4 | 16 | 20 | 12 |

6 | 24 | 30 | 18 |

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Grade
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Date
Questions10
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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 |

Answers Key

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

Determine if the given ratios are in (proportion) direct variation worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to verify if the given ratios are equivalent or in proportional.

In this sixth grade ratio & proportion worksheet, students are required to check if the given ratios (two or more ratios) are in proportional, direct variation or equivalent.

Statement:

If two quantities are in direct variation or proportion, an increase in one quantity results in increase in another quantity in the same ratio and vice versa.

To check if the given ratios are in direct variation, write all the ratios in fraction form, write all the fractions in its simplest form and compare if all the fractions are equal. The ratios are in direct variation, if all the simplest form of ratios are equal. The ratios are not in direct variation, if any simplest form of ratio is not equal to each other.

Teachers, tutors, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to determine if the given ratios in the table are in proportion, for each problem of this worksheet.

Students, teachers, tutors or parents can generate unlimited set of questions and answers by using this "**NEW WORKSHEET**" button to prepare exam, assignments, classwork or homework problems, or step by step work on how to determine if the ratios are in direct variation.

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