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Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

Swathi had thrice as many marbles as Poongodi. After Swathi used up some marbles, the ratio becomes 4:3 respectively.
If Swathi is left with 80 marbles, how many marbles did she use up


Answer:_______________




2)  

Mithra had four times as many stickers as Ovini. After Mithra used up some stickers, the ratio becomes 3:2 respectively.
If Mithra is left with 60 stickers, how many stickers did she use up


Answer:_______________




3)  

Panimalar had twice as many stickers as Jeevini. After Panimalar used up some stickers, the ratio becomes 3:2 respectively.
If Panimalar is left with 84 stickers, how many stickers did she use up


Answer:_______________




4)  

Indra had thrice as many stickers as Ramani. After Indra used up some stickers, the ratio becomes 5:2 respectively.
If Indra is left with 45 stickers, how many stickers did she use up


Answer:_______________




5)  

Poongodi had twice as many marbles as Thamarai. After Poongodi used up some marbles, the ratio becomes 3:5 respectively.
If Poongodi is left with 27 marbles, how many marbles did she use up


Answer:_______________




6)  

Pavi had thrice as many marbles as Ponnalagu. After Pavi used up some marbles, the ratio becomes 4:3 respectively.
If Pavi is left with 60 marbles, how many marbles did she use up


Answer:_______________




7)  

Poovazhagi had four times as many stickers as Chellamal. After Poovazhagi used up some stickers, the ratio becomes 3:2 respectively.
If Poovazhagi is left with 21 stickers, how many stickers did she use up


Answer:_______________




8)  

Mithra had twice as many stickers as Indra. After Mithra used up some stickers, the ratio becomes 3:2 respectively.
If Mithra is left with 48 stickers, how many stickers did she use up


Answer:_______________




9)  

Pavi had thrice as many stickers as Kumutha. After Pavi used up some stickers, the ratio becomes 5:2 respectively.
If Pavi is left with 90 stickers, how many stickers did she use up


Answer:_______________




10)  

Haritha had twice as many marbles as Parveen. After Haritha used up some marbles, the ratio becomes 3:5 respectively.
If Haritha is left with 21 marbles, how many marbles did she use up


Answer:_______________




 

1)  

Swathi had thrice as many marbles as Poongodi. After Swathi used up some marbles, the ratio becomes 4:3 respectively.
If Swathi is left with 80 marbles, how many marbles did she use up

Answer: 100


SOLUTION 1 :

 

 

Before
Swathi : Poongodi

3 x 3

9

:

:

1 x 3

3
 
After
Swathi : Poongodi
4 : 3

 

Step 1:

   4 units  = 80

 

 1 unit  = ï»¿80 ÷ 4
     = 20
Step 2:   ï»¿9 - 4 = 5 units

Step 3:

 5 units = ï»¿20 x 5

 

     = ï»¿100
     

 

 



2)  

Mithra had four times as many stickers as Ovini. After Mithra used up some stickers, the ratio becomes 3:2 respectively.
If Mithra is left with 60 stickers, how many stickers did she use up

Answer: 100


SOLUTION 1 :

 

 

Before
Mithra : Ovini

2x 4

8

:

:

1 x 2

2
 
After
Mithra : Ovini
3 : 2

 

Step 1:

   3 units  = 60

 

 1 unit  = ï»¿60 ÷ 3
     = 20
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿20 x 5

 

     = ï»¿100
     

 

 



3)  

Panimalar had twice as many stickers as Jeevini. After Panimalar used up some stickers, the ratio becomes 3:2 respectively.
If Panimalar is left with 84 stickers, how many stickers did she use up

Answer: 28


SOLUTION 1 :

                          K:J                                   K:J
Before:               2:1        After:                  3:2
New (before):     4:2      

3 units = 84

1 unit = 84 ÷ 3

          = 28

Answer: 28


SOLUTION 2 :

 

 

Before
Panimalar : Jeevini

2 x 2

4

:

:

1 x 2

2
 
After
Panimalar : Jeevini
3 : 2

 

Step 1:

   3 units  = 84

 

 1 unit  = ï»¿84 ÷ 3
     = 28
    = 28

 

    

 

      
     

 

 



4)  

Indra had thrice as many stickers as Ramani. After Indra used up some stickers, the ratio becomes 5:2 respectively.
If Indra is left with 45 stickers, how many stickers did she use up

Answer: 9


SOLUTION 1 :

 

 

Before
Indra : Ramani

2 x 3

6

:

:

1 x 2

2
 
After
Indra : Ramani
5 : 2

 

Step 1:

   5 units  = 45

 

 1 unit  = ï»¿45 ÷ 5
     = 9
   = 9

 

