment Key
1) (iv)
2) (i)
3) (iii)
4) (i)
5) (ii)
6) (iii)
7) (ii)
8) (i)
9) (iv)
10) (ii)
11) (ii)
12) (iii)
13) (ii)
14) (v)
15) (v)
16) (i)
17) (iv)
18) (ii)
19) (v)
20) (i)
21) (i)
22) (i)
23) (iii)
24) (ii)
25) (ii)