Ratio and Proportion Worksheet





In this page ratio and proportion worksheet we are going to see some practice questions. For each questions you can find solution.

Questions

Solution

(1) Find the ratio between the following

(i) 7 paise and Rs.2.25

(ii) 8 months and 1 year 6 months

(iii) 2.4 meters and 80 cm

(iv) 1.5 kg and 75 gm

Solution

(2) Which is grater

(i) 5 : 3 or 9 : 7

(ii) 4 : 5 or 7 : 8

(iii) 4 : 7 or 11 : 16

Solution

(3) Arrange the ratios in the descending order

(i) 3 : 4, 5 : 8 and 13 : 16

(ii) 7 : 12 , 13 : 20 , 5 : 8 and 13 : 15

(iii) 11 : 14 , 17 : 21 , 6 : 7 and 4 : 3

Solution

(4) Arrange the ratios in ascending order

(i)  2 : 5 , 3 : 4 , 17 : 20 and 19 : 25

(ii) 8 : 13 , 9 : 11 , 13 : 16 and 15 : 19

(iii) 2 : 11 , 3 : 16 , 4 : 25 and 7 : 26

(Hint:Express each ratio as a decimal fraction and then compare)


Solution


Solution

(5) Find the compounded ratio of

(i) 3 : 5 and 2 : 7

(ii) 2 : 3 , 4 : 5 and 5 : 8


Solution

(6) Find the duplicate ratio of

(i)  √2 : 3

(ii)  5 : 6

(iii)  a : a^(3/2) 

(iv) (1/3) : (1/4)


Solution

(7) Find the triplicate ratio of

(i)   2 : 5

(ii)  2^(1/3) : 3^(1/3)

(iii) √a : √b

(iv) (1/5) : (1/7)


Solution

(8) Find sub duplicate ratio of

(i) 9 : 16

(ii) (1/25) : (1/36)


Solution

(9) Find the subtriplicate ratio of

(i)  27 : 125

(ii)  (64/x³) : (125/y³)

(iii) (1/216) : (1/343)


Solution

(10) Find the reciprocal ratio of

(i)  3/p : 2/q

(ii) (1/4) : (1/9)

Solution

(11) If  A : B = 6 : 7 and B : C = 8 : 9,find A : B : C

Solution

(12) If 6 A = 5 B = 3 C , find A : B : C

Solution

(13) If (3 x + 1) : (9 x  + 4) is the duplicate of 4 : 7, find the value of x

Solution

(14) If (7 x + 1) : (13 x + 8) is the triplicate of 4 : 5, find the value of x

Solution

(15) If a : b = 3 : 2 and b : c = 5 : 8,find  a: c and a : b : c .

Solution

(16) If x : y = 5 : 7 and y : z = 4 : 5, find x : z and x : y : z

Solution

(17) If x : y = 2 : 1 find (5 x + 8y) : (6 x – 7y)

Solution

(18) If p : q = 7 : 4 find (5 p – 3 q) : (7 p + 3 q)

Solution

(19) If (4 x + 5) : (3 x + 11) = 21 : 23,find x

Solution

(20) If a : b = 5 : 3, find (2 a + 5 b) : (a + 3 b)

ratio and proportion worksheet

Solution

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ratio and proportion worksheet ratio and proportion worksheet