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Topic - RATIOClass - 6th Age – 13 -15
Let’s start module
Programmed Instructional material
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ObjectivesAt the end of this module you will be able - To know about the meaning of ratio To know about the types of ratio To know how to solve problems on ratio
Let’s start module
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RATIORatio compares two or more things of same kind . The
ratio of two quantities a and b in the same units , is the fraction a/b and we write it as a:b . In the ratio a:b , we call
a as the first term / antecedent b as the second term / consequent There are six types of ratios;1)compounded ratio :- When two or more ratios are
multiplied term wise . For example –compounded ratio of 2:3 and 4:5 are
=2×4/3×5 =8/15
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2) Duplicate ratio:- This is the ratio of the squares of two numbers . For example –
Duplicate ratio of 3:4 = 3² : 4² = 9 : 163) Sub-duplicate ratio:- This is the ratio of the square
roots of two numbers . For example – Sub-duplicate ratio of√ 9 :√ 16 = 3:44) Triplicate ratio:- This is the ratio of cubes of two
numbers . For example – Triplicate ratio of 2:3 = 2³ : 3³ = 8 : 27
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5) Sub-Triplicate ratio:- This is the ratio of cube roots of two numbers . For example:-sub-triplicate ratio of = ³√64: ³√27
= 4 : 3 6) Inverse ratio:- This is obtained when first
term and second term are mutually replaced . For example –
Inverse ratio of 3:7 = 7:3
Lets answer some questions
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Q1:
- Ratio
- Proportion
- Integer
- Numbers
B
C
D
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...-.....compares two or more things of same kind ?
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Hint!
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Hint!
FOR EXAMPLES :-Ratio – 5:7 , p:qProportion – p:q::r:sIntegers -1,2,5,-6Numbers -4,6,8,9
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Q2:-
- Constant
- Variable
- Antecedent
- Consequent
B
C
D
A
In the ratio a:b . a is called as the ..........
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Hint!
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Hint!
Constant are numbers like 5,1Variables are like x , yAntecedent is the first termConsequent is the second term
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Q3:-
Compounded ratioDuplicate ratioSub-duplicate ratioTriplicate ratio
B
C
D
A
......... is the ratio of squares of two numbers ?
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Hint!
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Hint!
FOR EXAMPLES ;Compounded ratio= 2:3 and 4:5 =2×4 /3×5=8/15Duplicate ratio=3²:9²=9:81Triplicate ratio=2³:3³=8:27Sub duplicate ratio=√9 : √16
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Q4:-
B
C
D
A
Triplicate ratio of 6 and 7 is……..
49:3636:49127:216216:343
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Hint!
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Hint!
TRIPLICATE RATIO MEANS CUBES OF TWO NUMBERS
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Q5:
³√64 : ³√27√25 : ³√2165 : 864 : 27
B
C
D
A
- From the following which one is a form of sub-triplicate ratio ?
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Hint!
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Hint!
SUB-TRIPLICATE RATIO MEANS CUBE ROOTS OF TW O NUMBERS
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Congratulations you have Scored 50/50 marks!
