Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > High School Quizzes > Mathematics

Proportional vs Non-Proportional Practice Quiz

Master key concepts with our interactive worksheet

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Paper art depicting a trivia quiz for middle school students on mathematical proportions.

Which definition describes a proportional relationship correctly?
A relationship where two quantities have a constant ratio.
A relationship where the difference between two quantities is constant.
A relationship where one variable increases while the other decreases.
A relationship where the sum of the quantities remains constant.
A proportional relationship is defined by a constant ratio between two quantities. The other options describe different types of relationships which are not proportional.
In the ratio 3:4, if the first quantity is 9, what must the second quantity be to maintain the proportional relationship?
10
12
13
15
The scale factor is determined by dividing 9 by 3, which gives 3. Multiplying the second term 4 by this factor yields 12, ensuring the ratio remains the same.
Which graph best represents a proportional relationship?
A line that passes through the origin with a positive slope.
A line that does not pass through the origin.
A parabolic curve.
A horizontal line.
A proportional relationship, when graphed, is represented by a straight line that passes through the origin. This indicates that the ratio between the two quantities is constant.
If two quantities are proportional, what happens when one quantity is doubled?
The other quantity also doubles.
The other quantity is halved.
There is no change in the other quantity.
It results in an unpredictable change in the other quantity.
In a proportional relationship, the ratio between the two quantities remains constant. Doubling one quantity means the other must also double to maintain the same ratio.
Which of the following equations represents a proportional relationship between y and x?
y = 5x
y = 5x + 2
y = x²
y = 5/x
The equation y = 5x shows a direct proportional relationship because y is obtained by multiplying x by a constant factor. The other equations include an additional constant term or a non-linear relationship.
Given the table of values x: 2, 4, 6, 8 and y: 5, 10, 15, 20, is the relationship proportional?
Yes, because the ratio of y to x is constant.
No, because the difference between y values is irregular.
Yes, because both x and y increase.
No, because the relationship is linear but not proportional.
The ratio y/x for each pair is 2.5, indicating that the relationship is proportional. Consistency in the ratio is the key factor in establishing proportionality.
A recipe requires 3 cups of flour to 2 cups of sugar. For a double batch, how many cups of sugar are needed?
3 cups
4 cups
6 cups
5 cups
Doubling the recipe means both ingredients are multiplied by 2. Thus, sugar increases from 2 cups to 4 cups, maintaining the proportional relationship.
Find the missing number in the proportion: 8/x = 12/18.
10
11
12
13
Cross multiplying gives 8 × 18 = 12x. Solving for x, we find x = 144/12 = 12, which maintains the balance of the proportion.
In the direct proportion y = kx, if y equals 15 when x equals 3, what is the constant k?
3
5
8
15
The constant k is found by dividing y by x, which gives 15/3 = 5. This constant multiplier defines the proportionality between x and y.
Which statement is always true about proportional relationships?
They always pass through the point (0,0).
They have a non-zero y-intercept.
They form quadratic curves.
They do not have a constant ratio.
A key property of proportional relationships is that they always pass through the origin (0,0). This is because when one quantity is zero, the other must also be zero to maintain the constant ratio.
What is the most effective method for determining if two quantities are proportional?
Checking if their ratio remains constant.
Examining if their product is constant.
Comparing their sum and difference.
Observing if the graph of the relationship is curved.
A constant ratio confirms that the quantities are proportional. The other methods do not reliably indicate a fixed relationship between the quantities.
A map is drawn to scale with 1 inch representing 20 miles. How many miles does a distance of 3.5 inches on the map represent?
60 miles
70 miles
80 miles
100 miles
Multiplying the map distance by the scale factor (3.5 inches × 20 miles per inch) gives 70 miles. This calculation uses the principles of proportionality.
If y is directly proportional to x and y equals 24 when x is 4, what is y when x is 7?
28
42
48
56
First, determine the constant k by dividing y by x (24/4 = 6). Then, multiply k by the new x value (6 × 7 = 42) to find y, maintaining proportionality.
Examine the pairs (5, 10) and (10, 18). Do these pairs represent a proportional relationship?
Yes, because both pairs show a doubling pattern.
No, because the ratios are not equal.
Yes, because the differences are consistent.
No, because the values do not increase by the same amount.
For a relationship to be proportional, the ratios must be identical. In this case, 10/5 equals 2 while 18/10 equals 1.8, so the ratios differ and the relationship is not proportional.
A store sells 8 notebooks for $12 under a proportional pricing model. How much would 15 notebooks cost?
$20.00
$22.50
$24.00
$26.00
First, determine the price per notebook, which is $12 divided by 8 ($1.50 per notebook). Multiplying $1.50 by 15 yields a total cost of $22.50.
Solve for x in the proportion: (2x - 3)/7 = (3x + 4)/14.
8
9
10
11
Cross multiplying gives 14(2x - 3) = 7(3x + 4), which simplifies to 28x - 42 = 21x + 28. Solving for x, we find that x = 10, maintaining the proportional equality.
If 3/5 of a number equals 18, what is the number?
25
30
36
45
Multiplying both sides by the reciprocal of 3/5 (which is 5/3) gives the number as 18 × (5/3) = 30. This use of inverse operations confirms the proportional relationship.
Determine the constant k that makes the following set of pairs proportional: (2, k), (4, 10), (6, 15).
4
5
6
7
For the pairs to be proportional, the ratio y/x must be constant. Since 10/4 and 15/6 both equal 2.5, the first pair must have k = 2 * 2.5, which is 5.
Which equation best represents a scenario where the relationship between two variables is not proportional?
y = 4x
y = 4x - 3
y = 4
y = 2/x
The equation y = 4x - 3 is linear but not proportional because it does not pass through the origin due to the -3 term. Proportional relationships require a zero y-intercept, making this equation non-proportional.
A car travels at a constant speed and covers 150 miles in 3 hours. How many miles will it travel in 5 hours?
200 miles
230 miles
250 miles
275 miles
A constant speed implies a proportional relationship between time and distance. With a speed of 150/3 = 50 miles per hour, multiplying by 5 hours gives 250 miles.
0
{"name":"Which definition describes a proportional relationship correctly?", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"Which definition describes a proportional relationship correctly?, In the ratio 3:4, if the first quantity is 9, what must the second quantity be to maintain the proportional relationship?, Which graph best represents a proportional relationship?","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Analyze proportional relationships by identifying consistent ratios between quantities.
  2. Differentiate between proportional and non-proportional scenarios through puzzle data.
  3. Apply mathematical problem-solving strategies to solve proportion-based puzzles.
  4. Interpret real-world contexts to evaluate and justify proportional relationships.

