## Determine If the Ratios in the Table are in Direct Variation

Name
Date

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.
 4 12 16 20 6 18 24 30
Here the ratios are
46
=
23
,
1218
=
23
,
1624
=
23
,
2030
=
23
46
=
1218
=
1624
=
2030
Here all the ratios are equal
∴ 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.
 6 30 36 54 8 40 48 72
Here the ratios are
68
=
34
,
3040
=
34
,
3648
=
34
,
5472
=
34
68
=
3040
=
3648
=
5472
Here all the ratios are equal
∴ 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.
 5 20 40 45 6 24 48 54
Here the ratios are
56
=
56
,
2024
=
56
,
4048
=
56
,
4554
=
56
56
=
2024
=
4048
=
4554
Here all the ratios are equal
∴ 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.
 3 6 18 21 4 48 44 44
Here the ratios are
34
=
34
,
648
=
18
,
1844
=
922
,
2144
=
2144
34
648
1844
2144
Here all the ratios are not equal
∴ 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
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
39
=
13
,
1236
=
13
,
1854
=
13
,
3090
=
13
39
=
1236
=
1854
=
3090
Here all the ratios are equal
∴ 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
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
58
=
58
,
2032
=
58
,
2540
=
58
,
5080
=
58
58
=
2032
=
2540
=
5080
Here all the ratios are equal
∴ 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.
 2 4 10 14 4 56 40 36
Here the ratios are
24
=
12
,
456
=
114
,
1040
=
14
,
1436
=
718
24
456
1040
1436
Here all the ratios are not equal
∴ 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.
 3 6 15 24 8 80 96 80
Here the ratios are
38
=
38
,
680
=
340
,
1596
=
532
,
2480
=
310
38
680
1596
2480
Here all the ratios are not equal
∴ 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
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
89
=
89
,
1618
=
89
,
6472
=
89
,
8090
=
89
89
=
1618
=
6472
=
8090
Here all the ratios are equal
∴ 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
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
45
=
45
,
810
=
45
,
1215
=
45
,
1620
=
45
45
=
810
=
1215
=
1620
Here all the ratios are equal
∴ They are in direction variation

# Verify If the Ratios are in Proportion Worksheet

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.

How to Use this Worksheet

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.

Answers Key

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.

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