7th Grade Assessment

  • 7th Grade Assessment

  • Please answer all questions to the best of your ability. There are 18 content questions. Calculators are not permitted.

  • What is your name?

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  • Find the above unit rate in mi/gal. Simplify your answer as much as possible.*
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  • Determine if the above relationship is proportional. Explain how you know.*
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  • Identify the constant of proportionality in the above graph:*
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  • Write an equation for the given proportional relationship:*
  • Ryan ate 20% of the cake that his family was saving for a special event. If he ate 3 slices of cake, how many slices of cake were in the original cake?*
  • Simplify: -10-(-14)*
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  • Multiply. Simplify your answer as much as possible.*
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  • Convert the above number into a decimal by using long division.*
  • Jaden works in a lab and works on many different experiments. He measures out 4/6 of a liter of solution for one experiment and 5/8 of a liter for a different experiment. How many total liters did he use? Write your answer as a fraction or mixed number in simplest form.*
  • If Nora has 3.75 pounds of cookie dough and each batch of cookies uses ¾ of a pound of cookie dough, how many batches of cookies can she make?*
  • An office worker is paid $15 per hour. If they received a one-time sign-on bonus of $80, how long will it take them to make a total of $500?*
  • An empty bowl can hold a maximum amount of 96 oz. It already has 24 oz of liquid in it and you add liquid at a rate of 6 oz per minute. For how many minutes will the bowl be at less than its maximum capacity? Let m stand for the number of minutes.*
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  • What is the scale factor of the above transformation?
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  • What is the area of the above circle? Leave your answer in terms of pi.
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  • Which pair of angles are complementary to each other?
  • The AZ Department of Safety is trying to figure out how much paint they’re going to need to paint a new shipment of triangular yield signs. They measure that the height of each sign is 25 inches and each side measures 30 inches. How many square inches of paint will they need to paint one sign?
  • What is the probability of randomly choosing someone with brown eyes out of a group of people, 3 of whom have blue eyes, 7 of whom have brown eyes, and 2 of whom have green eyes? Simplify your answer as much as possible.
  • Imagine flipping 3 fair coins. What is the probability of getting 3 heads?
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