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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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5. Test

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

A temperature of −2.5∘-2.5^\circ rises by 4.75∘4.75^\circ. What is the new temperature?

Please select an answer first.

Correct answer: A

The correct answer is 2.25∘2.25^\circ.

  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: Add the change to the original temperature: −2.5+4.75=2.25-2.5+4.75=2.25.
  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.

Add the change to the original temperature: −2.5+4.75=2.25-2.5+4.75=2.25.

2. QuestionMultiple choice

A recipe uses 34\frac{3}{4} cup of flour per batch. How much flour is needed for 23\frac{2}{3} of a batch?

Please select an answer first.

Correct answer: B

The correct answer is 12\frac{1}{2} cup.

  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 the rate by the fraction of a batch: 34⋅23=612=12\frac{3}{4}\cdot\frac{2}{3}=\frac{6}{12}=\frac{1}{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 the rate by the fraction of a batch: 34⋅23=612=12\frac{3}{4}\cdot\frac{2}{3}=\frac{6}{12}=\frac{1}{2}.

3. QuestionMultiple choice

A cyclist travels 5125\frac{1}{2} miles in 2342\frac{3}{4} hours. What is the average speed?

Please select an answer first.

Correct answer: C

The correct answer is 22 miles per hour.

  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: Divide distance by time: 112÷114=112⋅411=2\frac{11}{2}\div\frac{11}{4}=\frac{11}{2}\cdot\frac{4}{11}=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.

Divide distance by time: 112÷114=112⋅411=2\frac{11}{2}\div\frac{11}{4}=\frac{11}{2}\cdot\frac{4}{11}=2.

4. QuestionMultiple choice

A student has $24.50 and spends 35\frac{3}{5} of it. How much is spent?

Please select an answer first.

Correct answer: D

The correct answer is $14.70.

  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 24.50⋅35=24.50⋅0.6=14.7024.50\cdot\frac{3}{5}=24.50\cdot0.6=14.70.
  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 24.50⋅35=24.50⋅0.6=14.7024.50\cdot\frac{3}{5}=24.50\cdot0.6=14.70.

5. QuestionMultiple choice

Evaluate 2−34⋅42-\frac{3}{4}\cdot4.

Please select an answer first.

Correct answer: A

The correct answer is −1-1.

  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 first: 34⋅4=3\frac{3}{4}\cdot4=3, then 2−3=−12-3=-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.

Multiply first: 34⋅4=3\frac{3}{4}\cdot4=3, then 2−3=−12-3=-1.

6. QuestionMultiple choice

Solve x+23=56x+\frac{2}{3}=\frac{5}{6}.

Please select an answer first.

Correct answer: B

The correct answer is x=16x=\frac{1}{6}.

  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: Subtract 23=46\frac{2}{3}=\frac{4}{6} from both sides: x=56−46=16x=\frac{5}{6}-\frac{4}{6}=\frac{1}{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.

Subtract 23=46\frac{2}{3}=\frac{4}{6} from both sides: x=56−46=16x=\frac{5}{6}-\frac{4}{6}=\frac{1}{6}.

7. QuestionMultiple choice

Solve 34x=98\frac{3}{4}x=\frac{9}{8}.

Please select an answer first.

Correct answer: C

The correct answer is x=32x=\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: Divide by 34\frac{3}{4} or multiply by 43\frac{4}{3}: x=98⋅43=32x=\frac{9}{8}\cdot\frac{4}{3}=\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.

Divide by 34\frac{3}{4} or multiply by 43\frac{4}{3}: x=98⋅43=32x=\frac{9}{8}\cdot\frac{4}{3}=\frac{3}{2}.

8. QuestionMultiple choice

Which expression represents a decrease of 34\frac{3}{4} from a starting value nn?

Please select an answer first.

Correct answer: D

The correct answer is n−34n-\frac{3}{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: A decrease is represented by subtraction, so the result is n−34n-\frac{3}{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.

A decrease is represented by subtraction, so the result is n−34n-\frac{3}{4}.

9. QuestionMultiple choice

A bank account changes by −78-\frac{7}{8} dollar each week for 4 weeks. What is the total change?

Please select an answer first.

Correct answer: A

The correct answer is −312-3\frac{1}{2} dollars.

  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 the weekly change by 4: 4⋅(−78)=−288=−3124\cdot(-\frac{7}{8})=-\frac{28}{8}=-3\frac{1}{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 the weekly change by 4: 4⋅(−78)=−288=−3124\cdot(-\frac{7}{8})=-\frac{28}{8}=-3\frac{1}{2}.

10. QuestionMultiple choice

A rectangle has length 2122\frac{1}{2} meters and width 35\frac{3}{5} meter. What is its area?

Please select an answer first.

Correct answer: B

The correct answer is 1121\frac{1}{2} square meters.

  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 length and width: 52⋅35=1510=32=112\frac{5}{2}\cdot\frac{3}{5}=\frac{15}{10}=\frac{3}{2}=1\frac{1}{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 length and width: 52⋅35=1510=32=112\frac{5}{2}\cdot\frac{3}{5}=\frac{15}{10}=\frac{3}{2}=1\frac{1}{2}.

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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.