Find the Missing Term in the Direct Variation Word Problems

Name Grade School
Date Questions10 Score

1
If 15 persons can bulid a wall length of 7500 feet, how many persons are required to build a wall length of 1000 feet.
2
If a person reads $180 pages from a book in 15 hours, how many pages will he read in 3 hours at the same speed?
3
The cost of 2 lbs whole wheat is $10. Find the cost of 9 lbs whole wheat?
4
Jacob buys 7 tennis balls for $28. How much will he spend to buy 13 tennis balls at the same rate?
5
A car needs 6 gallons of gas to cover a distance of 42 miles. How much gallon of gas will be required for the car to cover a distance of 119 miles?
6
The cost of uniforms for 12 students is $144. How many students can get uniform for $60?
7
On her trip, Iva takes an average 5 hours to travel 50 miles. How much distance she will travel in 8 hours?
8
A flight of American Airlines has covered the distance of 3900 miles in 13 hours. How much average distance does it cover in 7 hours?
9
What is the cost of apples weighing 5 lbs, if the cost of apples weighing 10 lbs is $30?
10
The cost of 5 chairs is $90. Find the numbers of such chairs that can be purchased for $198?

Answers Key
Show All Workout
1
If 15 persons can bulid a wall length of 7500 feet, how many persons are required to build a wall length of 1000 feet.
2 persons required to build a wall length of 1000 feet
Solution
No of personslength of wall (feet)
157500
y1000
If they are in direct variation
Total number of persons required get get decreased, if length of wall is decreased

15 : y = 7500 : 1000
y =
15 x 10007500
y = 2
2 persons are required to build a wall length of 1000 feet.
2
If a person reads $180 pages from a book in 15 hours, how many pages will he read in 3 hours at the same speed?
36 pages in 3 hours pages
Solution
Hours (hrs)No of Pages
15180
3y
If they are in direct variation,
Total number of pages reading get decreased, if hours is decreased

15 : 3 = 180 : y
y =
3 x 18015
y = 36
36 pages will read in 3 hours
3
The cost of 2 lbs whole wheat is $10. Find the cost of 9 lbs whole wheat?
$45 spend to buy 9 lbs whole wheat
Solution
Quantity (lbs)cost of whole wheat ($)
210
9y
If they are in direct variation,
Total cost of whole wheat get increased, if quantity is increased

2 : 9 = 10 : y
y =
9 x 102
y = 45
$45 spend to buy 9 lbs whole wheat
4
Jacob buys 7 tennis balls for $28. How much will he spend to buy 13 tennis balls at the same rate?
Jacob should pay $52 to buy 13Tennis balls
Solution
No of Tennis balls cost of Tennis balls ($)
728
13y
If they are in direct variation,
Total cost of Tennis balls get increased, if quantity is increased

7 : 13 = 28 : y
y =
13 x 287
y = 52
Jacob should pay $52 to buy 13Tennis balls
5
A car needs 6 gallons of gas to cover a distance of 42 miles. How much gallon of gas will be required for the car to cover a distance of 119 miles?
17 gallons of gas required to cover 119 miles
Solution
Quantity (gallon)Distance (miles)
642
y119
If they are in direct variation
Volume of gas consumption get increased, if distance increased

6 : y = 42 : 119
y =
6 x 11942
y = 17
17 gallons of gas required to cover 119 miles
6
The cost of uniforms for 12 students is $144. How many students can get uniform for $60?
5 students can get uniforms for $60
Solution
No of studentscost of uniforms ($)
12144
y60
If they are in direct variation,
Total number of uniforms get drecreased, if total cost is decreased

12 : y = 144 : 60
y =
12 x 60144
y = 5
5 students can get uniforms for $60
7
On her trip, Iva takes an average 5 hours to travel 50 miles. How much distance she will travel in 8 hours?
Iva would cover 80 miles in 8 hours
Solution
Time (hrs)Distance (miles)
550
8y
If they are in direct variation,
The distance get increased, if time is increased

5 : 8 = 50 : y
y =
8 x 505
y = 80
Iva would cover 80 miles in 8 hours
8
A flight of American Airlines has covered the distance of 3900 miles in 13 hours. How much average distance does it cover in 7 hours?
American Airlines do cover 2100 miles in 7 hours
Solution
Hours (hrs)Distance (miles)
133900
7y
If they are in direct variation
Total distance get decreased, if hours is decreased

13 : 7 = 3900 : y
y =
7 x 390013
y = 2100
American Airlines do cover 2100 miles in 7 hours
9
What is the cost of apples weighing 5 lbs, if the cost of apples weighing 10 lbs is $30?
The cost of apples weighing 5 lbs is $15
Solution
Quantity (lbs)Cost of Apples
1030
5y
If they are in direct variation
Total cost of apples get decreased, if quantity is decreased

10 : 5 = 30 : y
y =
5 x 3010
y = 15
The cost of apples weighing 5 lbs is $15
10
The cost of 5 chairs is $90. Find the numbers of such chairs that can be purchased for $198?
11 chairs can be purchased for $198
Solution
No of chairscost of chairs ($)
590
y198
If they are in direct variation
Total number of chairs increased, if total cost is increased

5 : y = 90 : 198
y =
5 x 19890
y = 11
11 chairs can be purchased for $198

Find the Antecedent or Consequent in the Direct Variation Worksheet

Find the missing term in the direct variation (word problems) 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 find the missing term (antecedent or consequent) in the ratio and proportion word problems.

How to Use this Worksheet

In this sixth grade ratio & proportion worksheet, students are required to find the missing term in the direct variation word problems. To find the missing values in the direct variation, find the value of missing antecedent or consequent the ratio in proportions. Apply the law of proportion to find the missing term in the proportion. The law of proportion states that the product of means is always equal to the product of extremes if two ratios are in direct variation or proportion.

Answers Key

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