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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)  

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


Answer:_______________




2)  

Parveen had four times as many stickers as Tulasi. After Parveen used up some stickers, the ratio becomes 3:2 respectively.
If Parveen is left with 75 stickers, how many stickers did she use up


Answer:_______________




3)  

Pavi had twice as many stickers as Kumutha. After Pavi used up some stickers, the ratio becomes 3:2 respectively.
If Pavi is left with 27 stickers, how many stickers did she use up


Answer:_______________




4)  

Swathi had thrice as many marbles as Panimalar. After Swathi used up some marbles, the ratio becomes 4:3 respectively.
If Swathi is left with 36 marbles, how many marbles did she use up


Answer:_______________




5)  

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


Answer:_______________




6)  

Tulasi had thrice as many stickers as Nandini. After Tulasi used up some stickers, the ratio becomes 5:2 respectively.
If Tulasi is left with 60 stickers, how many stickers did she use up


Answer:_______________




7)  

Pavi had four times as many stickers as Chithra. After Pavi used up some stickers, the ratio becomes 3:2 respectively.
If Pavi is left with 45 stickers, how many stickers did she use up


Answer:_______________




8)  

Selvanayaki had twice as many stickers as Tamilselvi. After Selvanayaki used up some stickers, the ratio becomes 3:2 respectively.
If Selvanayaki is left with 81 stickers, how many stickers did she use up


Answer:_______________




9)  

Ovini had thrice as many marbles as Amutha. After Ovini used up some marbles, the ratio becomes 4:3 respectively.
If Ovini is left with 64 marbles, how many marbles did she use up


Answer:_______________




10)  

Ovini had twice as many marbles as Poongodi. After Ovini used up some marbles, the ratio becomes 3:5 respectively.
If Ovini is left with 54 marbles, how many marbles did she use up


Answer:_______________




 

1)  

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

Answer: 9


SOLUTION 1 :

 

 

Before
Savithri : Swathi

2 x 3

6

:

:

x 2

2

 
After
Savithri : Swathi
5 : 2

 

Step 1:

  5 units  = 45

 

1 unit  = ï»¿45 ÷ 5
     = 9
   = 9

 

  

 

     
     

 

 



2)  

Parveen had four times as many stickers as Tulasi. After Parveen used up some stickers, the ratio becomes 3:2 respectively.
If Parveen is left with 75 stickers, how many stickers did she use up

Answer: 125


SOLUTION 1 :

 

 

Before
Parveen : Tulasi

2x 4

8

:

:

x 2

2

 
After
Parveen : Tulasi
3 : 2

 

Step 1:

  3 units  = 75

 

1 unit  = ï»¿75 ÷ 3
     = 25
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

5 units = ï»¿25 x 5

 

    = ï»¿125
     

 

 



3)  

Pavi had twice as many stickers as Kumutha. After Pavi used up some stickers, the ratio becomes 3:2 respectively.
If Pavi is left with 27 stickers, how many stickers did she use up

Answer: 9


SOLUTION 1 :

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

3 units = 27

1 unit = 27 ÷ 3

          = 9

Answer: 9


SOLUTION 2 :

 

 

Before
Pavi : Kumutha

2 x 2

4

:

:

x 2

2

 
After
Pavi : Kumutha
3 : 2

 

Step 1:

  3 units  = 27

 

1 unit  = ï»¿27 ÷ 3
     = 9
    = 9

 

   

 

     
     

 

 



4)  

Swathi had thrice as many marbles as Panimalar. After Swathi used up some marbles, the ratio becomes 4:3 respectively.
If Swathi is left with 36 marbles, how many marbles did she use up

Answer: 45


SOLUTION 1 :

 

 

Before
Swathi : Panimalar

3 x 3

9

:

:

1 x 3

3

 
After
Swathi : Panimalar
4 : 3

 

Step 1:

  4 units  = 36

 

1 unit  = ï»¿36 ÷ 4
     = 9
Step 2:   ï»¿9 - 4 = 5 units

Step 3:

5 units = ï»¿9 x 5

 

