Certainly! Below is a sample unit test focused on multiplying and dividing rational numbers, suitable for seventh-grade students. The test includes a variety of question types to assess students' understanding.
7th Grade Rational Numbers Unit Test: Multiplication and Division
Name: ___________________________
Date: ___________________________
Instructions: Answer all questions. Show your work where necessary.
Part A: Multiplying Rational Numbers
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(2 points) Multiply the following:
\(\frac{3}{4} \times \frac{2}{5}\)
Answer: ____________________ -
(2 points) Calculate:
\(-\frac{7}{10} \times \frac{3}{8}\)
Answer: ____________________ -
(3 points) What is the product of the following rational numbers?
\(4 \times \left(-\frac{1}{3}\right)\)
Answer: ____________________ -
(3 points) Solve the multiplication:
\(\frac{-2}{5} \times \frac{-3}{4}\)
Answer: ____________________
Part B: Dividing Rational Numbers
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(2 points) Divide the following:
\(\frac{5}{6} \div \frac{2}{3}\)
Answer: ____________________ -
(2 points) Calculate:
\(-\frac{4}{5} \div \frac{2}{9}\)
Answer: ____________________ -
(3 points) What is the result of the division?
\(3 \div \left(-\frac{1}{4}\right)\)
Answer: ____________________ -
(3 points) Solve the division:
\(\frac{-5}{8} \div \frac{-2}{3}\)
Answer: ____________________
Part C: Word Problems
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(4 points) A recipe calls for \( \frac{3}{4} \) of a cup of sugar. If you want to make half of the recipe, how much sugar will you need?
Answer: ____________________ -
(4 points) A tank can be filled at a rate of \( \frac{1}{2} \) of a tank per hour. How many hours will it take to fill the entire tank?
Answer: ____________________
Part D: Mixed Operations
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(5 points) Simplify the expression:
\( \left(-\frac{3}{5} \times \frac{10}{3}\right) \div \left(-\frac{2}{9}\right) \)
Answer: ____________________ -
(5 points) Calculate:
\( \frac{2}{3} \times \frac{6}{7} \div \frac{1}{2} \)
Answer: ____________________
Total Possible Points: 40
Grading Rubric
- Correct answer: 1-5 points depending on the complexity.
- Partial credit can be given for showing work or partial solutions.
Teacher's Comments:
End of Test
Feel free to adjust the numbers or the format based on your specific curriculum needs!
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