4 | 16 | 20 | 12 |

6 | 24 | 30 | 18 |

Determine if the ratios are in direct variation worksheets, solved worksheet problems or exercises with step-by-step work, formative assessment as online test, calculator and more learning resources to learn, practice, assess and master the basic math skills of **ratio and proportion**.

Determine If the Ratios are in Direct Variation

Name
Grade
School

Date
Questions10
Score

1

Check if the below values in the ratio table represents direct variation?

4 | 16 | 20 | 12 |

6 | 24 | 30 | 18 |

2

Check if the below values in the ratio table represents direct variation?

6 | 30 | 36 | 54 |

8 | 40 | 48 | 72 |

3

Check if the below values in the ratio table represents direct variation?

5 | 45 | 40 | 20 |

6 | 54 | 48 | 24 |

4

Check if the below values in the ratio table represents direct variation?

3 | 18 | 6 | 21 |

4 | 44 | 48 | 44 |

5

Check if the below values in the ratio table represents direct variation?

3 | 18 | 12 | 30 |

9 | 54 | 36 | 90 |

6

Check if the below values in the ratio table represents direct variation?

5 | 50 | 20 | 25 |

8 | 80 | 32 | 40 |

7

Check if the below values in the ratio table represents direct variation?

2 | 10 | 14 | 4 |

4 | 40 | 36 | 56 |

8

Check if the below values in the ratio table represents direct variation?

3 | 15 | 6 | 24 |

8 | 96 | 80 | 80 |

9

Check if the below values in the ratio table represents direct variation?

8 | 16 | 80 | 64 |

9 | 18 | 90 | 72 |

10

Check if the below values in the ratio table represents direct variation?

4 | 16 | 8 | 12 |

5 | 20 | 10 | 15 |

Solved Worksheet Problems

Show All Workout

1

Check if the below values in the ratio table represents direct variation?

4 | 16 | 20 | 12 |

6 | 24 | 30 | 18 |

From the above data, the simplest form of all ratios are equal to each other. Therefore, all the ratios are in direct variation

Solution

Arrange the data in ascending order.

Here the ratios are Here all the ratios are equal

∴ They are in direction variation

4 | 12 | 16 | 20 |

6 | 18 | 24 | 30 |

46

=

23

,

1218

=

23

,

1624

=

23

,

2030

=

23

∴

46

=

1218

=

1624

=

2030

∴ They are in direction variation

2

Check if the below values in the ratio table represents direct variation?

6 | 30 | 36 | 54 |

8 | 40 | 48 | 72 |

From the above data, the simplest form of all ratios are equal to each other. Therefore, all the ratios are in direct variation

Solution

Arrange the data in ascending order.

Here the ratios are Here all the ratios are equal

∴ They are in direction variation

6 | 30 | 36 | 54 |

8 | 40 | 48 | 72 |

68

=

34

,

3040

=

34

,

3648

=

34

,

5472

=

34

∴

68

=

3040

=

3648

=

5472

∴ They are in direction variation

3

Check if the below values in the ratio table represents direct variation?

5 | 45 | 40 | 20 |

6 | 54 | 48 | 24 |

From the above data, the simplest form of all ratios are equal to each other. Therefore, all the ratios are in direct variation

Solution

Arrange the data in ascending order.

Here the ratios are Here all the ratios are equal

∴ They are in direction variation

5 | 20 | 40 | 45 |

6 | 24 | 48 | 54 |

56

=

56

,

2024

=

56

,

4048

=

56

,

4554

=

56

∴

56

=

2024

=

4048

=

4554

∴ They are in direction variation

4

Check if the below values in the ratio table represents direct variation?

3 | 18 | 6 | 21 |

4 | 44 | 48 | 44 |

From the above data, the simplest form of all ratios are not equal to each other. Therefore, the ratios in the table are not in direct variation

Solution

Arrange the data in ascending order.

