Scroll:Everyday Arithmetic >> ratio,proportion,direct variation >> saq (4524)

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)  

 Divide 380 in the ratio 2 : 7

2 parts

7 parts


Answer:_______________




2)  

 Divide 380 in the ratio 3 : 7

3 parts

7 parts


Answer:_______________




3)  

 Divide 270 in the ratio 3 : 6

3 parts

6 parts


Answer:_______________




4)  

 Divide 250 in the ratio 4 : 6

4 parts

6 parts


Answer:_______________




5)  

 Divide 270 in the ratio 3 : 7

3 parts

7 parts


Answer:_______________




6)  

 Divide 210 in the ratio 2 : 6

2 parts

6 parts


Answer:_______________




7)  

 Divide 360 in the ratio 3 : 6

3 parts

6 parts


Answer:_______________




8)  

 Divide 300 in the ratio 2 : 8

2 parts

8 parts


Answer:_______________




9)  

 Divide 300 in the ratio 2 : 6

2 parts

6 parts


Answer:_______________




10)  

 Divide 490 in the ratio 2 : 8

2 parts

8 parts


Answer:_______________




 

1)  

 Divide 380 in the ratio 2 : 7

2 parts Answer: 84

7 parts Answer: 296


SOLUTION 1 :

Given  :

 2 : 7 means the first quantity is 2 parts and the second parts quantity in 7 parts.

The total number of parts =  2+7

                                              =9

        9 parts =  380

         1 parts    =   3809

                         =42.222222222222

2 parts    =  2 x 42.222222222222

                      = 84

7 parts   =  7 x 42.222222222222

                    =  296



2)  

 Divide 380 in the ratio 3 : 7

3 parts Answer: 114

7 parts Answer: 266


SOLUTION 1 :

Given  :

 3 : 7 means the first quantity is 3 parts and the second parts quantity in 7 parts.

The total number of parts =  3+7

                                              =10

        10 parts =  380

         1 parts    =   38010

                         =38

3 parts    =  3 x 38

                      = 114

7 parts   =  7 x 38

                    =  266



3)  

 Divide 270 in the ratio 3 : 6

3 parts Answer: 90

6 parts Answer: 180


SOLUTION 1 :

Given  :

 3 : 6 means the first quantity is 3 parts and the second parts quantity in 6 parts.

The total number of parts =  3+6

                                              =9

        9 parts =  270

         1 parts    =   2709

                         =30

3 parts    =  3 x 30

                      = 90

6 parts   =  6 x 30

                    =  180



4)  

 Divide 250 in the ratio 4 : 6

4 parts Answer: 100

6 parts Answer: 150


SOLUTION 1 :

Given  :

 4 : 6 means the first quantity is 4 parts and the second parts quantity in 6 parts.

The total number of parts =  4+6

                                              =10

        10 parts =  250

         1 parts    =   25010

                         =25

4 parts    =  4 x 25

                      = 100

6 parts   =  6 x 25

                    =  150



5)  

 Divide 270 in the ratio 3 : 7

3 parts Answer: 81

7 parts Answer: 189


SOLUTION 1 :

Given  :

 3 : 7 means the first quantity is 3 parts and the second parts quantity in 7 parts.

The total number of parts =  3+7

                                              =10

        10 parts =  270

         1 parts    =   27010

                         =27

3 parts    =  3 x 27

                      = 81

7 parts   =  7 x 27

                    =  189



6)  

 Divide 210 in the ratio 2 : 6

2 parts Answer: 53

6 parts Answer: 158


SOLUTION 1 :

Given  :

 2 : 6 means the first quantity is 2 parts and the second parts quantity in 6 parts.

The total number of parts =  2+6

                                              =8

        8 parts =  210

         1 parts    =   2108

                         =26.25

2 parts    =  2 x 26.25

                      = 53

6 parts   =  6 x 26.25

                    =  158



7)  

 Divide 360 in the ratio 3 : 6

3 parts Answer: 120

6 parts Answer: 240


SOLUTION 1 :

Given  :

 3 : 6 means the first quantity is 3 parts and the second parts quantity in 6 parts.

The total number of parts =  3+6

                                              =9

        9 parts =  360

         1 parts    =   3609

                         =40

3 parts    =  3 x 40

                      = 120

6 parts   =  6 x 40

                    =  240



8)  

 Divide 300 in the ratio 2 : 8

2 parts Answer: 60

8 parts Answer: 240


SOLUTION 1 :

Given  :

 2 : 8 means the first quantity is 2 parts and the second parts quantity in 8 parts.

The total number of parts =  2+8

                                              =10

        10 parts =  300

         1 parts    =   30010

                         =30

2 parts    =  2 x 30

                      = 60

8 parts   =  8 x 30

                    =  240



9)  

 Divide 300 in the ratio 2 : 6

2 parts Answer: 75

6 parts Answer: 225


SOLUTION 1 :

Given  :

 2 : 6 means the first quantity is 2 parts and the second parts quantity in 6 parts.

The total number of parts =  2+6

                                              =8

        8 parts =  300

         1 parts    =   3008

                         =37.5

2 parts    =  2 x 37.5

                      = 75

6 parts   =  6 x 37.5

                    =  225



10)  

 Divide 490 in the ratio 2 : 8

2 parts Answer: 98

8 parts Answer: 392


SOLUTION 1 :

Given  :

 2 : 8 means the first quantity is 2 parts and the second parts quantity in 8 parts.

The total number of parts =  2+8

                                              =10

        10 parts =  490

         1 parts    =   49010

                         =49

2 parts    =  2 x 49

                      = 98

8 parts   =  8 x 49

                    =  392