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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)  

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


Answer:_______________




2)  

Poovazhagi had twice as many marbles as Thamarai. After Poovazhagi used up some marbles, the ratio becomes 3:5 respectively.
If Poovazhagi is left with 63 marbles, how many marbles did she use up


Answer:_______________




3)  

Poongodi had thrice as many marbles as Pavi. After Poongodi used up some marbles, the ratio becomes 4:3 respectively.
If Poongodi is left with 92 marbles, how many marbles did she use up


Answer:_______________




4)  

Indra had four times as many stickers as Panimalar. After Indra used up some stickers, the ratio becomes 3:2 respectively.
If Indra is left with 81 stickers, how many stickers did she use up


Answer:_______________




5)  

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


Answer:_______________




6)  

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


Answer:_______________




7)  

Selvanayaki had twice as many marbles as Haritha. After Selvanayaki used up some marbles, the ratio becomes 3:5 respectively.
If Selvanayaki is left with 81 marbles, how many marbles did she use up


Answer:_______________




8)  

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


Answer:_______________




9)  

Keerthi had four times as many stickers as Chithra. After Keerthi used up some stickers, the ratio becomes 3:2 respectively.
If Keerthi is left with 39 stickers, how many stickers did she use up


Answer:_______________




10)  

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


Answer:_______________




 

1)  

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

Answer: 15


SOLUTION 1 :

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

3 units = 45

1 unit = 45 ÷ 3

          = 15

Answer: 15


SOLUTION 2 :

 

 

Before
Swathi : Pavi

2 x 2

4

:

:

1 x 2

2
 
After
Swathi : Pavi
3 : 2

 

Step 1:

   3 units  = 45

 

 1 unit  = ï»¿45 ÷ 3
     = 15
    = 15

 

    

 

      
     

 

 



2)  

Poovazhagi had twice as many marbles as Thamarai. After Poovazhagi used up some marbles, the ratio becomes 3:5 respectively.
If Poovazhagi is left with 63 marbles, how many marbles did she use up

Answer: 147


SOLUTION 1 :

 

 

Before
Poovazhagi : Thamarai

2 x 5

10

:

:

1 x 5

5
 
After
Poovazhagi : Thamarai
3 : 5

 

Step 1:

   3 units  = 63

Step 2:

   1 unit  = ï»¿63 ÷ 3
     = 21
     

Step 3:

 7 units = 21 x 7

 

     = ï»¿147
     

 

 


SOLUTION 2 :

 

 

Before
Poovazhagi : Thamarai

2 x 5

10

:

:

1 x 5

5
 
After
Poovazhagi : Thamarai
3 : 5

 

Step 1:

   3 units  = 63

Step 2:

   1 unit  = ï»¿63 ÷ 3
     = 21
     

Step 3:

 7 units = 21 x 7

 

     = ï»¿147
     

 

 



3)  

Poongodi had thrice as many marbles as Pavi. After Poongodi used up some marbles, the ratio becomes 4:3 respectively.
If Poongodi is left with 92 marbles, how many marbles did she use up

Answer: 115


SOLUTION 1 :

 

 

Before
Poongodi : Pavi

3 x 3

9

:

:

1 x 3

3
 
After
Poongodi : Pavi
4 : 3

 

Step 1:

   4 units  = 92

 

 1 unit  = ï»¿92 ÷ 4
     = 23
Step 2:   ï»¿9 - 4 = 5 units

Step 3:

 5 units = ï»¿23 x 5

 

     = ï»¿115
     

 

 



4)  

Indra had four times as many stickers as Panimalar. After Indra used up some stickers, the ratio becomes 3:2 respectively.
If Indra is left with 81 stickers, how many stickers did she use up

Answer: 135


SOLUTION 1 :

 

 

Before
Indra : Panimalar

2x 4

8

:

:

1 x 2

2
 
After
Indra : Panimalar
3 : 2

 

Step 1:

   3 units  = 81

 

 1 unit  = ï»¿81 ÷ 3
     = 27
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿27 x 5

 

     = ï»¿135
     

 

 



5)  

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

Answer: 16


SOLUTION 1 :

 

 

Before
Poovazhagi : Nandini

2 x 3

6

:

:

1 x 2

2
 
After
Poovazhagi : Nandini
5 : 2

 

Step 1:

   5 units  = 80

 

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

 

  

 

      
     

 

 



6)  

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

2 x 2

4

:

:

1 x 2

2
 
After
Panimalar : Indra
3 : 2

 

Step 1:

   3 units  = 87

 

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

 

    

 

      
     

 

 



7)  

Selvanayaki had twice as many marbles as Haritha. After Selvanayaki used up some marbles, the ratio becomes 3:5 respectively.
If Selvanayaki is left with 81 marbles, how many marbles did she use up

Answer: 189


SOLUTION 1 :

 

 

Before
Selvanayaki : Haritha

2 x 5

10

:

:

1 x 5

5
 
After
Selvanayaki : Haritha
3 : 5

 

Step 1:

   3 units  = 81

Step 2:

   1 unit  = ï»¿81 ÷ 3
     = 27
     

Step 3:

 7 units = 27 x 7

 

     = ï»¿189
     

 

 


SOLUTION 2 :

 

 

Before
Selvanayaki : Haritha

2 x 5

10

:

:

1 x 5

5
 
After
Selvanayaki : Haritha
3 : 5

 

Step 1:

   3 units  = 81

Step 2:

   1 unit  = ï»¿81 ÷ 3
     = 27
     

Step 3:

 7 units = 27 x 7

 

     = ï»¿189
     

 

 



8)  

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

Answer: 55


SOLUTION 1 :

 

 

Before
Swathi : Nandini

3 x 3

9

:

:

1 x 3

3
 
After
Swathi : Nandini
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
     

 

 



9)  

Keerthi had four times as many stickers as Chithra. After Keerthi used up some stickers, the ratio becomes 3:2 respectively.
If Keerthi is left with 39 stickers, how many stickers did she use up

Answer: 65


SOLUTION 1 :

 

 

Before
Keerthi : Chithra

2x 4

8

:

:

1 x 2

2
 
After
Keerthi : Chithra
3 : 2

 

Step 1:

   3 units  = 39

 

 1 unit  = ï»¿39 ÷ 3
     = 13
Step 2:   ï»¿8 - 3 = 5 units

Step 3:

 5 units = ï»¿13 x 5

 

     = ï»¿65
     

 

 



10)  

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

Answer: 12


SOLUTION 1 :

 

 

Before
Thamarai : Indra

2 x 3

6

:

:

1 x 2

2
 
After
Thamarai : Indra
5 : 2

 

Step 1:

   5 units  = 60

 

 1 unit  = ï»¿60 ÷ 5
     = 12
   = 12