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Find the Missing Value in the Direct Variation: Worksheets, Online Test and Calculators

Find the missing value in the 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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Find the Missing Value in the Direct Variation
Name Grade School
Date Questions10 Score
1
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?
2
What is the cost of apples weighing 5 lbs, if the cost of apples weighing 10 lbs is $30?
3
The cost of 2 lbs whole wheat is $10. Find the cost of 9 lbs whole wheat?
4
The cost of 5 chairs is $90. Find the numbers of such chairs that can be purchased for $198?
5
Jacob buys 7 tennis balls for $28. How much will he spend to buy 13 tennis balls at the same rate?
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
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?
9
If 15 persons can bulid a wall length of 7500 feet, how many persons are required to build a wall length of 1000 feet.
10
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?

Solved Worksheet Problems
Show All Workout
1
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
2
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
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
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
5
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
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
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
9
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.
10
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

Worksheet: Find the Missing Value in the Direct Variation

Find the missing value in the direct variation worksheet is the largest collection of practice problems and solved exercises which can be served as homework, classwork or assignment problems for the students to learn, practice, assess, iterate and master the skills of how to solve such ratio and proportion problems in basic mathematics.

Online Test
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The cost of 7 lbs whole wheat is $35. Find the cost of 3 lbs whole wheat?
A flight of American Airlines has covered the distance of 6300 miles in 21 hours. How much average distance does it cover in 7 hours?
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?
Jacob buys 16 tennis balls for $64. How much will he spend to buy 12 tennis balls at the same rate?
Maria buys 19 tennis balls for $76. How much will she spend to buy 7 tennis balls at the same rate?
A car needs 3 gallons of gas to cover a distance of 21 miles. How much gallon of gas will be required for the car to cover a distance of 42 miles?
On her trip, Jason takes an average 10 hours to travel 100 miles. How much distance he will travel in 19 hours?
Amy buys 20 tennis balls for $80. How much will she spend to buy 3 tennis balls at the same rate?
If 12 persons can bulid a wall length of 6000 feet, how many persons are required to build a wall length of 9500 feet.
The cost of uniforms for 11 students is $132. How many students can get uniform for $84?
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Online Test: Find the Missing Value in the Direct Variation

This online test to find the missing value in the direct variation is a formative assessment which can be used as homework, classwork or assignment problems to assess and improve the learner's math skills on ratio and proportion.

Missing Number in Proportion Calculator

: :
3:6 :: 5:10
x = 5
show workout

Work with steps - Find Missing Number in Proportion

Question:
Find the unknown value of x in the proportion.
3:6 :: x:10
Answer:
step 1
Write the given ratios in fraction form
3:6 =
36
x:10 =
x10
step 2
Find the Means & Extremes
36
=
x10
3 x 10 = x x 6
Extremes = 3, 10
Means = 6, x
step 3
Rearrange the statement to find x
x =
3 x 106
x = 5
step 4
The missing term in the proportion is 5
Therefore the proportion is 3:6 = 5:10

Missing number in proportion calculator is a key tool for users to generate step-by-step work to quickly understand the calculation, solve the homework problems, solve the classwork problems, prepare the answer key document for summative and formative assessments or immediately verify the entire calculation for the user supplied input values.