programed instructional material: ratio

1

Topic - RATIOClass - 6th Age – 13 -15

Let’s start module

Programmed Instructional material

2

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

3

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

Next Slide…

4

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

Next Slide…

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

6

Q1:

- Ratio

- Proportion

- Integer

- Numbers

B

C

D

A

...-.....compares two or more things of same kind ?

7

Oops! Wrong Answer

Click Here to attempt the question again

Hint!

8

Oops! Wrong Answer

Click Here to attempt the question again

Hint!

FOR EXAMPLES :-Ratio – 5:7 , p:qProportion – p:q::r:sIntegers -1,2,5,-6Numbers -4,6,8,9

9

Congratulations you have selected Right Answer!

Click Here to go the next question…..

10

Q2:-

- Constant

- Variable

- Antecedent

- Consequent

B

C

D

A

In the ratio a:b . a is called as the ..........

11

Oops! Wrong Answer

Click Here to attempt the question again

Hint!

12

Oops! Wrong Answer

Click Here to attempt the question again

Hint!

Constant are numbers like 5,1Variables are like x , yAntecedent is the first termConsequent is the second term

13

Congratulations you have selected Right Answer!

Click Here to go the next question …

14

Q3:-

Compounded ratioDuplicate ratioSub-duplicate ratioTriplicate ratio

B

C

D

A

......... is the ratio of squares of two numbers ?

15

Oops! Wrong Answer

Click Here to attempt the question again

Hint!

16

Oops! Wrong Answer

Click Here to attempt the question again

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

17

Congratulations you have selected Right Answer!

Click Here to go the next question ..…

18

Q4:-

B

C

D

A

Triplicate ratio of 6 and 7 is……..

49:3636:49127:216216:343

19

Oops! Wrong Answer

Click Here to attempt the question again

Hint!

20

Oops! Wrong Answer

Click Here to attempt the question again

Hint!

TRIPLICATE RATIO MEANS CUBES OF TWO NUMBERS

21

Congratulations you have selected Right Answer!

Click Here to go the next question ..…

22

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 ?

23

Oops! Wrong Answer

Click Here to attempt the question again

Hint!

24

Oops! Wrong Answer

Click Here to attempt the question again

Hint!

SUB-TRIPLICATE RATIO MEANS CUBE ROOTS OF TW O NUMBERS

25

Congratulations you have selected Right Answer!

Click Here to know your scores…..

26

Congratulations you have Scored 50/50 marks!