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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 2×(5+3)2 \times (5 + 3)?

Please select an answer first.

Correct answer: A

The correct answer is 1616.

  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: 5+3=85 + 3 = 8, then 2×8=162 \times 8 = 16.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Evaluate the parentheses first: 5+3=85 + 3 = 8, then 2×8=162 \times 8 = 16.

2. QuestionMultiple choice

What is (18−6)÷3(18 - 6) \div 3?

Please select an answer first.

Correct answer: B

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: 18−6=1218 - 6 = 12, and 12÷3=412 \div 3 = 4.
  3. Check the value: Substitute carefully and compare the result with the original expression.

18−6=1218 - 6 = 12, and 12÷3=412 \div 3 = 4.

3. QuestionMultiple choice

What is 7+(4×2)7 + (4 \times 2)?

Please select an answer first.

Correct answer: C

The correct answer is 1515.

  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: 4×2=84 \times 2 = 8, then 7+8=157 + 8 = 15.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Multiply inside the parentheses: 4×2=84 \times 2 = 8, then 7+8=157 + 8 = 15.

4. QuestionMultiple choice

What is (9+3)÷(2+1)(9 + 3) \div (2 + 1)?

Please select an answer first.

Correct answer: D

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: Evaluate both parentheses: 12÷3=412 \div 3 = 4.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Evaluate both parentheses: 12÷3=412 \div 3 = 4.

5. QuestionMultiple choice

What is 30−(4+5)×230 - (4 + 5) \times 2?

Please select an answer first.

Correct answer: A

The correct answer is 1212.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 4+5=94 + 5 = 9, then 9×2=189 \times 2 = 18, and 30−18=1230 - 18 = 12.
  3. Check the value: Substitute carefully and compare the result with the original expression.

4+5=94 + 5 = 9, then 9×2=189 \times 2 = 18, and 30−18=1230 - 18 = 12.

6. QuestionMultiple choice

What is (6+2)2(6 + 2)^2?

Please select an answer first.

Correct answer: B

The correct answer is 6464.

  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: 6+2=86 + 2 = 8, then 82=648^2 = 64.
  3. Check the value: Substitute carefully and compare the result with the original expression.

Evaluate the parentheses first: 6+2=86 + 2 = 8, then 82=648^2 = 64.

7. QuestionMultiple choice

What is 48÷(3×(2+2))48 \div (3 \times (2 + 2))?

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: 2+2=42 + 2 = 4, 3×4=123 \times 4 = 12, and 48÷12=448 \div 12 = 4.
  3. Check the value: Substitute carefully and compare the result with the original expression.

2+2=42 + 2 = 4, 3×4=123 \times 4 = 12, and 48÷12=448 \div 12 = 4.

8. QuestionMultiple choice

What is 5×(7−3)+25 \times (7 - 3) + 2?

Please select an answer first.

Correct answer: D

The correct answer is 2222.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 7−3=47 - 3 = 4, then 5×4=205 \times 4 = 20, and add 2 to get 22.
  3. Check the value: Substitute carefully and compare the result with the original expression.

7−3=47 - 3 = 4, then 5×4=205 \times 4 = 20, and add 2 to get 22.

9. QuestionMultiple choice

What is 16−(23+1)16 - (2^3 + 1)?

Please select an answer first.

Correct answer: A

The correct answer is 77.

  1. Read the expression: Identify grouping symbols, exponents, multiplication or division, and addition or subtraction.
  2. Use the order of operations: 23=82^3 = 8, so the parentheses equal 9 and 16−9=716 - 9 = 7.
  3. Check the value: Substitute carefully and compare the result with the original expression.

23=82^3 = 8, so the parentheses equal 9 and 16−9=716 - 9 = 7.

10. QuestionMultiple choice

What is 36÷(3+3)+436 \div (3 + 3) + 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: 3+3=63 + 3 = 6, then 36÷6=636 \div 6 = 6, and 6+4=106 + 4 = 10.
  3. Check the value: Substitute carefully and compare the result with the original expression.

3+3=63 + 3 = 6, then 36÷6=636 \div 6 = 6, and 6+4=106 + 4 = 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.