  

 

      
     

 

 



5)  

Poongodi had twice as many marbles as Thamarai. After Poongodi used up some marbles, the ratio becomes 3:5 respectively.
If Poongodi is left with 27 marbles, how many marbles did she use up

Answer: 63


SOLUTION 1 :

 

 

Before
Poongodi : Thamarai

2 x 5

10

:

:

1 x 5

5
 
After
Poongodi : Thamarai
3 : 5

 

Step 1:

   3 units  = 27

Step 2:

   1 unit  = ï»¿27 ÷ 3
     = 9
     

Step 3:

 7 units = 9 x 7

 

     = ï»¿63
     

 

 


SOLUTION 2 :

 

 

Before
Poongodi : Thamarai

2 x 5

10

:

:

1 x 5

5
 
After
Poongodi : Thamarai
3 : 5

 

Step 1:

   3 units  = 27

Step 2:

   1 unit  = ï»¿27 ÷ 3
     = 9
     

Step 3:

 7 units = 9 x 7

 

     = ï»¿63
     

 

 



6)  

Pavi had thrice as many marbles as Ponnalagu. After Pavi used up some marbles, the ratio becomes 4:3 respectively.
If Pavi is left with 60 marbles, how many marbles did she use up

Answer: 75


SOLUTION 1 :

 

 

Before
Pavi : Ponnalagu

3 x 3

9

:

:

1 x 3

3
 
After
Pavi : Ponnalagu
4 : 3

 

Step 1:

   4 units  = 60

 

 1 unit  = ï»¿60 ÷ 4
     = 15
Step 2:   ï»¿9 - 4 = 5 units

Step 3:

 5 units = ï»¿15 x 5

 

     = ï»¿75
     

 

 



7)  

Poovazhagi had four times as many stickers as Chellamal. After Poovazhagi used up some stickers, the ratio becomes 3:2 respectively.
If Poovazhagi is left with 21 stickers, how many stickers did she use up

Answer: 35


SOLUTION 1 :

 

 

Before
Poovazhagi : Chellamal

2x 4

8

:

:

1 x 2

2
 
After
Poovazhagi : Chellamal
3 : 2

 

Step 1:

   3 units  = 21

 

 1 unit  = ï»¿21 ÷ 3
     = 7
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿7 x 5

 

     = ï»¿35
     

 

 



8)  

Mithra had twice as many stickers as Indra. After Mithra used up some stickers, the ratio becomes 3:2 respectively.
If Mithra is left with 48 stickers, how many stickers did she use up

Answer: 16


SOLUTION 1 :

                          K:J                                   K:J
Before:               2:1        After:                  3:2
New (before):     4:2      

3 units = 48

1 unit = 48 ÷ 3

          = 16

Answer: 16


SOLUTION 2 :

 

 

Before
Mithra : Indra

2 x 2

4

:

:

1 x 2

2
 
After
Mithra : Indra
3 : 2

 

Step 1:

   3 units  = 48

 

 1 unit  = ï»¿48 ÷ 3
     = 16
    = 16

 

    

 

      
     

 

 



9)  

Pavi had thrice as many stickers as Kumutha. After Pavi used up some stickers, the ratio becomes 5:2 respectively.
If Pavi is left with 90 stickers, how many stickers did she use up

Answer: 18


SOLUTION 1 :

 

 

Before
Pavi : Kumutha

2 x 3

6

:

:

1 x 2

2
 
After
Pavi : Kumutha
5 : 2

 

Step 1:

   5 units  = 90

 

 1 unit  = ï»¿90 ÷ 5
     = 18
   = 18

 

  

 

      
     

 

 



10)  

Haritha had twice as many marbles as Parveen. After Haritha used up some marbles, the ratio becomes 3:5 respectively.
If Haritha is left with 21 marbles, how many marbles did she use up

Answer: 49


SOLUTION 1 :

 

 

Before
Haritha : Parveen

2 x 5

10

:

:

1 x 5

5
 
After
Haritha : Parveen
3 : 5

 

Step 1:

   3 units  = 21

Step 2:

   1 unit  = ï»¿21 ÷ 3
     = 7
     

Step 3:

 7 units = 7 x 7

 

     = ï»¿49
     

 

 


SOLUTION 2 :

 

 

Before
Haritha : Parveen

2 x 5

10

:

:

1 x 5

5
 
After
Haritha : Parveen
3 : 5

 

Step 1:

   3 units  = 21

Step 2:

   1 unit  = ï»¿21 ÷ 3
     = 7
     

Step 3:

 7 units = 7 x 7

 

     = ï»¿49