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Grade 7 Math · Rational Numbers

Grade 7 Rational Numbers Practice Test

Build Grade 7 Math skills with five 10-question practice tests on fractions, decimals, number lines, absolute value, comparison, operations, equations, and real-world applications.

Rational Numbers Practice Tests

These Grade 7 Math practice tests help students represent, compare, and operate with rational numbers. Students work with fractions, decimals, integers, mixed numbers, number lines, absolute value, addition, subtraction, multiplication, division, equations, and real-world applications.

Skills covered

  • Writing rational numbers as fractions, decimals, integers, and mixed numbers
  • Using number lines, opposites, absolute value, and equivalent representations
  • Comparing and ordering positive and negative rational numbers
  • Adding and subtracting rational numbers with common and unlike denominators
  • Multiplying and dividing rational numbers and applying sign rules
  • Solving equations and using rational numbers in rate, temperature, money, recipe, and area problems

How to use these practice tests

Rewrite numbers in equivalent forms when helpful. For fractions, use a common denominator for addition and subtraction, and multiply by a reciprocal when dividing. Track signs carefully, apply the order of operations, simplify final answers, and estimate to check whether the result is reasonable.

For more Grade 7 Math practice, return to the Grade 7 Math category.

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Grade 7 Rational Numbers Practice Tests

A 10-question Grade 7 Math practice test on rational number representations, fractions, decimals, number lines, comparison, absolute value, operations, equations, and applications.

Use equivalent fractions, decimal representations, number lines, operation rules, and estimation to solve each Grade 7 rational numbers question.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is 23⋅94\frac{2}{3}\cdot\frac{9}{4}?

Please select an answer first.

Correct answer: A

The correct answer is 32\frac{3}{2}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Multiply and simplify: 2⋅93⋅4=1812=32\frac{2\cdot9}{3\cdot4}=\frac{18}{12}=\frac{3}{2}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Multiply and simplify: 2⋅93⋅4=1812=32\frac{2\cdot9}{3\cdot4}=\frac{18}{12}=\frac{3}{2}.

2. QuestionMultiple choice

What is −56⋅310-\frac{5}{6}\cdot\frac{3}{10}?

Please select an answer first.

Correct answer: B

The correct answer is −14-\frac{1}{4}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: There is one negative factor, and 1560=14\frac{15}{60}=\frac{1}{4}, so the product is −14-\frac{1}{4}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

There is one negative factor, and 1560=14\frac{15}{60}=\frac{1}{4}, so the product is −14-\frac{1}{4}.

3. QuestionMultiple choice

What is (−78)÷1415(-\frac{7}{8})\div\frac{14}{15}?

Please select an answer first.

Correct answer: C

The correct answer is −1516-\frac{15}{16}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Multiply by the reciprocal: −78⋅1514=−105112=−1516-\frac{7}{8}\cdot\frac{15}{14}=-\frac{105}{112}=-\frac{15}{16}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Multiply by the reciprocal: −78⋅1514=−105112=−1516-\frac{7}{8}\cdot\frac{15}{14}=-\frac{105}{112}=-\frac{15}{16}.

4. QuestionMultiple choice

What is −35÷−910-\frac{3}{5}\div-\frac{9}{10}?

Please select an answer first.

Correct answer: D

The correct answer is 23\frac{2}{3}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Two negative signs produce a positive, and −35⋅−109=3045=23-\frac{3}{5}\cdot-\frac{10}{9}=\frac{30}{45}=\frac{2}{3}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Two negative signs produce a positive, and −35⋅−109=3045=23-\frac{3}{5}\cdot-\frac{10}{9}=\frac{30}{45}=\frac{2}{3}.

5. QuestionMultiple choice

What is the reciprocal of 47\frac{4}{7}?

Please select an answer first.

Correct answer: A

The correct answer is 74\frac{7}{4}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: The reciprocal switches the numerator and denominator, so the reciprocal of 47\frac{4}{7} is 74\frac{7}{4}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

The reciprocal switches the numerator and denominator, so the reciprocal of 47\frac{4}{7} is 74\frac{7}{4}.

6. QuestionMultiple choice

What is the sign of a product with exactly one negative factor?

Please select an answer first.

Correct answer: B

The correct answer is Negative.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: A product with an odd number of negative factors is negative.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

A product with an odd number of negative factors is negative.

7. QuestionMultiple choice

What is 59÷0\frac{5}{9}\div0?

Please select an answer first.

Correct answer: C

The correct answer is Undefined.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Division by zero is undefined because no number multiplied by zero can produce 59\frac{5}{9}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Division by zero is undefined because no number multiplied by zero can produce 59\frac{5}{9}.

8. QuestionMultiple choice

What is 112⋅231\frac{1}{2}\cdot\frac{2}{3}?

Please select an answer first.

Correct answer: D

The correct answer is 11.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Convert 112=321\frac{1}{2}=\frac{3}{2}, then 32⋅23=1\frac{3}{2}\cdot\frac{2}{3}=1.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Convert 112=321\frac{1}{2}=\frac{3}{2}, then 32⋅23=1\frac{3}{2}\cdot\frac{2}{3}=1.

9. QuestionMultiple choice

What is (−23)2\left(-\frac{2}{3}\right)^2?

Please select an answer first.

Correct answer: A

The correct answer is 49\frac{4}{9}.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: An even exponent makes the result positive: (−23)2=49\left(-\frac{2}{3}\right)^2=\frac{4}{9}.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

An even exponent makes the result positive: (−23)2=49\left(-\frac{2}{3}\right)^2=\frac{4}{9}.

10. QuestionMultiple choice

What is 34÷18\frac{3}{4}\div\frac{1}{8}?

Please select an answer first.

Correct answer: B

The correct answer is 66.

  1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
  2. Use equivalent representations: Multiply by the reciprocal: 34⋅81=244=6\frac{3}{4}\cdot\frac{8}{1}=\frac{24}{4}=6.
  3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Multiply by the reciprocal: 34⋅81=244=6\frac{3}{4}\cdot\frac{8}{1}=\frac{24}{4}=6.

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Frequently asked questions about Grade 7 Rational Numbers

What topics are covered?

The page covers rational number definitions, equivalent fractions, decimals, integers, mixed numbers, number lines, comparison, absolute value, addition, subtraction, multiplication, division, equations, and applications.

How should students solve rational number problems?

Choose an equivalent form, apply the correct operation rule, track signs, simplify the answer, and use estimation or a number line to check the result.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Rational Numbers questions in total.