Proportional vs Non-Proportional Cheat Sheet

  1. Grasp the Constant k - In a proportional relationship, the ratio y/x is always the same, which we call k. This superstar constant turns the equation into y = kx, making it easy to hop between variables. Proportional Equation Worksheet
    2. Proportional Equation Worksheet
  2. Spot the Straight Line - If your graph is a straight line slicing right through the origin (0,0), you're dealing with proportional pals! It's a visual party trick that instantly proves proportionality. Graph Your Proportions
    3. Proportional Graphs Guide
  3. Table Detective - Become a data sleuth by checking if each y/x division gives the same k. Consistent ratios in a table mean you've nailed a proportional relationship. Table Exploration Worksheet
    4. Table Exploration Worksheet
  4. Non‑Proportional Clues - Watch out for graphs that don't start at zero or curve weirdly - these tricksters aren't proportional. Spotting an intercept b ≠ 0 is your red flag. Graph Recognizer
    5. Non‑Proportional Graphs Info
  5. Equation Ninjas - When you see y = mx + b with b ≠ 0, you've entered the non‑proportional zone. That extra b tells you the line starts above or below the origin. Linear Relationship Comparison
    6. Linear Relationship Comparison
  6. Practice Makes Perfect - Level up by solving y = kx equations; tweak k, swap x and y, and watch how the graph reacts. Repetition cements your proportion powers. More Practice Problems
    7. More Practice Problems
  7. Real‑World Speed Runs - Think about cars zooming at steady speeds: distance and time have a proportional relationship. Contextual examples make math feel like an everyday superpower. GeoGebra Speed Demo
    8. GeoGebra Speed Demo
  8. Interactive Fun - Dive into online tools and worksheets that let you drag points or adjust sliders to see proportional vs. non‑proportional behavior come alive. Learning by doing is a blast! GeoGebra Interactive Worksheet
    9. GeoGebra Interactive Worksheet
  9. Find Your k - Never fear the constant: just divide y by x and you get k in a snap! This one‑step trick unlocks the heart of proportional relationships. k‑Finding Exercises
    10. k‑Finding Exercises
  10. Keep the Confidence High - Math is a journey of discovery. Embrace mistakes, celebrate small wins, and you'll soon master both proportional and non‑proportional relationships. You've totally got this! Stay Motivated
    11. Stay Motivated
Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Mathematics Quizzes

Powered by: Quiz Maker