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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)  

Keerthi had thrice as many marbles as Ramani. After Keerthi used up some marbles, the ratio becomes 4:3 respectively.
If Keerthi is left with 44 marbles, how many marbles did she use up


Answer:_______________




2)  

Selvanayaki had twice as many stickers as Ponnalagu. After Selvanayaki used up some stickers, the ratio becomes 3:2 respectively.
If Selvanayaki is left with 42 stickers, how many stickers did she use up


Answer:_______________




3)  

Selvanayaki had twice as many marbles as Chithra. After Selvanayaki used up some marbles, the ratio becomes 3:5 respectively.
If Selvanayaki is left with 72 marbles, how many marbles did she use up


Answer:_______________




4)  

Chithra had thrice as many stickers as Amutha. After Chithra used up some stickers, the ratio becomes 5:2 respectively.
If Chithra is left with 85 stickers, how many stickers did she use up


Answer:_______________




5)  

Tamilselvi had four times as many stickers as Ramani. After Tamilselvi used up some stickers, the ratio becomes 3:2 respectively.
If Tamilselvi is left with 54 stickers, how many stickers did she use up


Answer:_______________




6)  

Chithra had thrice as many marbles as Amutha. After Chithra used up some marbles, the ratio becomes 4:3 respectively.
If Chithra is left with 52 marbles, how many marbles did she use up


Answer:_______________




7)  

Thamarai had twice as many stickers as Ovini. After Thamarai used up some stickers, the ratio becomes 3:2 respectively.
If Thamarai is left with 30 stickers, how many stickers did she use up


Answer:_______________




8)  

Keerthi had twice as many marbles as Poongodi. After Keerthi used up some marbles, the ratio becomes 3:5 respectively.
If Keerthi is left with 48 marbles, how many marbles did she use up


Answer:_______________




9)  

Thamarai had thrice as many stickers as Poovazhagi. After Thamarai used up some stickers, the ratio becomes 5:2 respectively.
If Thamarai is left with 55 stickers, how many stickers did she use up


Answer:_______________




10)  

Selvanayaki had four times as many stickers as Kumutha. After Selvanayaki used up some stickers, the ratio becomes 3:2 respectively.
If Selvanayaki is left with 42 stickers, how many stickers did she use up


Answer:_______________




 

1)  

Keerthi had thrice as many marbles as Ramani. After Keerthi used up some marbles, the ratio becomes 4:3 respectively.
If Keerthi is left with 44 marbles, how many marbles did she use up

Answer: 55


SOLUTION 1 :

 

 

Before
Keerthi : Ramani

3 x 3

9

:

:

1 x 3

3
 
After
Keerthi : Ramani
4 : 3

 

Step 1:

   4 units  = 44

 

 1 unit  = ï»¿44 ÷ 4
     = 11
Step 2:   ï»¿9 - 4 = 5 units

Step 3:

 5 units = ï»¿11 x 5

 

     = ï»¿55
     

 

 



2)  

Selvanayaki had twice as many stickers as Ponnalagu. After Selvanayaki used up some stickers, the ratio becomes 3:2 respectively.
If Selvanayaki is left with 42 stickers, how many stickers did she use up

Answer: 14


SOLUTION 1 :

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

3 units = 42

1 unit = 42 ÷ 3

          = 14

Answer: 14


SOLUTION 2 :

 

 

Before
Selvanayaki : Ponnalagu

2 x 2

4

:

:

1 x 2

2
 
After
Selvanayaki : Ponnalagu
3 : 2

 

Step 1:

   3 units  = 42

 

 1 unit  = ï»¿42 ÷ 3
     = 14
    = 14

 

    

 

      
     

 

 



3)  

Selvanayaki had twice as many marbles as Chithra. After Selvanayaki used up some marbles, the ratio becomes 3:5 respectively.
If Selvanayaki is left with 72 marbles, how many marbles did she use up

Answer: 168


SOLUTION 1 :

 

 

Before
Selvanayaki : Chithra

2 x 5

10

:

:

1 x 5

5
 
After
Selvanayaki : Chithra
3 : 5

 

Step 1:

   3 units  = 72

Step 2:

   1 unit  = ï»¿72 ÷ 3
     = 24
     

Step 3:

 7 units = 24 x 7

 

     = ï»¿168
     

 

 


SOLUTION 2 :

 

 

Before
Selvanayaki : Chithra

2 x 5

10

:

:

1 x 5

5
 
After
Selvanayaki : Chithra
3 : 5

 

Step 1:

   3 units  = 72

Step 2:

   1 unit  = ï»¿72 ÷ 3
     = 24
     

Step 3:

 7 units = 24 x 7

 

