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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)  

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 88 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)  

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 69 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:_______________




3)  

Swathi 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 34 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)  

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 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:_______________




5)  

Ponnalagu 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 84 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 58 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)  

Murugan 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 60 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:_______________




8)  

Jeevini 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 26 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)  

Jeevini 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 69 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:_______________




10)  

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 1:4. 
On the second day, she fixed another 84 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)  

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 88 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: 2112


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  = 88
  1 unit  = 88 ÷ 2
    = 44
Step 3: 16 units + 32 units  = 48 units
Step 4:  48 units  = 48 x 44
    = 2112
     


2)  

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 69 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: 805


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  = 69
  1 unit  = 69 ÷ 3
    = 23
Step 3: 7 units + 28 units = 35 units
Step 4:  35 units = 35 x 23
    = 805
     


3)  

Swathi 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 34 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: 765


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  = 34
  1 unit  = 34 ÷ 2
    = 17
Step 3: 18 units + 27 units  = 45 units
Step 4:  45 units  = 45 x 17
    = 765
     


4)  

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 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
     


5)  

Ponnalagu 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 84 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: 480


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  = 84
  1 unit  = 84 ÷ 7
    = 12
Step 3: 8 units + 32 units  = 40 units
Step 4:  40 units  = 40 x 12
    = 480
     


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 58 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: 1392


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  = 58
  1 unit  = 58 ÷ 2
    = 29
Step 3: 16 units + 32 units  = 48 units
Step 4:  48 units  = 48 x 29
    = 1392
     


7)  

Murugan 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 60 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: 700


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  = 60
  1 unit  = 60 ÷ 3
    = 20
Step 3: 7 units + 28 units = 35 units
Step 4:  35 units = 35 x 20
    = 700
     


8)  

Jeevini 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 26 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: 585


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  = 26
  1 unit  = 26 ÷ 2
    = 13
Step 3: 18 units + 27 units  = 45 units
Step 4:  45 units  = 45 x 13
    = 585
     


9)  

Jeevini 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 69 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: 621


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  = 69
  1 unit  = 69 ÷ 3
    = 23
Step 3: 9 units + 18 units  = 27 units
Step 4:  27 units  = 27 x 23
    = 621
     


10)  

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 1:4. 
On the second day, she fixed another 84 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: 480


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  = 84
  1 unit  = 84 ÷ 7
    = 12
Step 3: 8 units + 32 units  = 40 units
Step 4:  40 units  = 40 x 12
    = 480