This is an initial attempt by my students of B.Ed. in creating Programmed Instructional material using the template I had provided them. Your observations and suggestions are welcome!

1. Topic - RATIO
Class - 6th
Age – 13 -15
Let’s start module
1
Programmed Instructional material

2. Objectives
At 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
2

3. RATIO
Ratio 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 Next Slide…
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4. 2) Duplicate ratio:- This is the ratio of the squares
of two numbers . For example –
Duplicate ratio of 3:4 = 3² : 4²
= 9 : 16
3) Sub-duplicate ratio:- This is the ratio of the
square roots of two numbers . For example –
Sub-duplicate ratio of√ 9 :√ 16 = 3:4
4) Triplicate ratio:- This is the ratio of cubes of two
numbers . For example –
Triplicate ratio of 2:3 = 2³ : 3³
= 8 : 27
Next Slide…
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5. 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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6. Q1:
- Ratio
- Proportion
- Integer
- Numbers
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...-.....compares two or more things of
same kind ?

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Hint!
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Hint!
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FOR EXAMPLES :-
Ratio – 5:7 , p:q
Proportion – p:q::r:s
Integers -1,2,5,-6
Numbers -4,6,8,9

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10. Q2:-
- Constant
- Variable
- Antecedent
- Consequent
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In the ratio a:b . a is called as the
..........

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Hint!
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Hint!
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Constant are numbers like 5,1
Variables are like x , y
Antecedent is the first term
Consequent is the second term

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14. Q3:-
Compounded ratio
Duplicate ratio
Sub-duplicate ratio
Triplicate ratio
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......... is the ratio of squares of two
numbers ?

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Hint!
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Hint!
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FOR EXAMPLES ;
Compounded ratio= 2:3 and 4:5
=2×4 /3×5=8/15
Duplicate ratio=3²:9²=9:81
Triplicate ratio=2³:3³=8:27
Sub duplicate ratio=√9 : √16

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18. Q4:-
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Triplicate ratio of 6 and 7 is……..
49:36
36:49
127:216
216:343

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Hint!
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Hint!
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TRIPLICATE RATIO MEANS
CUBES OF TWO NUMBERS

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22. Q5:
³√64 : ³√27
√25 : ³√216
5 : 8
64 : 27
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- From the following which one is a
form of sub-triplicate ratio ?

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Hint!
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24. Oops! Wrong Answer
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Hint!
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SUB-TRIPLICATE RATIO
MEANS CUBE ROOTS
OF TW O NUMBERS

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26. Congratulations you have Scored
50/50 marks!
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