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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)  

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


Answer:_______________




2)  

Selvanayaki had twice as many marbles as Nandini. After Selvanayaki used up some marbles, the ratio becomes 3:5 respectively.
If Selvanayaki is left with 57 marbles, how many marbles did she use up


Answer:_______________




3)  

Kumutha had four times as many stickers as Ramani. After Kumutha used up some stickers, the ratio becomes 3:2 respectively.
If Kumutha is left with 72 stickers, how many stickers did she use up


Answer:_______________




4)  

Ponnalagu had thrice as many marbles as Panimalar. After Ponnalagu used up some marbles, the ratio becomes 4:3 respectively.
If Ponnalagu is left with 84 marbles, how many marbles did she use up


Answer:_______________




5)  

Ramani had thrice as many stickers as Panimalar. After Ramani used up some stickers, the ratio becomes 5:2 respectively.
If Ramani is left with 100 stickers, how many stickers did she use up


Answer:_______________




6)  

Poongodi had twice as many stickers as Savithri. After Poongodi used up some stickers, the ratio becomes 3:2 respectively.
If Poongodi is left with 54 stickers, how many stickers did she use up


Answer:_______________




7)  

Chithra had twice as many marbles as Parveen. After Chithra used up some marbles, the ratio becomes 3:5 respectively.
If Chithra is left with 78 marbles, how many marbles did she use up


Answer:_______________




8)  

Ponnalagu had four times as many stickers as Selvanayaki. After Ponnalagu used up some stickers, the ratio becomes 3:2 respectively.
If Ponnalagu is left with 90 stickers, how many stickers did she use up


Answer:_______________




9)  

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


Answer:_______________




10)  

Savithri had thrice as many stickers as Nandini. After Savithri used up some stickers, the ratio becomes 5:2 respectively.
If Savithri is left with 100 stickers, how many stickers did she use up


Answer:_______________




 

1)  

Panimalar had twice as many stickers as Selvanayaki. After Panimalar used up some stickers, the ratio becomes 3:2 respectively.
If Panimalar 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
Panimalar : Selvanayaki

2 x 2

4

:

:

1 x 2

2
 
After
Panimalar : Selvanayaki
3 : 2

 

Step 1:

   3 units  = 42

 

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

 

    

 

      
     

 

 



2)  

Selvanayaki had twice as many marbles as Nandini. After Selvanayaki used up some marbles, the ratio becomes 3:5 respectively.
If Selvanayaki is left with 57 marbles, how many marbles did she use up

Answer: 133


SOLUTION 1 :

 

 

Before
Selvanayaki : Nandini

2 x 5

10

:

:

1 x 5

5
 
After
Selvanayaki : Nandini
3 : 5

 

Step 1:

   3 units  = 57

Step 2:

   1 unit  = ï»¿57 ÷ 3
     = 19
     

Step 3:

 7 units = 19 x 7

 

     = ï»¿133
     

 

 


SOLUTION 2 :

 

 

Before
Selvanayaki : Nandini

2 x 5

10

:

:

1 x 5

5
 
After
Selvanayaki : Nandini
3 : 5

 

Step 1:

   3 units  = 57

Step 2:

   1 unit  = ï»¿57 ÷ 3
     = 19
     

Step 3:

 7 units = 19 x 7

 

     = ï»¿133
     

 

 



3)  

Kumutha had four times as many stickers as Ramani. After Kumutha used up some stickers, the ratio becomes 3:2 respectively.
If Kumutha is left with 72 stickers, how many stickers did she use up

Answer: 120


SOLUTION 1 :

 

 

Before
Kumutha : Ramani

2x 4

8

:

:

1 x 2

2
 
After
Kumutha : Ramani
3 : 2

 

Step 1:

   3 units  = 72

 

 1 unit  = ï»¿72 ÷ 3
     = 24
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿24 x 5

 

     = ï»¿120
     

 

 



4)  

Ponnalagu had thrice as many marbles as Panimalar. After Ponnalagu used up some marbles, the ratio becomes 4:3 respectively.
If Ponnalagu is left with 84 marbles, how many marbles did she use up

