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 410 in the ratio 3 : 8

3 parts

8 parts


Answer:_______________




2)  

 Divide 390 in the ratio 3 : 7

3 parts

7 parts


Answer:_______________




3)  

 Divide 240 in the ratio 4 : 5

4 parts

5 parts


Answer:_______________




4)  

 Divide 450 in the ratio 3 : 8

3 parts

8 parts


Answer:_______________




5)  

 Divide 260 in the ratio 4 : 8

4 parts

8 parts


Answer:_______________




6)  

 Divide 440 in the ratio 3 : 7

3 parts

7 parts


Answer:_______________




7)  

 Divide 370 in the ratio 3 : 6

3 parts

6 parts


Answer:_______________




8)  

 Divide 270 in the ratio 4 : 6

4 parts

6 parts


Answer:_______________




9)  

 Divide 240 in the ratio 4 : 6

4 parts

6 parts


Answer:_______________




10)  

 Divide 470 in the ratio 2 : 5

2 parts

5 parts


Answer:_______________




 

1)  

 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



2)  

 Divide 390 in the ratio 3 : 7

3 parts Answer: 117

7 parts Answer: 273


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 =  390

         1 parts    =   39010

                         =39

3 parts    =  3 x 39

                      = 117

7 parts   =  7 x 39

                    =  273



3)  

 Divide 240 in the ratio 4 : 5

4 parts Answer: 107

5 parts Answer: 133


SOLUTION 1 :

Given  :

 4 : 5 means the first quantity is 4 parts and the second parts quantity in 5 parts.

The total number of parts =  4+5

                                              =9

        9 parts =  240

         1 parts    =   2409

                         =26.666666666667

4 parts    =  4 x 26.666666666667

                      = 107

5 parts   =  5 x 26.666666666667

                    =  133



4)  

 Divide 450 in the ratio 3 : 8

3 parts Answer: 123

8 parts Answer: 327


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 =  450

         1 parts    =   45011

                         =40.909090909091

3 parts    =  3 x 40.909090909091

                      = 123

8 parts   =  8 x 40.909090909091

                    =  327



5)  

 Divide 260 in the ratio 4 : 8

4 parts Answer: 87

8 parts Answer: 173


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 =  260

         1 parts    =   26012

                         =21.666666666667

4 parts    =  4 x 21.666666666667

                      = 87

8 parts   =  8 x 21.666666666667

                    =  173



6)  

 Divide 440 in the ratio 3 : 7

3 parts Answer: 132

7 parts Answer: 308


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 =  440

         1 parts    =   44010

                         =44

3 parts    =  3 x 44

                      = 132

7 parts   =  7 x 44

                    =  308



7)  

 Divide 370 in the ratio 3 : 6

3 parts Answer: 123

6 parts Answer: 247


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 =  370

         1 parts    =   3709

                         =41.111111111111

3 parts    =  3 x 41.111111111111

                      = 123

6 parts   =  6 x 41.111111111111

                    =  247



8)  

 Divide 270 in the ratio 4 : 6

4 parts Answer: 108

6 parts Answer: 162


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 =  270

         1 parts    =   27010

                         =27

4 parts    =  4 x 27

                      = 108

6 parts   =  6 x 27

                    =  162



9)  

 Divide 240 in the ratio 4 : 6

4 parts Answer: 96

6 parts Answer: 144


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 =  240

         1 parts    =   24010

                         =24

4 parts    =  4 x 24

                      = 96

6 parts   =  6 x 24

                    =  144



10)  

 Divide 470 in the ratio 2 : 5

2 parts Answer: 134

5 parts Answer: 336


SOLUTION 1 :

Given  :

 2 : 5 means the first quantity is 2 parts and the second parts quantity in 5 parts.

The total number of parts =  2+5

                                              =7

        7 parts =  470

         1 parts    =   4707

                         =67.142857142857

2 parts    =  2 x 67.142857142857

                      = 134

5 parts   =  5 x 67.142857142857

                    =  336