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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)  

Sriram was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 2:4. 
On the second day, he fixed another 52 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of


Answer:_______________




2)  

Tulasi was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:2. 
On the second day, she fixed another 36 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of


Answer:_______________




3)  

Amutha was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 2:3. 
On the second day, she fixed another 36 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of


Answer:_______________




4)  

Pugal was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 1:4. 
On the second day, he fixed another 54 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 2:5.
How many pieces did the puzzle consist of


Answer:_______________




5)  

Selvanayaki was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:4. 
On the second day, she fixed another 42 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of


Answer:_______________




6)  

Aravindh was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 2:4. 
On the second day, he fixed another 44 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of


Answer:_______________




7)  

Ovini was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:2. 
On the second day, she fixed another 54 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of


Answer:_______________




8)  

Indra was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 2:3. 
On the second day, she fixed another 24 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of


Answer:_______________




9)  

Raj was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 1:4. 
On the second day, he fixed another 90 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 2:5.
How many pieces did the puzzle consist of


Answer:_______________




10)  

Tulasi was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:4. 
On the second day, she fixed another 63 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of


Answer:_______________




 

1)  

Sriram was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 2:4. 
On the second day, he fixed another 52 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of

Answer: 1248


SOLUTION 1 :
Before
Fixed
: Unfixed
2 : 4
16 : 32
 
After
Fixed
: Unfixed
3 : 5
18 : 30

 

Step 1:    18 units - 16 units  = 2 units
Step 2: 2 units  = 52
  1 unit  = 52 ÷ 2
    = 26
Step 3: 16 units + 32 units  = 48 units
Step 4:  48 units  = 48 x 26
    = 1248
     


2)  

Tulasi was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:2. 
On the second day, she fixed another 36 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of

Answer: 324


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 2
9 : 18
 
After
Fixed
: Unfixed
4 : 5
12 : 15

 

Step 1:    12 units - 9 units  = 3 units
Step 2: 3 units  = 36
  1 unit  = 36 ÷ 3
    = 12
Step 3: 9 units + 18 units  = 27 units
Step 4:  27 units  = 27 x 12
    = 324
     


3)  

Amutha was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 2:3. 
On the second day, she fixed another 36 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of

Answer: 810


SOLUTION 1 :
Before
Fixed
: Unfixed
2 : 3
18 : 27
 
After
Fixed
: Unfixed
4 : 5
20 : 25

 

Step 1:    20 units - 18 units  = 2 units
Step 2: 2 units  = 36
  1 unit  = 36 ÷ 2
    = 18
Step 3: 18 units + 27 units  = 45 units
Step 4:  45 units  = 45 x 18
    = 810
     


4)  

Pugal was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 1:4. 
On the second day, he fixed another 54 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 2:5.
How many pieces did the puzzle consist of

Answer: 630


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 4
7 : 28
 
After
Fixed
: Unfixed
2 : 5
10 : 25

 

Step 1:    10 units - 7 units  = 3 units
Step 2: 3 units  = 54
  1 unit  = 54 ÷ 3
    = 18
Step 3: 7 units + 28 units = 35 units
Step 4:  35 units = 35 x 18
    = 630
     


5)  

Selvanayaki was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:4. 
On the second day, she fixed another 42 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of

Answer: 240


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 4
8 : 32
 
After
Fixed
: Unfixed
3 : 5
15 : 25

 

Step 1:    15 units - 8 units  = 7 units
Step 2: 7 units  = 42
  1 unit  = 42 ÷ 7
    = 6
Step 3: 8 units + 32 units  = 40 units
Step 4:  40 units  = 40 x 6
    = 240
     


6)  

Aravindh was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 2:4. 
On the second day, he fixed another 44 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of

Answer: 1056


SOLUTION 1 :
Before
Fixed
: Unfixed
2 : 4
16 : 32
 
After
Fixed
: Unfixed
3 : 5
18 : 30

 

Step 1:    18 units - 16 units  = 2 units
Step 2: 2 units  = 44
  1 unit  = 44 ÷ 2
    = 22
Step 3: 16 units + 32 units  = 48 units
Step 4:  48 units  = 48 x 22
    = 1056
     


7)  

Ovini was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:2. 
On the second day, she fixed another 54 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of

Answer: 486


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 2
9 : 18
 
After
Fixed
: Unfixed
4 : 5
12 : 15

 

Step 1:    12 units - 9 units  = 3 units
Step 2: 3 units  = 54
  1 unit  = 54 ÷ 3
    = 18
Step 3: 9 units + 18 units  = 27 units
Step 4:  27 units  = 27 x 18
    = 486
     


8)  

Indra was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 2:3. 
On the second day, she fixed another 24 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of

Answer: 540


SOLUTION 1 :
Before
Fixed
: Unfixed
2 : 3
18 : 27
 
After
Fixed
: Unfixed
4 : 5
20 : 25

 

Step 1:    20 units - 18 units  = 2 units
Step 2: 2 units  = 24
  1 unit  = 24 ÷ 2
    = 12
Step 3: 18 units + 27 units  = 45 units
Step 4:  45 units  = 45 x 12
    = 540
     


9)  

Raj was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 1:4. 
On the second day, he fixed another 90 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 2:5.
How many pieces did the puzzle consist of

Answer: 1050


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 4
7 : 28
 
After
Fixed
: Unfixed
2 : 5
10 : 25

 

Step 1:    10 units - 7 units  = 3 units
Step 2: 3 units  = 90
  1 unit  = 90 ÷ 3
    = 30
Step 3: 7 units + 28 units = 35 units
Step 4:  35 units = 35 x 30
    = 1050
     


10)  

Tulasi was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:4. 
On the second day, she fixed another 63 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of

Answer: 360


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 4
8 : 32
 
After
Fixed
: Unfixed
3 : 5
15 : 25

 

Step 1:    15 units - 8 units  = 7 units
Step 2: 7 units  = 63
  1 unit  = 63 ÷ 7
    = 9
Step 3: 8 units + 32 units  = 40 units
Step 4:  40 units  = 40 x 9
    = 360