Here the ratios are Here all the ratios are not equal

∴ They are not direction variation

3 | 6 | 18 | 21 |

4 | 48 | 44 | 44 |

34

=

34

,

648

=

18

,

1844

=

922

,

2144

=

2144

∴

34

≠

648

≠

1844

≠

2144

∴ They are not direction variation

5

Check if the below values in the ratio table represents direct variation?

3 | 18 | 12 | 30 |

9 | 54 | 36 | 90 |

Solution

Arrange the data in ascending order.

Here the ratios are Here all the ratios are equal

∴ They are in direction variation

3 | 12 | 18 | 30 |

9 | 36 | 54 | 90 |

39

=

13

,

1236

=

13

,

1854

=

13

,

3090

=

13

∴

39

=

1236

=

1854

=

3090

∴ They are in direction variation

6

Check if the below values in the ratio table represents direct variation?

5 | 50 | 20 | 25 |

8 | 80 | 32 | 40 |

Solution

Arrange the data in ascending order.

Here the ratios are Here all the ratios are equal

∴ They are in direction variation

5 | 20 | 25 | 50 |

8 | 32 | 40 | 80 |

58

=

58

,

2032

=

58

,

2540

=

58

,

5080

=

58

∴

58

=

2032

=

2540

=

5080

∴ They are in direction variation

7

Check if the below values in the ratio table represents direct variation?

2 | 10 | 14 | 4 |

4 | 40 | 36 | 56 |

From the above data, the simplest form of all ratios are not equal to each other. Therefore, the ratios in the table are not in direct variation

Solution

Arrange the data in ascending order.

Here the ratios are Here all the ratios are not equal

∴ They are not direction variation

2 | 4 | 10 | 14 |

4 | 56 | 40 | 36 |

24

=

12

,

456

=

114

,

1040

=

14

,

1436

=

718

∴

24

≠

456

≠

1040

≠

1436

∴ They are not direction variation

8

Check if the below values in the ratio table represents direct variation?

3 | 15 | 6 | 24 |

8 | 96 | 80 | 80 |

From the above data, the simplest form of all ratios are not equal to each other. Therefore, the ratios in the table are not in direct variation

Solution

Arrange the data in ascending order.

Here the ratios are Here all the ratios are not equal

∴ They are not direction variation

3 | 6 | 15 | 24 |

8 | 80 | 96 | 80 |

38

=

38

,

680

=

340

,

1596

=

532

,

2480

=

310

∴

38

≠

680

≠

1596

≠

2480

∴ They are not direction variation

9

Check if the below values in the ratio table represents direct variation?

8 | 16 | 80 | 64 |

9 | 18 | 90 | 72 |

Solution

Arrange the data in ascending order.

Here the ratios are Here all the ratios are equal

∴ They are in direction variation

8 | 16 | 64 | 80 |

9 | 18 | 72 | 90 |

89

=

89

,

1618

=

89

,

6472

=

89

,

8090

=

89

∴

89

=

1618

=

6472

=

8090

∴ They are in direction variation

10

Check if the below values in the ratio table represents direct variation?

4 | 16 | 8 | 12 |

5 | 20 | 10 | 15 |

Solution

Arrange the data in ascending order.

Here the ratios are Here all the ratios are equal

∴ They are in direction variation

4 | 8 | 12 | 16 |

5 | 10 | 15 | 20 |

45

=

45

,

810

=

45

,

1215

=

45

,

1620

=

45

∴

45

=

810

=

1215

=

1620

∴ They are in direction variation

Question:

Determine if the ratios 3:15:6 & 4:20:8 are in proportion?

Answer:

Determine if the ratios 3:15:6 & 4:20:8 are in proportion?

Answer:

step 1

Given Ratios are 3:15:6 & 4:20:8

Find the proportion value of each inputs

All the results are equal to each other.

Hence, the given ratios are in proportion.

Find the proportion value of each inputs

34

= 0.75

1520

= 0.75

68

= 0.75

Hence, the given ratios are in proportion.