     = ï»¿168
     

 

 



4)  

Chithra had thrice as many stickers as Amutha. After Chithra used up some stickers, the ratio becomes 5:2 respectively.
If Chithra is left with 85 stickers, how many stickers did she use up

Answer: 17


SOLUTION 1 :

 

 

Before
Chithra : Amutha

2 x 3

6

:

:

1 x 2

2
 
After
Chithra : Amutha
5 : 2

 

Step 1:

   5 units  = 85

 

 1 unit  = ï»¿85 ÷ 5
     = 17
   = 17

 

  

 

      
     

 

 



5)  

Tamilselvi had four times as many stickers as Ramani. After Tamilselvi used up some stickers, the ratio becomes 3:2 respectively.
If Tamilselvi is left with 54 stickers, how many stickers did she use up

Answer: 90


SOLUTION 1 :

 

 

Before
Tamilselvi : Ramani

2x 4

8

:

:

1 x 2

2
 
After
Tamilselvi : Ramani
3 : 2

 

Step 1:

   3 units  = 54

 

 1 unit  = ï»¿54 ÷ 3
     = 18
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿18 x 5

 

     = ï»¿90
     

 

 



6)  

Chithra had thrice as many marbles as Amutha. After Chithra used up some marbles, the ratio becomes 4:3 respectively.
If Chithra is left with 52 marbles, how many marbles did she use up

Answer: 65


SOLUTION 1 :

 

 

Before
Chithra : Amutha

3 x 3

9

:

:

1 x 3

3
 
After
Chithra : Amutha
4 : 3

 

Step 1:

   4 units  = 52

 

 1 unit  = ï»¿52 ÷ 4
     = 13
Step 2:   ï»¿9 - 4 = 5 units

Step 3:

 5 units = ï»¿13 x 5

 

     = ï»¿65
     

 

 



7)  

Thamarai had twice as many stickers as Ovini. After Thamarai used up some stickers, the ratio becomes 3:2 respectively.
If Thamarai is left with 30 stickers, how many stickers did she use up

Answer: 10


SOLUTION 1 :

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

3 units = 30

1 unit = 30 ÷ 3

          = 10

Answer: 10


SOLUTION 2 :

 

 

Before
Thamarai : Ovini

2 x 2

4

:

:

1 x 2

2
 
After
Thamarai : Ovini
3 : 2

 

Step 1:

   3 units  = 30

 

 1 unit  = ï»¿30 ÷ 3
     = 10
    = 10

 

    

 

      
     

 

 



8)  

Keerthi had twice as many marbles as Poongodi. After Keerthi used up some marbles, the ratio becomes 3:5 respectively.
If Keerthi is left with 48 marbles, how many marbles did she use up

Answer: 112


SOLUTION 1 :

 

 

Before
Keerthi : Poongodi

2 x 5

10

:

:

1 x 5

5
 
After
Keerthi : Poongodi
3 : 5

 

Step 1:

   3 units  = 48

Step 2:

   1 unit  = ï»¿48 ÷ 3
     = 16
     

Step 3:

 7 units = 16 x 7

 

     = ï»¿112
     

 

 


SOLUTION 2 :

 

 

Before
Keerthi : Poongodi

2 x 5

10

:

:

1 x 5

5
 
After
Keerthi : Poongodi
3 : 5

 

Step 1:

   3 units  = 48

Step 2:

   1 unit  = ï»¿48 ÷ 3
     = 16
     

Step 3:

 7 units = 16 x 7

 

     = ï»¿112
     

 

 



9)  

Thamarai had thrice as many stickers as Poovazhagi. After Thamarai used up some stickers, the ratio becomes 5:2 respectively.
If Thamarai is left with 55 stickers, how many stickers did she use up

Answer: 11


SOLUTION 1 :

 

 

Before
Thamarai : Poovazhagi

2 x 3

6

:

:

1 x 2

2
 
After
Thamarai : Poovazhagi
5 : 2

 

Step 1:

   5 units  = 55

 

 1 unit  = ï»¿55 ÷ 5
     = 11
   = 11

 

  

 

      
     

 

 



10)  

Selvanayaki had four times as many stickers as Kumutha. After Selvanayaki used up some stickers, the ratio becomes 3:2 respectively.
If Selvanayaki is left with 42 stickers, how many stickers did she use up

Answer: 70


SOLUTION 1 :

 

 

Before
Selvanayaki : Kumutha

2x 4

8

:

:

1 x 2

2
 
After
Selvanayaki : Kumutha
3 : 2

 

Step 1:

   3 units  = 42

 

 1 unit  = ï»¿42 ÷ 3
     = 14
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿14 x 5

 

     = ï»¿70