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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)  

Tulasi had twice as many marbles as Indra. After Tulasi used up some marbles, the ratio becomes 3:5 respectively.
If Tulasi is left with 87 marbles, how many marbles did she use up


Answer:_______________




2)  

Ponnalagu had thrice as many stickers as Panimalar. After Ponnalagu used up some stickers, the ratio becomes 5:2 respectively.
If Ponnalagu is left with 40 stickers, how many stickers did she use up


Answer:_______________




3)  

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


Answer:_______________




4)  

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


Answer:_______________




5)  

Chellamal had twice as many stickers as Poongodi. After Chellamal used up some stickers, the ratio becomes 3:2 respectively.
If Chellamal is left with 87 stickers, how many stickers did she use up


Answer:_______________




6)  

Mithra had twice as many marbles as Savithri. After Mithra used up some marbles, the ratio becomes 3:5 respectively.
If Mithra is left with 30 marbles, how many marbles did she use up


Answer:_______________




7)  

Nandini had thrice as many stickers as Amutha. After Nandini used up some stickers, the ratio becomes 5:2 respectively.
If Nandini is left with 80 stickers, how many stickers did she use up


Answer:_______________




8)  

Poovazhagi had four times as many stickers as Poongodi. After Poovazhagi used up some stickers, the ratio becomes 3:2 respectively.
If Poovazhagi is left with 99 stickers, how many stickers did she use up


Answer:_______________




9)  

Thamarai had thrice as many marbles as Ponnalagu. After Thamarai used up some marbles, the ratio becomes 4:3 respectively.
If Thamarai is left with 20 marbles, how many marbles did she use up


Answer:_______________




10)  

Tulasi had twice as many stickers as Selvanayaki. After Tulasi used up some stickers, the ratio becomes 3:2 respectively.
If Tulasi is left with 99 stickers, how many stickers did she use up


Answer:_______________




 

1)  

Tulasi had twice as many marbles as Indra. After Tulasi used up some marbles, the ratio becomes 3:5 respectively.
If Tulasi is left with 87 marbles, how many marbles did she use up

Answer: 203


SOLUTION 1 :

 

 

Before
Tulasi : Indra

2 x 5

10

:

:

1 x 5

5
 
After
Tulasi : Indra
3 : 5

 

Step 1:

   3 units  = 87

Step 2:

   1 unit  = ï»¿87 ÷ 3
     = 29
     

Step 3:

 7 units = 29 x 7

 

     = ï»¿203
     

 

 


SOLUTION 2 :

 

 

Before
Tulasi : Indra

2 x 5

10

:

:

1 x 5

5
 
After
Tulasi : Indra
3 : 5

 

Step 1:

   3 units  = 87

Step 2:

   1 unit  = ï»¿87 ÷ 3
     = 29
     

Step 3:

 7 units = 29 x 7

 

     = ï»¿203
     

 

 



2)  

Ponnalagu had thrice as many stickers as Panimalar. After Ponnalagu used up some stickers, the ratio becomes 5:2 respectively.
If Ponnalagu is left with 40 stickers, how many stickers did she use up

Answer: 8


SOLUTION 1 :

 

 

Before
Ponnalagu : Panimalar

2 x 3

6

:

:

1 x 2

2
 
After
Ponnalagu : Panimalar
5 : 2

 

Step 1:

   5 units  = 40

 

 1 unit  = ï»¿40 ÷ 5
     = 8
   = 8

 

  

 

      
     

 

 



3)  

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

Answer: 125


SOLUTION 1 :

 

 

Before
Mithra : Haritha

2x 4

8

:

:

1 x 2

2
 
After
Mithra : Haritha
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
     

 

 



4)  

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

Answer: 75


SOLUTION 1 :

 

 

Before
Haritha : Poovazhagi

3 x 3

9

:

:

1 x 3

3
 
After
Haritha : Poovazhagi
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
     

 

 



5)  

