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 320 in the ratio 2 : 8

2 parts

8 parts


Answer:_______________




2)  

 Divide 260 in the ratio 3 : 5

3 parts

5 parts


Answer:_______________




3)  

 Divide 380 in the ratio 4 : 6

4 parts

6 parts


Answer:_______________




4)  

 Divide 240 in the ratio 2 : 6

2 parts

6 parts


Answer:_______________




5)  

 Divide 210 in the ratio 3 : 8

3 parts

8 parts


Answer:_______________




6)  

 Divide 390 in the ratio 3 : 6

3 parts

6 parts


Answer:_______________




7)  

 Divide 260 in the ratio 4 : 8

4 parts

8 parts


Answer:_______________




8)  

 Divide 350 in the ratio 2 : 6

2 parts

6 parts


Answer:_______________




9)  

 Divide 460 in the ratio 4 : 5

4 parts

5 parts


Answer:_______________




10)  

 Divide 490 in the ratio 3 : 6

3 parts

6 parts


Answer:_______________




 

1)  

 Divide 320 in the ratio 2 : 8

2 parts Answer: 64

8 parts Answer: 256


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 =  320

         1 parts    =   32010

                         =32

2 parts    =  2 x 32

                      = 64

8 parts   =  8 x 32

                    =  256



2)  

 Divide 260 in the ratio 3 : 5

3 parts Answer: 98

5 parts Answer: 163


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 =  260

         1 parts    =   2608

                         =32.5

3 parts    =  3 x 32.5

                      = 98

5 parts   =  5 x 32.5

                    =  163



3)  

 Divide 380 in the ratio 4 : 6

4 parts Answer: 152

6 parts Answer: 228


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 =  380

         1 parts    =   38010

                         =38

4 parts    =  4 x 38

                      = 152

6 parts   =  6 x 38

                    =  228



4)  

 Divide 240 in the ratio 2 : 6

2 parts Answer: 60

6 parts Answer: 180


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 =  240

         1 parts    =   2408

                         =30

2 parts    =  2 x 30

                      = 60

6 parts   =  6 x 30

                    =  180



5)  

 Divide 210 in the ratio 3 : 8

3 parts Answer: 57

8 parts Answer: 153


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 =  210

         1 parts    =   21011

                         =19.0909090909

3 parts    =  3 x 19.0909090909

                      = 57

8 parts   =  8 x 19.0909090909

                    =  153



6)  

 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

                         =43.3333333333

3 parts    =  3 x 43.3333333333

                      = 130

6 parts   =  6 x 43.3333333333

                    =  260



7)  

 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

                         =21.6666666667

4 parts    =  4 x 21.6666666667

                      = 87

8 parts   =  8 x 21.6666666667

                    =  173



8)  

 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



9)  

 Divide 460 in the ratio 4 : 5

4 parts Answer: 204

5 parts Answer: 256


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 =  460

         1 parts    =   4609

                         =51.1111111111

4 parts    =  4 x 51.1111111111

                      = 204

5 parts   =  5 x 51.1111111111

                    =  256



10)  

 Divide 490 in the ratio 3 : 6

3 parts Answer: 163

6 parts Answer: 327


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 =  490

         1 parts    =   4909

                         =54.4444444444

3 parts    =  3 x 54.4444444444

                      = 163

6 parts   =  6 x 54.4444444444

                    =  327