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.

1. Test

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 3+4×23 + 4 \times 2?

Please select an answer first.

Correct answer: A

The correct answer is 1111.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Multiply first: 4×2=84 \times 2 = 8, then add 3 to get 1111.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Multiply first: 4×2=84 \times 2 = 8, then add 3 to get 1111.

2. QuestionMultiple choice

What is (3+4)×2(3 + 4) \times 2?

Please select an answer first.

Correct answer: B

The correct answer is 1414.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Evaluate the parentheses first: 3+4=73 + 4 = 7, then 7×2=147 \times 2 = 14.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Evaluate the parentheses first: 3+4=73 + 4 = 7, then 7×2=147 \times 2 = 14.

3. QuestionMultiple choice

What is 18÷3+218 \div 3 + 2?

Please select an answer first.

Correct answer: C

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: Divide first: 18÷3=618 \div 3 = 6, then add 2 to get 8.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Divide first: 18÷3=618 \div 3 = 6, then add 2 to get 8.

4. QuestionMultiple choice

What is 18÷(3+3)18 \div (3 + 3)?

Please select an answer first.

Correct answer: D

The correct answer is 33.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Evaluate the parentheses: 3+3=63 + 3 = 6, then 18÷6=318 \div 6 = 3.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Evaluate the parentheses: 3+3=63 + 3 = 6, then 18÷6=318 \div 6 = 3.

5. QuestionMultiple choice

What is 5+225 + 2^2?

Please select an answer first.

Correct answer: A

The correct answer is 99.

  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: 22=42^2 = 4, then 5+4=95 + 4 = 9.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Evaluate the exponent first: 22=42^2 = 4, then 5+4=95 + 4 = 9.

6. QuestionMultiple choice

What is 20−3×420 - 3 \times 4?

Please select an answer first.

Correct answer: B

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: Multiply first: 3×4=123 \times 4 = 12, then 20−12=820 - 12 = 8.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Multiply first: 3×4=123 \times 4 = 12, then 20−12=820 - 12 = 8.

7. QuestionMultiple choice

What is 24÷(2×3)24 \div (2 \times 3)?

Please select an answer first.

Correct answer: C

The correct answer is 44.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Multiply inside the parentheses: 2×3=62 \times 3 = 6, then 24÷6=424 \div 6 = 4.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Multiply inside the parentheses: 2×3=62 \times 3 = 6, then 24÷6=424 \div 6 = 4.

8. QuestionMultiple choice

What is 7+12÷4−27 + 12 \div 4 - 2?

Please select an answer first.

Correct answer: D

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: Divide first: 12÷4=312 \div 4 = 3. Then 7+3−2=87 + 3 - 2 = 8.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Divide first: 12÷4=312 \div 4 = 3. Then 7+3−2=87 + 3 - 2 = 8.

9. QuestionMultiple choice

Which expression represents the sum of 6 and 2, multiplied by 3?

Please select an answer first.

Correct answer: A

The correct answer is (6+2)×3(6 + 2) \times 3.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: The phrase says to add 6 and 2 first, then multiply the sum by 3.
  3. Check the value: Substitute carefully and compare the result with the original expression.

The phrase says to add 6 and 2 first, then multiply the sum by 3.

10. QuestionMultiple choice

What is 42−54^2 - 5?

Please select an answer first.

Correct answer: B

The correct answer is 1111.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: Evaluate the exponent: 42=164^2 = 16, then subtract 5 to get 11.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Evaluate the exponent: 42=164^2 = 16, then subtract 5 to get 11.

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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.