Chellamal had twice as many stickers as Poongodi. After Chellamal used up some stickers, the ratio becomes 3:2 respectively.
If Chellamal is left with 87 stickers, how many stickers did she use up

Answer: 29


SOLUTION 1 :

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

3 units = 87

1 unit = 87 ÷ 3

          = 29

Answer: 29


SOLUTION 2 :

 

 

Before
Chellamal : Poongodi

2 x 2

4

:

:

1 x 2

2
 
After
Chellamal : Poongodi
3 : 2

 

Step 1:

   3 units  = 87

 

 1 unit  = ï»¿87 ÷ 3
     = 29
    = 29

 

    

 

      
     

 

 



6)  

Mithra had twice as many marbles as Savithri. After Mithra used up some marbles, the ratio becomes 3:5 respectively.
If Mithra is left with 30 marbles, how many marbles did she use up

Answer: 70


SOLUTION 1 :

 

 

Before
Mithra : Savithri

2 x 5

10

:

:

1 x 5

5
 
After
Mithra : Savithri
3 : 5

 

Step 1:

   3 units  = 30

Step 2:

   1 unit  = ï»¿30 ÷ 3
     = 10
     

Step 3:

 7 units = 10 x 7

 

     = ï»¿70
     

 

 


SOLUTION 2 :

 

 

Before
Mithra : Savithri

2 x 5

10

:

:

1 x 5

5
 
After
Mithra : Savithri
3 : 5

 

Step 1:

   3 units  = 30

Step 2:

   1 unit  = ï»¿30 ÷ 3
     = 10
     

Step 3:

 7 units = 10 x 7

 

     = ï»¿70
     

 

 



7)  

Nandini had thrice as many stickers as Amutha. After Nandini used up some stickers, the ratio becomes 5:2 respectively.
If Nandini is left with 80 stickers, how many stickers did she use up

Answer: 16


SOLUTION 1 :

 

 

Before
Nandini : Amutha

2 x 3

6

:

:

1 x 2

2
 
After
Nandini : Amutha
5 : 2

 

Step 1:

   5 units  = 80

 

 1 unit  = ï»¿80 ÷ 5
     = 16
   = 16

 

  

 

      
     

 

 



8)  

Poovazhagi had four times as many stickers as Poongodi. After Poovazhagi used up some stickers, the ratio becomes 3:2 respectively.
If Poovazhagi is left with 99 stickers, how many stickers did she use up

Answer: 165


SOLUTION 1 :

 

 

Before
Poovazhagi : Poongodi

2x 4

8

:

:

1 x 2

2
 
After
Poovazhagi : Poongodi
3 : 2

 

Step 1:

   3 units  = 99

 

 1 unit  = ï»¿99 ÷ 3
     = 33
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿33 x 5

 

     = ï»¿165
     

 

 



9)  

Thamarai had thrice as many marbles as Ponnalagu. After Thamarai used up some marbles, the ratio becomes 4:3 respectively.
If Thamarai is left with 20 marbles, how many marbles did she use up

Answer: 25


SOLUTION 1 :

 

 

Before
Thamarai : Ponnalagu

3 x 3

9

:

:

1 x 3

3
 
After
Thamarai : Ponnalagu
4 : 3

 

Step 1:

   4 units  = 20

 

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

Step 3:

 5 units = ï»¿5 x 5

 

     = ï»¿25
     

 

 



10)  

Tulasi had twice as many stickers as Selvanayaki. After Tulasi used up some stickers, the ratio becomes 3:2 respectively.
If Tulasi is left with 99 stickers, how many stickers did she use up

Answer: 33


SOLUTION 1 :

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

3 units = 99

1 unit = 99 ÷ 3

          = 33

Answer: 33


SOLUTION 2 :

 

 

Before
Tulasi : Selvanayaki

2 x 2

4

:

:

1 x 2

2
 
After
Tulasi : Selvanayaki
3 : 2

 

Step 1:

   3 units  = 99

 

 1 unit  = ï»¿99 ÷ 3
     = 33
    = 33