1) Express each of the given ratios in its simplest form:
a) 22:66
b) 1.5 : 2.5
c) 25/4.: 25/2
d) 40kg, 1 quintals
e) 10 paise, Rs1
f) 200m , 5km
g) 3 hours , one day
h) 6 months 4/3 years
i) 4/3:9/4:5/2
2) Divide 64cm long string into two parts in the ratio 5:3.
3) Rs720 is divided between x and y in the ratio 4:5. How many rupees will each get.
4) The angle of a triangle are in the ratio 3:2:7. Find each angle.
5) A rectangular field is 100 by 80m, Find the ratio of
a) length to its breadth
b) breadth to its perimeter.
6) The sum of three numbers , whose ratios are 10/3, 21/5, 49/8 is 4917. Find the numbers .
7) The ratio between two quantities is 3: 4. If the first is Rs810, find the second.
8) Two numbers are in the ratio 5:7. Their difference is 10. Find the numbers.
9) Two numbers in the ratio 10:11. Their sum is 168. Find the numbers.
10) A line is divided into two parts in the ratio 2.5 : 1.3. If the smaller one is 35.1 cm, find the length of the line.
11) In a class, the ratio of boys in the girls is 7 : 8. What part of the whole class are girls?
12) The population of a town is 180000, out of which males are 1/3 of the whole population. Find the number of females. Also, find the ratio of the number of females to the whole.
13) 10 grams of an alloy of metals A and B contains 7.5 gram of metal A and the rest is metal B. Find the ratio between
a) The weight of the metal A and B in the alloy.
b) The weight of metal B and the weight of alloy.
14) The ages of two boys A and B are 6 years 8 months and 7 years 4 months respectively . Divide Rs3150 in the ratio of their ages.
15) 3 persons start a business and spend Rs25000, Rs 15000 and Rs40000 respectively . Find the share of each out of a profit of Rs14400 in a year.
16) A plot of land, 600 sq. m in area, is divided between two persons such that the first person gets three-fifths of what the second gets. Find the share of each.
17) Two poles of different heights are standing vertically on a horizontal field. At a particular time, the ratio between the lengths of their shadows is 2:3. If the height of smaller pole is 7.5m, find the height of the other pole.
18) Two numbers are in the ratio 4:7. If the LCM is 168, find the numbers.
19) Rs300 is divided between A and B in such a way that A gets half of B. Find
a) the ratio between shares of A and B.
b) The share of A and the share of B
20) The ratio between two numbers is 5:9. Find the numbers, if their HCF is 16.
21) A bag contains Rs1600 in the form of Rs10 and Rs20. If the ratio between numbers of Rs10 and Rs20 notes is 2:3; find the total number of notes in all.
22) The ratio between the prices of a scooter and a refrigerator is 4:1, if the scooter' cost Rs 45000 more than the refrigerator, find the price of the refrigerator.
PROPORTION
1) Check whether the following quantities form a proportion or not:
a) 3x, 7x, 24 and 56
b) 0.8,3,2.4 and 9
c) 3/2, 13/4, 9/2, 39/4
d) 0.4, 0.5, 2.9 and 3.5
e) 5/2, 11/2, 3.0 and 6.0
2) Find the fourth proportional of:
a) 3, 12 and 4
b) 5, 9 and 45.
c) 2.1, 1.5 and 8.4.
d) 1/3, 2/5 and 8.4
e) 4 hours 40 minutes, 1 hour 10 minutes and 16 hours
3) Find the third proportional of:
a) 27 and 9
b) 2m 40cm and 40cm
c) 1.8 and 0.6
d) 1/7 and 3/14
e) 1.6 and 0.8
4) Find the mean proportional between:
a) 16 and 4
b) 3 and 27
c)!0.9 and 2.5
d) 0.6 and 9.6
e) 1/4 and 1/16
5) If A: B= 3 : 5 and B: C = 4 : 7 find A : B : C
6) If x: y= 2:3 and y: z =5:7, find x: y: z.
7) If m: n = 4:9 and n: s = 3: 7, find m: s
8) If P: Q= 1/2 : 1/3 and Q: R= 3/2 : 4/3, find P: R
9) if a: b= 5:4 and 2: x= 3:8, find the value of y.
10) Find the value of x when 2.5 :4= x: 7.5.
11) Show that 2, 12 and 72 are in continued proportion.
MULTIPLE CHOICE QUESTIONS
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