Determine If the Ratios are in Direct Variation: Worksheets, Online Test and Calculators

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.

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Determine If the Ratios are in Direct Variation

Name Grade School

Date Questions10 Score

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

4	16	20	12
6	24	30	18

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

6	30	36	54
8	40	48	72

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

5	45	40	20
6	54	48	24

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

3	18	6	21
4	44	48	44

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

3	18	12	30
9	54	36	90

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

5	50	20	25
8	80	32	40

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

2	10	14	4
4	40	36	56

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

3	15	6	24
8	96	80	80

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

8	16	80	64
9	18	90	72

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

4	16	8	12
5	20	10	15

Solved Worksheet Problems

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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.

4	12	16	20
6	18	24	30

Here the ratios are

1218

1624

2030

∴

1218

1624

2030

Here all the ratios are equal
∴ They are in direction variation

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.

6	30	36	54
8	40	48	72

Here the ratios are

3040

3648

5472

∴

3040

3648

5472

Here all the ratios are equal
∴ They are in direction variation

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.

5	20	40	45
6	24	48	54

Here the ratios are

2024

4048

4554

∴

2024

4048

4554

Here all the ratios are equal
∴ They are in direction variation

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.

3	6	18	21
4	48	44	44

Here the ratios are

648

1844

922

2144

∴

≠

648

≠

1844

≠

2144

Here all the ratios are not equal
∴ They are not direction variation

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

3	18	12	30
9	54	36	90

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.

3	12	18	30
9	36	54	90

Here the ratios are

1236

1854

3090

∴

1236

1854

3090

Here all the ratios are equal
∴ They are in direction variation

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

5	50	20	25
8	80	32	40

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.

5	20	25	50
8	32	40	80

Here the ratios are

2032

2540

5080

∴

2032

2540

5080

Here all the ratios are equal
∴ They are in direction variation

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.

2	4	10	14
4	56	40	36

Here the ratios are

456

114

1040

1436

718

∴

≠

456

≠

1040

≠

1436

Here all the ratios are not equal
∴ They are not direction variation

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.

3	6	15	24
8	80	96	80

Here the ratios are

680

340

1596

532

2480

310

∴

≠

680

≠

1596

≠

2480

Here all the ratios are not equal
∴ They are not direction variation

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

8	16	80	64
9	18	90	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.

8	16	64	80
9	18	72	90

Here the ratios are

1618

6472

8090

∴

1618

6472

8090

Here all the ratios are equal
∴ They are in direction variation

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

4	16	8	12
5	20	10	15

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.

4	8	12	16
5	10	15	20

Here the ratios are

810

1215

1620

∴

810

1215

1620

Here all the ratios are equal
∴ They are in direction variation

Proportion Calculator

Work with steps - Are the Ratios in Proportion?

Question:
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

= 0.75

1520

= 0.75

All the results are equal to each other.
Hence, the given ratios are in proportion.

Determine If the Ratios are in Direct Variation: Worksheets, Online Test and Calculators

Worksheet: Determine If the Ratios are in Direct Variation

Proportion Calculator

Work with steps - Are the Ratios in Proportion?