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 220 in the ratio 4 : 7

4 parts

7 parts


Answer:_______________




2)  

 Divide 250 in the ratio 3 : 7

3 parts

7 parts


Answer:_______________




3)  

 Divide 250 in the ratio 4 : 8

4 parts

8 parts


Answer:_______________




4)  

 Divide 220 in the ratio 2 : 8

2 parts

8 parts


Answer:_______________




5)  

 Divide 410 in the ratio 3 : 6

3 parts

6 parts


Answer:_______________




6)  

 Divide 250 in the ratio 2 : 8

2 parts

8 parts


Answer:_______________




7)  

 Divide 230 in the ratio 3 : 6

3 parts

6 parts


Answer:_______________




8)  

 Divide 370 in the ratio 4 : 7

4 parts

7 parts


Answer:_______________




9)  

 Divide 490 in the ratio 4 : 5

4 parts

5 parts


Answer:_______________




10)  

 Divide 430 in the ratio 4 : 8

4 parts

8 parts


Answer:_______________




 

1)  

 Divide 220 in the ratio 4 : 7

4 parts Answer: 80

7 parts Answer: 140


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 =  220

         1 parts    =   22011

                         =20

4 parts    =  4 x 20

                      = 80

7 parts   =  7 x 20

                    =  140



2)  

 Divide 250 in the ratio 3 : 7

3 parts Answer: 75

7 parts Answer: 175


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 =  250

         1 parts    =   25010

                         =25

3 parts    =  3 x 25

                      = 75

7 parts   =  7 x 25

                    =  175



3)  

 Divide 250 in the ratio 4 : 8

4 parts Answer: 83

8 parts Answer: 167


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 =  250

         1 parts    =   25012

                         =20.8333333333

4 parts    =  4 x 20.8333333333

                      = 83

8 parts   =  8 x 20.8333333333

                    =  167



4)  

 Divide 220 in the ratio 2 : 8

2 parts Answer: 44

8 parts Answer: 176


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 =  220

         1 parts    =   22010

                         =22

2 parts    =  2 x 22

                      = 44

8 parts   =  8 x 22

                    =  176



5)  

 Divide 410 in the ratio 3 : 6

3 parts Answer: 137

6 parts Answer: 273


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 =  410

         1 parts    =   4109

                         =45.5555555556

3 parts    =  3 x 45.5555555556

                      = 137

6 parts   =  6 x 45.5555555556

                    =  273



6)  

 Divide 250 in the ratio 2 : 8

2 parts Answer: 50

8 parts Answer: 200


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 =  250

         1 parts    =   25010

                         =25

2 parts    =  2 x 25

                      = 50

8 parts   =  8 x 25

                    =  200



7)  

 Divide 230 in the ratio 3 : 6

3 parts Answer: 77

6 parts Answer: 153


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 =  230

         1 parts    =   2309

                         =25.5555555556

3 parts    =  3 x 25.5555555556

                      = 77

6 parts   =  6 x 25.5555555556

                    =  153



8)  

 Divide 370 in the ratio 4 : 7

4 parts Answer: 135

7 parts Answer: 235


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 =  370

         1 parts    =   37011

                         =33.6363636364

4 parts    =  4 x 33.6363636364

                      = 135

7 parts   =  7 x 33.6363636364

                    =  235



9)  

 Divide 490 in the ratio 4 : 5

4 parts Answer: 218

5 parts Answer: 272


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 =  490

         1 parts    =   4909

                         =54.4444444444

4 parts    =  4 x 54.4444444444

                      = 218

5 parts   =  5 x 54.4444444444

                    =  272



10)  

 Divide 430 in the ratio 4 : 8

4 parts Answer: 143

8 parts Answer: 287


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 =  430

         1 parts    =   43012

                         =35.8333333333

4 parts    =  4 x 35.8333333333

                      = 143

8 parts   =  8 x 35.8333333333

                    =  287