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Grade 6 Math · Numerical Expressions

Grade 6 Numerical Expressions Practice Test

Build Grade 6 Math skills with five 10-question practice tests on order of operations, parentheses, exponents, equivalent expressions, variables, and evaluation.

Numerical Expressions Practice Tests

These Grade 6 Math practice tests help students read, write, simplify, and evaluate numerical and algebraic expressions. Students practice the order of operations, grouping symbols, exponents, variable substitution, equivalent expressions, distributive property, decimal and fraction values, and mathematical language.

Skills covered

  • Applying the order of operations
  • Using parentheses and other grouping symbols
  • Evaluating exponents and mixed numerical expressions
  • Translating words into algebraic expressions
  • Substituting values for variables
  • Using the distributive property and combining equivalent forms
  • Estimating and checking the reasonableness of an expression value

How to use these practice tests

Read the expression from left to right, but follow the order of operations rather than calculating every operation in reading order. Complete grouping symbols, exponents, multiplication or division, and addition or subtraction. When a variable appears, substitute the given value carefully and use parentheses when needed.

For more Grade 6 Math practice, return to the Grade 6 Math category.

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Grade 6 Numerical Expressions Practice Tests

A 10-question Grade 6 Math practice test on order of operations, parentheses, exponents, equivalent expressions, variables, and evaluation.

Read grouping symbols first, apply the order of operations, substitute values carefully, and check each result.

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

What is 232^3?

Please select an answer first.

Correct answer: A

The correct answer is 88.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 23=2×2×2=82^3 = 2 \times 2 \times 2 = 8.
  3. Check the value: Substitute carefully and compare the result with the original expression.

23=2×2×2=82^3 = 2 \times 2 \times 2 = 8.

2. QuestionMultiple choice

What is 10210^2?

Please select an answer first.

Correct answer: B

The correct answer is 100100.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 102=10×10=10010^2 = 10 \times 10 = 100.
  3. Check the value: Substitute carefully and compare the result with the original expression.

102=10×10=10010^2 = 10 \times 10 = 100.

3. QuestionMultiple choice

What is 4+324 + 3^2?

Please select an answer first.

Correct answer: C

The correct answer is 1313.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Evaluate the exponent first: 32=93^2 = 9, then 4+9=134 + 9 = 13.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Evaluate the exponent first: 32=93^2 = 9, then 4+9=134 + 9 = 13.

4. QuestionMultiple choice

What is (4+3)2(4 + 3)^2?

Please select an answer first.

Correct answer: D

The correct answer is 4949.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 4+3=74 + 3 = 7, then 72=497^2 = 49.
  3. Check the value: Substitute carefully and compare the result with the original expression.

4+3=74 + 3 = 7, then 72=497^2 = 49.

5. QuestionMultiple choice

What is 0.5×8+20.5 \times 8 + 2?

Please select an answer first.

Correct answer: A

The correct answer is 66.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Multiply first: 0.5×8=40.5 \times 8 = 4, then add 2 to get 6.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Multiply first: 0.5×8=40.5 \times 8 = 4, then add 2 to get 6.

6. QuestionMultiple choice

What is 12−(1.5×4)12 - (1.5 \times 4)?

Please select an answer first.

Correct answer: B

The correct answer is 66.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 1.5×4=61.5 \times 4 = 6, so 12−6=612 - 6 = 6.
  3. Check the value: Substitute carefully and compare the result with the original expression.

1.5×4=61.5 \times 4 = 6, so 12−6=612 - 6 = 6.

7. QuestionMultiple choice

What is 32+233^2 + 2^3?

Please select an answer first.

Correct answer: C

The correct answer is 1717.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 32=93^2 = 9 and 23=82^3 = 8, so 9+8=179 + 8 = 17.
  3. Check the value: Substitute carefully and compare the result with the original expression.

32=93^2 = 9 and 23=82^3 = 8, so 9+8=179 + 8 = 17.

8. QuestionMultiple choice

What is 2(3.5+1.5)2(3.5 + 1.5)?

Please select an answer first.

Correct answer: D

The correct answer is 1010.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 3.5+1.5=53.5 + 1.5 = 5, and 2×5=102 \times 5 = 10.
  3. Check the value: Substitute carefully and compare the result with the original expression.

3.5+1.5=53.5 + 1.5 = 5, and 2×5=102 \times 5 = 10.

9. QuestionMultiple choice

What is 12+3×2\frac{1}{2} + 3 \times 2?

Please select an answer first.

Correct answer: A

The correct answer is 6.56.5.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Multiply first: 3×2=63 \times 2 = 6, then add one half to get 6.56.5.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Multiply first: 3×2=63 \times 2 = 6, then add one half to get 6.56.5.

10. QuestionMultiple choice

What is 20÷(0.5×4)20 \div (0.5 \times 4)?

Please select an answer first.

Correct answer: B

The correct answer is 1010.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 0.5×4=20.5 \times 4 = 2, and 20÷2=1020 \div 2 = 10.
  3. Check the value: Substitute carefully and compare the result with the original expression.

0.5×4=20.5 \times 4 = 2, and 20÷2=1020 \div 2 = 10.

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Frequently asked questions about Grade 6 Numerical Expressions

What topics are covered?

The page covers order of operations, grouping symbols, exponents, numerical and algebraic expressions, variable substitution, equivalent expressions, and estimation.

Why are parentheses important?

Parentheses show which operations belong together and can change the value of an expression by changing the order of calculation.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 6 Numerical Expressions questions in total.