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 340 in the ratio 4 : 8

4 parts

8 parts


Answer:_______________




2)  

 Divide 440 in the ratio 3 : 5

3 parts

5 parts


Answer:_______________




3)  

 Divide 390 in the ratio 3 : 5

3 parts

5 parts


Answer:_______________




4)  

 Divide 400 in the ratio 3 : 6

3 parts

6 parts


Answer:_______________




5)  

 Divide 390 in the ratio 3 : 6

3 parts

6 parts


Answer:_______________




6)  

 Divide 230 in the ratio 2 : 7

2 parts

7 parts


Answer:_______________




7)  

 Divide 410 in the ratio 3 : 8

3 parts

8 parts


Answer:_______________




8)  

 Divide 300 in the ratio 2 : 6

2 parts

6 parts


Answer:_______________




9)  

 Divide 320 in the ratio 4 : 7

4 parts

7 parts


Answer:_______________




10)  

 Divide 380 in the ratio 2 : 8

2 parts

8 parts


Answer:_______________




 

1)  

 Divide 340 in the ratio 4 : 8

4 parts Answer: 113

8 parts Answer: 227


SOLUTION 1 :

Given  :

 4 : 8 means the first quantity is 4 parts and the second parts quantity in 8 parts.

The total number of parts =  4+8

                                              =12

        12 parts =  340

         1 parts    =   34012

                         =28.333333333333

4 parts    =  4 x 28.333333333333

                      = 113

8 parts   =  8 x 28.333333333333

                    =  227



2)  

 Divide 440 in the ratio 3 : 5

3 parts Answer: 165

5 parts Answer: 275


SOLUTION 1 :

Given  :

 3 : 5 means the first quantity is 3 parts and the second parts quantity in 5 parts.

The total number of parts =  3+5

                                              =8

        8 parts =  440

         1 parts    =   4408

                         =55

3 parts    =  3 x 55

                      = 165

5 parts   =  5 x 55

                    =  275



3)  

 Divide 390 in the ratio 3 : 5

3 parts Answer: 146

5 parts Answer: 244


SOLUTION 1 :

Given  :

 3 : 5 means the first quantity is 3 parts and the second parts quantity in 5 parts.

The total number of parts =  3+5

                                              =8

        8 parts =  390

         1 parts    =   3908

                         =48.75

3 parts    =  3 x 48.75

                      = 146

5 parts   =  5 x 48.75

                    =  244



4)  

 Divide 400 in the ratio 3 : 6

3 parts Answer: 133

6 parts Answer: 267


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 =  400

         1 parts    =   4009

                         =44.444444444444

3 parts    =  3 x 44.444444444444

                      = 133

6 parts   =  6 x 44.444444444444

                    =  267



5)  

 Divide 390 in the ratio 3 : 6

3 parts Answer: 130

6 parts Answer: 260


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 =  390

         1 parts    =   3909

                         =43.333333333333

3 parts    =  3 x 43.333333333333

                      = 130

6 parts   =  6 x 43.333333333333

                    =  260



6)  

 Divide 230 in the ratio 2 : 7

2 parts Answer: 51

7 parts Answer: 179


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 =  230

         1 parts    =   2309

                         =25.555555555556

2 parts    =  2 x 25.555555555556

                      = 51

7 parts   =  7 x 25.555555555556

                    =  179



7)  

 Divide 410 in the ratio 3 : 8

3 parts Answer: 112

8 parts Answer: 298


SOLUTION 1 :

Given  :

 3 : 8 means the first quantity is 3 parts and the second parts quantity in 8 parts.

The total number of parts =  3+8

                                              =11

        11 parts =  410

         1 parts    =   41011

                         =37.272727272727

3 parts    =  3 x 37.272727272727

                      = 112

8 parts   =  8 x 37.272727272727

                    =  298



8)  

 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



9)  

 Divide 320 in the ratio 4 : 7

4 parts Answer: 116

7 parts Answer: 204


SOLUTION 1 :

Given  :

 4 : 7 means the first quantity is 4 parts and the second parts quantity in 7 parts.

The total number of parts =  4+7

                                              =11

        11 parts =  320

         1 parts    =   32011

                         =29.090909090909

4 parts    =  4 x 29.090909090909

                      = 116

7 parts   =  7 x 29.090909090909

                    =  204



10)  

 Divide 380 in the ratio 2 : 8

2 parts Answer: 76

8 parts Answer: 304


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 =  380

         1 parts    =   38010

                         =38

2 parts    =  2 x 38

                      = 76

8 parts   =  8 x 38

                    =  304