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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)  

Tamilselvi had thrice as many marbles as Tulasi. After Tamilselvi used up some marbles, the ratio becomes 4:3 respectively.
If Tamilselvi is left with 88 marbles, how many marbles did she use up


Answer:_______________




2)  

Ponnalagu had twice as many marbles as Ramani. After Ponnalagu used up some marbles, the ratio becomes 3:5 respectively.
If Ponnalagu is left with 93 marbles, how many marbles did she use up


Answer:_______________




3)  

Tulasi had twice as many stickers as Ramani. After Tulasi used up some stickers, the ratio becomes 3:2 respectively.
If Tulasi is left with 57 stickers, how many stickers did she use up


Answer:_______________




4)  

Panimalar had thrice as many stickers as Mithra. After Panimalar used up some stickers, the ratio becomes 5:2 respectively.
If Panimalar is left with 75 stickers, how many stickers did she use up


Answer:_______________




5)  

Keerthi had four times as many stickers as Panimalar. After Keerthi used up some stickers, the ratio becomes 3:2 respectively.
If Keerthi is left with 48 stickers, how many stickers did she use up


Answer:_______________




6)  

Tamilselvi had thrice as many marbles as Ramani. After Tamilselvi used up some marbles, the ratio becomes 4:3 respectively.
If Tamilselvi is left with 24 marbles, how many marbles did she use up


Answer:_______________




7)  

Ponnalagu had twice as many marbles as Savithri. After Ponnalagu used up some marbles, the ratio becomes 3:5 respectively.
If Ponnalagu is left with 39 marbles, how many marbles did she use up


Answer:_______________




8)  

Ovini had twice as many stickers as Amutha. After Ovini used up some stickers, the ratio becomes 3:2 respectively.
If Ovini is left with 36 stickers, how many stickers did she use up


Answer:_______________




9)  

Ponnalagu had thrice as many stickers as Jeevini. After Ponnalagu used up some stickers, the ratio becomes 5:2 respectively.
If Ponnalagu is left with 35 stickers, how many stickers did she use up


Answer:_______________




10)  

Tamilselvi had four times as many stickers as Kumutha. After Tamilselvi used up some stickers, the ratio becomes 3:2 respectively.
If Tamilselvi is left with 84 stickers, how many stickers did she use up


Answer:_______________




 

1)  

Tamilselvi had thrice as many marbles as Tulasi. After Tamilselvi used up some marbles, the ratio becomes 4:3 respectively.
If Tamilselvi is left with 88 marbles, how many marbles did she use up

Answer: 110


SOLUTION 1 :

 

 

Before
Tamilselvi : Tulasi

3 x 3

9

:

:

1 x 3

3
 
After
Tamilselvi : Tulasi
4 : 3

 

Step 1:

   4 units  = 88

 

 1 unit  = ï»¿88 ÷ 4
     = 22
Step 2:   ï»¿9 - 4 = 5 units

Step 3:

 5 units = ï»¿22 x 5

 

     = ï»¿110
     

 

 



2)  

Ponnalagu had twice as many marbles as Ramani. After Ponnalagu used up some marbles, the ratio becomes 3:5 respectively.
If Ponnalagu is left with 93 marbles, how many marbles did she use up

Answer: 217


SOLUTION 1 :

 

 

Before
Ponnalagu : Ramani

2 x 5

10

:

:

1 x 5

5
 
After
Ponnalagu : Ramani
3 : 5

 

Step 1:

   3 units  = 93

Step 2:

   1 unit  = ï»¿93 ÷ 3
     = 31
     

Step 3:

 7 units = 31 x 7

 

     = ï»¿217
     

 

 


SOLUTION 2 :

 

 

Before
Ponnalagu : Ramani

2 x 5

10

:

:

1 x 5

5
 
After
Ponnalagu : Ramani
3 : 5

 

Step 1:

   3 units  = 93

Step 2:

   1 unit  = ï»¿93 ÷ 3
     = 31
     

Step 3:

 7 units = 31 x 7

 

     = ï»¿217
     

 

 



3)  

Tulasi had twice as many stickers as Ramani. After Tulasi used up some stickers, the ratio becomes 3:2 respectively.
If Tulasi is left with 57 stickers, how many stickers did she use up

Answer: 19


SOLUTION 1 :

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

3 units = 57

1 unit = 57 ÷ 3

          = 19

Answer: 19


SOLUTION 2 :

 

 

Before
Tulasi : Ramani

2 x 2

4

:

:

1 x 2

2
 
After
Tulasi : Ramani
3 : 2

 

Step 1:

   3 units  = 57

 

 1 unit  = ï»¿57 ÷ 3
     = 19
    = 19

 

    

 

      
     

