Lesson Worksheet: Proportional and Nonproportional Relationships Mathematics • 7th Grade

In this worksheet, we will practice recognizing ratios that are in proportion, finding an unknown term in a proportion, and identifying proportionality in real-world problems.

Q1:

Determine whether the quantities in the following rates are proportional: 63 points scored in 7 games and 76 points scored in 10 games.

  • Anot proportional
  • Bproportional

Q2:

In the table below, the numbers in the first row are proportional to the corresponding numbers in the second row. What is the value of 𝑥?

3𝑥
46

Q3:

At a school book sale, Anthony bought 8 books for $88, and Jennifer bought 9 books for $27. Are these rates proportional?

  • AYes
  • BNo

Q4:

This year, Hannah celebrated her 10th birthday and her brother Daniel celebrated his 5th birthday. Hannah noticed that she is now twice as old as her brother. Is the relationship between their ages proportional?

  • AYes
  • BNo

Q5:

A survey showed that 5 out of 7 people wear a watch. Another survey showed that 11 out of 12 people wear a watch. Do these results show the same proportion?

  • AYes
  • BNo

Q6:

The following table represents the number of sites dug by a group of archeologists and the number of weeks they took. Does the table show a proportional relationship?

Number of Sites234
Number of Weeks121824
  • ANo
  • BYes

Q7:

The table below shows the price to mail a first-class letter for various weights. Is the cost to mail a letter proportional to its weight?

Cost ($)0.390.590.791.36
Weight (oz)1234
  • AYes
  • BNo

Q8:

Is the length of one side of the given figure proportional to its area?

  • ANo
  • BYes

Q9:

True or False: A proportion is an equation in which two or more ratios are equal.

  • ATrue
  • BFalse

Q10:

A shipping company charges $5.25 to deliver a package. In addition, they charge $0.45 for each pound over 1 lb that the package weighs. Is the cost of shipping a package proportional to the weight of the package?

  • ANo
  • BYes

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