Determine If the Ratios in the Table are in Direct Variation

Name Grade School
Date Questions10 Score

1
Check if the below values in the ratio table represents direct variation?
4162012
6243018
2
Check if the below values in the ratio table represents direct variation?
6303654
8404872
3
Check if the below values in the ratio table represents direct variation?
5454020
6544824
4
Check if the below values in the ratio table represents direct variation?
318621
4444844
5
Check if the below values in the ratio table represents direct variation?
3181230
9543690
6
Check if the below values in the ratio table represents direct variation?
5502025
8803240
7
Check if the below values in the ratio table represents direct variation?
210144
4403656
8
Check if the below values in the ratio table represents direct variation?
315624
8968080
9
Check if the below values in the ratio table represents direct variation?
8168064
9189072
10
Check if the below values in the ratio table represents direct variation?
416812
5201015

Answers Key
Show All Workout
1
Check if the below values in the ratio table represents direct variation?
4162012
6243018
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.
4121620
6182430
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?
6303654
8404872
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.
6303654
8404872
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?
5454020
6544824
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.
5204045
6244854
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?
318621
4444844
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.
361821
4484444
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?
3181230
9543690
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.
3121830
9365490
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?
5502025
8803240
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.
5202550
8324080
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?
210144
4403656
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.
241014
4564036
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?
315624
8968080
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.
361524
8809680
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?
8168064
9189072
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.
8166480
9187290
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?
416812
5201015
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.
481216
5101520
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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