 

 



4)  

Panimalar had thrice as many stickers as Mithra. After Panimalar used up some stickers, the ratio becomes 5:2 respectively.
If Panimalar is left with 75 stickers, how many stickers did she use up

Answer: 15


SOLUTION 1 :

 

 

Before
Panimalar : Mithra

2 x 3

6

:

:

1 x 2

2
 
After
Panimalar : Mithra
5 : 2

 

Step 1:

   5 units  = 75

 

 1 unit  = ï»¿75 ÷ 5
     = 15
   = 15

 

  

 

      
     

 

 



5)  

Keerthi had four times as many stickers as Panimalar. After Keerthi used up some stickers, the ratio becomes 3:2 respectively.
If Keerthi is left with 48 stickers, how many stickers did she use up

Answer: 80


SOLUTION 1 :

 

 

Before
Keerthi : Panimalar

2x 4

8

:

:

1 x 2

2
 
After
Keerthi : Panimalar
3 : 2

 

Step 1:

   3 units  = 48

 

 1 unit  = ï»¿48 ÷ 3
     = 16
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿16 x 5

 

     = ï»¿80
     

 

 



6)  

Tamilselvi had thrice as many marbles as Ramani. After Tamilselvi used up some marbles, the ratio becomes 4:3 respectively.
If Tamilselvi is left with 24 marbles, how many marbles did she use up

Answer: 30


SOLUTION 1 :

 

 

Before
Tamilselvi : Ramani

3 x 3

9

:

:

1 x 3

3
 
After
Tamilselvi : Ramani
4 : 3

 

Step 1:

   4 units  = 24

 

 1 unit  = ï»¿24 ÷ 4
     = 6
Step 2:   ï»¿9 - 4 = 5 units

Step 3:

 5 units = ï»¿6 x 5

 

     = ï»¿30
     

 

 



7)  

Ponnalagu had twice as many marbles as Savithri. After Ponnalagu used up some marbles, the ratio becomes 3:5 respectively.
If Ponnalagu is left with 39 marbles, how many marbles did she use up

Answer: 91


SOLUTION 1 :

 

 

Before
Ponnalagu : Savithri

2 x 5

10

:

:

1 x 5

5
 
After
Ponnalagu : Savithri
3 : 5

 

Step 1:

   3 units  = 39

Step 2:

   1 unit  = ï»¿39 ÷ 3
     = 13
     

Step 3:

 7 units = 13 x 7

 

     = ï»¿91
     

 

 


SOLUTION 2 :

 

 

Before
Ponnalagu : Savithri

2 x 5

10

:

:

1 x 5

5
 
After
Ponnalagu : Savithri
3 : 5

 

Step 1:

   3 units  = 39

Step 2:

   1 unit  = ï»¿39 ÷ 3
     = 13
     

Step 3:

 7 units = 13 x 7

 

     = ï»¿91
     

 

 



8)  

Ovini had twice as many stickers as Amutha. After Ovini used up some stickers, the ratio becomes 3:2 respectively.
If Ovini is left with 36 stickers, how many stickers did she use up

Answer: 12


SOLUTION 1 :

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

3 units = 36

1 unit = 36 ÷ 3

          = 12

Answer: 12


SOLUTION 2 :

 

 

Before
Ovini : Amutha

2 x 2

4

:

:

1 x 2

2
 
After
Ovini : Amutha
3 : 2

 

Step 1:

   3 units  = 36

 

 1 unit  = ï»¿36 ÷ 3
     = 12
    = 12

 

    

 

      
     

 

 



9)  

Ponnalagu had thrice as many stickers as Jeevini. After Ponnalagu used up some stickers, the ratio becomes 5:2 respectively.
If Ponnalagu is left with 35 stickers, how many stickers did she use up

Answer: 7


SOLUTION 1 :

 

 

Before
Ponnalagu : Jeevini

2 x 3

6

:

:

1 x 2

2
 
After
Ponnalagu : Jeevini
5 : 2

 

Step 1:

   5 units  = 35

 

 1 unit  = ï»¿35 ÷ 5
     = 7
   = 7

 

  

 

      
     

 

 



10)  

Tamilselvi had four times as many stickers as Kumutha. After Tamilselvi used up some stickers, the ratio becomes 3:2 respectively.
If Tamilselvi is left with 84 stickers, how many stickers did she use up

Answer: 140


SOLUTION 1 :

 

 

Before
Tamilselvi : Kumutha

2x 4

8

:

:

1 x 2

2
 
After
Tamilselvi : Kumutha
3 : 2

 

Step 1:

   3 units  = 84

 

 1 unit  = ï»¿84 ÷ 3
     = 28
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿28 x 5

 

     = ï»¿140