    = ï»¿45
     

 

 



5)  

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

Answer: 49


SOLUTION 1 :

 

 

Before
Chellamal : Savithri

2 x 5

10

:

:

1 x 5

5

 
After
Chellamal : Savithri
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
Chellamal : Savithri

2 x 5

10

:

:

1 x 5

5

 
After
Chellamal : Savithri
3 : 5

 

Step 1:

  3 units  = 21

Step 2:

  1 unit  = ï»¿21 ÷ 3
     = 7
     

Step 3:

7 units = 7 x 7

 

    = ï»¿49
     

 

 



6)  

Tulasi had thrice as many stickers as Nandini. After Tulasi used up some stickers, the ratio becomes 5:2 respectively.
If Tulasi is left with 60 stickers, how many stickers did she use up

Answer: 12


SOLUTION 1 :

 

 

Before
Tulasi : Nandini

2 x 3

6

:

:

x 2

2

 
After
Tulasi : Nandini
5 : 2

 

Step 1:

  5 units  = 60

 

1 unit  = ï»¿60 ÷ 5
     = 12
   = 12

 

  

 

     
     

 

 



7)  

Pavi had four times as many stickers as Chithra. After Pavi used up some stickers, the ratio becomes 3:2 respectively.
If Pavi is left with 45 stickers, how many stickers did she use up

Answer: 75


SOLUTION 1 :

 

 

Before
Pavi : Chithra

2x 4

8

:

:

x 2

2

 
After
Pavi : Chithra
3 : 2

 

Step 1:

  3 units  = 45

 

1 unit  = ï»¿45 ÷ 3
     = 15
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

5 units = ï»¿15 x 5

 

    = ï»¿75
     

 

 



8)  

Selvanayaki had twice as many stickers as Tamilselvi. After Selvanayaki used up some stickers, the ratio becomes 3:2 respectively.
If Selvanayaki is left with 81 stickers, how many stickers did she use up

Answer: 27


SOLUTION 1 :

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

3 units = 81

1 unit = 81 ÷ 3

          = 27

Answer: 27


SOLUTION 2 :

 

 

Before
Selvanayaki : Tamilselvi

2 x 2

4

:

:

x 2

2

 
After
Selvanayaki : Tamilselvi
3 : 2

 

Step 1:

  3 units  = 81

 

1 unit  = ï»¿81 ÷ 3
     = 27
    = 27

 

   

 

     
     

 

 



9)  

Ovini had thrice as many marbles as Amutha. After Ovini used up some marbles, the ratio becomes 4:3 respectively.
If Ovini is left with 64 marbles, how many marbles did she use up

Answer: 80


SOLUTION 1 :

 

 

Before
Ovini : Amutha

3 x 3

9

:

:

1 x 3

3

 
After
Ovini : Amutha
4 : 3

 

Step 1:

  4 units  = 64

 

1 unit  = ï»¿64 ÷ 4
     = 16
Step 2:   ï»¿9 - 4 = 5 units

Step 3:

5 units = ï»¿16 x 5

 

    = ï»¿80
     

 

 



10)  

Ovini had twice as many marbles as Poongodi. After Ovini used up some marbles, the ratio becomes 3:5 respectively.
If Ovini is left with 54 marbles, how many marbles did she use up

Answer: 126


SOLUTION 1 :

 

 

Before
Ovini : Poongodi

2 x 5

10

:

:

1 x 5

5

 
After
Ovini : Poongodi
3 : 5

 

Step 1:

  3 units  = 54

Step 2:

  1 unit  = ï»¿54 ÷ 3
     = 18
     

Step 3:

7 units = 18 x 7

 

    = ï»¿126
     

 

 


SOLUTION 2 :

 

 

Before
Ovini : Poongodi

2 x 5

10

:

:

1 x 5

5

 
After
Ovini : Poongodi
3 : 5

 

Step 1:

  3 units  = 54

Step 2:

  1 unit  = ï»¿54 ÷ 3
     = 18
     

Step 3:

7 units = 18 x 7

 

    = ï»¿126