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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)  

Chellamal 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 35 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:_______________




2)  

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 74 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:_______________




3)  

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 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:_______________




4)  

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 1:2. 
On the second day, she fixed another 66 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 2:3. 
On the second day, she fixed another 38 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:_______________




6)  

Haritha 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:_______________




7)  

Karna 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 72 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:_______________




8)  

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 99 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:_______________




9)  

Chithra 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 21 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)  

Chellamal 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 20 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:_______________




 

1)  

Chellamal 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 35 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: 200


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  = 35
  1 unit  = 35 ÷ 7
    = 5
Step 3: 8 units + 32 units  = 40 units
Step 4:  40 units  = 40 x 5
    = 200
     


2)  

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 74 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: 1776


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  = 74
  1 unit  = 74 ÷ 2
    = 37
Step 3: 16 units + 32 units  = 48 units
Step 4:  48 units  = 48 x 37
    = 1776
     


3)  

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 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
     


4)  

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 1:2. 
On the second day, she fixed another 66 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: 594


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  = 66
  1 unit  = 66 ÷ 3
    = 22
Step 3: 9 units + 18 units  = 27 units
Step 4:  27 units  = 27 x 22
    = 594
     


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 2:3. 
On the second day, she fixed another 38 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: 855


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  = 38
  1 unit  = 38 ÷ 2
    = 19
Step 3: 18 units + 27 units  = 45 units
Step 4:  45 units  = 45 x 19
    = 855
     


6)  

Haritha 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
     


7)  

Karna 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 72 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: 1728


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  = 72
  1 unit  = 72 ÷ 2
    = 36
Step 3: 16 units + 32 units  = 48 units
Step 4:  48 units  = 48 x 36
    = 1728
     


8)  

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 99 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: 1155


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  = 99
  1 unit  = 99 ÷ 3
    = 33
Step 3: 7 units + 28 units = 35 units
Step 4:  35 units = 35 x 33
    = 1155
     


9)  

Chithra 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 21 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: 189


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  = 21
  1 unit  = 21 ÷ 3
    = 7
Step 3: 9 units + 18 units  = 27 units
Step 4:  27 units  = 27 x 7
    = 189
     


10)  

Chellamal 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 20 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: 450


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  = 20
  1 unit  = 20 ÷ 2
    = 10
Step 3: 18 units + 27 units  = 45 units
Step 4:  45 units  = 45 x 10
    = 450