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 480 in the ratio 2 : 6

2 parts

6 parts


Answer:_______________




2)  

 Divide 250 in the ratio 3 : 7

3 parts

7 parts


Answer:_______________




3)  

 Divide 280 in the ratio 3 : 8

3 parts

8 parts


Answer:_______________




4)  

 Divide 480 in the ratio 4 : 5

4 parts

5 parts


Answer:_______________




5)  

 Divide 350 in the ratio 2 : 7

2 parts

7 parts


Answer:_______________




6)  

 Divide 470 in the ratio 4 : 8

4 parts

8 parts


Answer:_______________




7)  

 Divide 240 in the ratio 4 : 8

4 parts

8 parts


Answer:_______________




8)  

 Divide 460 in the ratio 2 : 6

2 parts

6 parts


Answer:_______________




9)  

 Divide 380 in the ratio 3 : 8

3 parts

8 parts


Answer:_______________




10)  

 Divide 350 in the ratio 2 : 6

2 parts

6 parts


Answer:_______________




 

1)  

 Divide 480 in the ratio 2 : 6

2 parts Answer: 120

6 parts Answer: 360


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 =  480

         1 parts    =   4808

                         =60

2 parts    =  2 x 60

                      = 120

6 parts   =  6 x 60

                    =  360



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 280 in the ratio 3 : 8

3 parts Answer: 76

8 parts Answer: 204


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 =  280

         1 parts    =   28011

                         =25.454545454545

3 parts    =  3 x 25.454545454545

                      = 76

8 parts   =  8 x 25.454545454545

                    =  204



4)  

 Divide 480 in the ratio 4 : 5

4 parts Answer: 213

5 parts Answer: 267


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 =  480

         1 parts    =   4809

                         =53.333333333333

4 parts    =  4 x 53.333333333333

                      = 213

5 parts   =  5 x 53.333333333333

                    =  267



5)  

 Divide 350 in the ratio 2 : 7

2 parts Answer: 78

7 parts Answer: 272


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 =  350

         1 parts    =   3509

                         =38.888888888889

2 parts    =  2 x 38.888888888889

                      = 78

7 parts   =  7 x 38.888888888889

                    =  272



6)  

 Divide 470 in the ratio 4 : 8

4 parts Answer: 157

8 parts Answer: 313


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 =  470

         1 parts    =   47012

                         =39.166666666667

4 parts    =  4 x 39.166666666667

                      = 157

8 parts   =  8 x 39.166666666667

                    =  313



7)  

 Divide 240 in the ratio 4 : 8

4 parts Answer: 80

8 parts Answer: 160


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 =  240

         1 parts    =   24012

                         =20

4 parts    =  4 x 20

                      = 80

8 parts   =  8 x 20

                    =  160



8)  

 Divide 460 in the ratio 2 : 6

2 parts Answer: 115

6 parts Answer: 345


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 =  460

         1 parts    =   4608

                         =57.5

2 parts    =  2 x 57.5

                      = 115

6 parts   =  6 x 57.5

                    =  345



9)  

 Divide 380 in the ratio 3 : 8

3 parts Answer: 104

8 parts Answer: 276


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 =  380

         1 parts    =   38011

                         =34.545454545455

3 parts    =  3 x 34.545454545455

                      = 104

8 parts   =  8 x 34.545454545455

                    =  276



10)  

 Divide 350 in the ratio 2 : 6

2 parts Answer: 88

6 parts Answer: 263


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 =  350

         1 parts    =   3508

                         =43.75

2 parts    =  2 x 43.75

                      = 88

6 parts   =  6 x 43.75

                    =  263