Answer: 105


SOLUTION 1 :

 

 

Before
Ponnalagu : Panimalar

3 x 3

9

:

:

1 x 3

3
 
After
Ponnalagu : Panimalar
4 : 3

 

Step 1:

   4 units  = 84

 

 1 unit  = ï»¿84 ÷ 4
     = 21
Step 2:   ï»¿9 - 4 = 5 units

Step 3:

 5 units = ï»¿21 x 5

 

     = ï»¿105
     

 

 



5)  

Ramani had thrice as many stickers as Panimalar. After Ramani used up some stickers, the ratio becomes 5:2 respectively.
If Ramani is left with 100 stickers, how many stickers did she use up

Answer: 20


SOLUTION 1 :

 

 

Before
Ramani : Panimalar

2 x 3

6

:

:

1 x 2

2
 
After
Ramani : Panimalar
5 : 2

 

Step 1:

   5 units  = 100

 

 1 unit  = ï»¿100 ÷ 5
     = 20
   = 20

 

  

 

      
     

 

 



6)  

Poongodi had twice as many stickers as Savithri. After Poongodi used up some stickers, the ratio becomes 3:2 respectively.
If Poongodi is left with 54 stickers, how many stickers did she use up

Answer: 18


SOLUTION 1 :

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

3 units = 54

1 unit = 54 ÷ 3

          = 18

Answer: 18


SOLUTION 2 :

 

 

Before
Poongodi : Savithri

2 x 2

4

:

:

1 x 2

2
 
After
Poongodi : Savithri
3 : 2

 

Step 1:

   3 units  = 54

 

 1 unit  = ï»¿54 ÷ 3
     = 18
    = 18

 

    

 

      
     

 

 



7)  

Chithra had twice as many marbles as Parveen. After Chithra used up some marbles, the ratio becomes 3:5 respectively.
If Chithra is left with 78 marbles, how many marbles did she use up

Answer: 182


SOLUTION 1 :

 

 

Before
Chithra : Parveen

2 x 5

10

:

:

1 x 5

5
 
After
Chithra : Parveen
3 : 5

 

Step 1:

   3 units  = 78

Step 2:

   1 unit  = ï»¿78 ÷ 3
     = 26
     

Step 3:

 7 units = 26 x 7

 

     = ï»¿182
     

 

 


SOLUTION 2 :

 

 

Before
Chithra : Parveen

2 x 5

10

:

:

1 x 5

5
 
After
Chithra : Parveen
3 : 5

 

Step 1:

   3 units  = 78

Step 2:

   1 unit  = ï»¿78 ÷ 3
     = 26
     

Step 3:

 7 units = 26 x 7

 

     = ï»¿182
     

 

 



8)  

Ponnalagu had four times as many stickers as Selvanayaki. After Ponnalagu used up some stickers, the ratio becomes 3:2 respectively.
If Ponnalagu is left with 90 stickers, how many stickers did she use up

Answer: 150


SOLUTION 1 :

 

 

Before
Ponnalagu : Selvanayaki

2x 4

8

:

:

1 x 2

2
 
After
Ponnalagu : Selvanayaki
3 : 2

 

Step 1:

   3 units  = 90

 

 1 unit  = ï»¿90 ÷ 3
     = 30
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿30 x 5

 

     = ï»¿150
     

 

 



9)  

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

Answer: 100


SOLUTION 1 :

 

 

Before
Parveen : Indra

3 x 3

9

:

:

1 x 3

3
 
After
Parveen : Indra
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
     

 

 



10)  

Savithri had thrice as many stickers as Nandini. After Savithri used up some stickers, the ratio becomes 5:2 respectively.
If Savithri is left with 100 stickers, how many stickers did she use up

Answer: 20


SOLUTION 1 :

 

 

Before
Savithri : Nandini

2 x 3

6

:

:

1 x 2

2
 
After
Savithri : Nandini
5 : 2

 

Step 1:

   5 units  = 100

 

 1 unit  = ï»¿100 ÷ 5
     = 20
   = 20