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Quizzes > High School Quizzes > Mathematics

Order of Operations Math Worksheets Practice Quiz

Sharpen skills with interactive 7th & 5th grade tests

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Paper art representing a trivia quiz for middle school students on order of operations mastery.

What is the value of 3 + 4 x 2?
11
14
10
12
According to the order of operations, multiplication is performed before addition. Therefore, 4 x 2 equals 8 and adding 3 results in 11.
Calculate 8 - 6 ÷ 2.
5
1
2
4
Division is done before subtraction. Dividing 6 by 2 gives 3, and subtracting 3 from 8 produces the correct result, 5.
Find the value of 2^3.
8
6
9
4
The exponent indicates that the base is multiplied by itself. 2^3 means 2 x 2 x 2, which equals 8.
Evaluate (5 + 3) x 2.
16
10
13
12
The expression inside the parentheses is computed first so that 5 + 3 equals 8. Multiplying 8 by 2 then results in 16.
What is the result of 10 ÷ 5 + 3?
5
8
6
7
Following the order of operations, division is performed before addition: 10 divided by 5 equals 2, and adding 3 gives 5. This makes 5 the correct answer.
What is the result of 3 + 2 x 5 - 4 ÷ 2?
11
12
10
13
Multiplication and division are performed before addition and subtraction. Here, 2 x 5 equals 10 and 4 ÷ 2 equals 2, so the calculation becomes 3 + 10 - 2, which equals 11.
Calculate 6 + (4 x 3) - 2^2.
14
16
12
10
Operations inside parentheses and exponents are resolved before addition and subtraction. Computing 4 x 3 gives 12 and 2^2 gives 4, and then the full expression 6 + 12 - 4 results in 14.
Find the value of 12 ÷ 3 x (2 + 4).
24
20
18
26
The division is carried out first, resulting in 12 ÷ 3 = 4, while the parentheses yield 2 + 4 = 6. Multiplying these results, 4 x 6 equals 24.
Simplify 2 x (3 + 4) - 5.
9
7
12
10
First, compute the expression inside the parentheses: 3 + 4 equals 7. Multiplying 7 by 2 gives 14, and subtracting 5 produces 9.
Evaluate (8 - 3)^2.
25
15
20
30
The expression within the parentheses, 8 - 3, is calculated first to get 5. Squaring 5 gives 25, which is the correct answer.
Calculate 4 x 3^2.
36
27
32
35
Exponents are executed before multiplication. Since 3^2 equals 9, multiplying by 4 results in 36.
Evaluate 15 ÷ (3 x 5) + 2.
3
5
2
4
The operations within the parentheses are done first; 3 x 5 equals 15, and thus 15 ÷ 15 is 1. Adding 2 to 1 gives the final answer of 3.
What is the result of 10 - 2 + 3 x 4?
20
18
16
22
Multiplication is done first, so 3 x 4 equals 12. Proceeding from left to right with addition and subtraction, 10 - 2 equals 8, and then 8 + 12 produces 20.
Simplify: (2 + 3) x (4 - 1) + 2.
17
15
20
16
The expressions in the parentheses are solved first: 2 + 3 equals 5 and 4 - 1 equals 3. Multiplying 5 by 3 gives 15, and adding 2 results in 17.
Evaluate 9 - 3^2 + 4.
4
2
6
8
Exponents are calculated before other operations; 3^2 equals 9. After subtracting 9 from 9 and then adding 4, the final result is 4.
Evaluate 2 + 3 x (4^2 - 6) ÷ 2.
17
20
19
15
First, calculate the exponent: 4^2 equals 16. Subtracting 6 from 16 gives 10, multiplying by 3 results in 30, and dividing by 2 gives 15; finally, adding 2 results in 17.
Simplify (18 ÷ (3 x 2)) + (4 x (5 - 3)^2).
19
15
18
20
Solve the expression in parts: 3 x 2 equals 6, so 18 ÷ 6 equals 3. For the second part, 5 - 3 equals 2 which squared is 4, and multiplying by 4 gives 16; adding these parts yields 19.
Find the value of (7 + 3) x (6 ÷ 2) - 4^2.
14
10
16
20
Add the numbers in the first set of parentheses to get 10, and divide 6 by 2 to get 3. Multiplying these gives 30, and after subtracting 4^2 (which is 16), the final answer is 14.
Calculate 5 x [2 + (3 x 2^2)] - 8.
62
60
63
64
First, evaluate the exponent: 2^2 equals 4. Multiply 3 by 4 to get 12, then add 2 to obtain 14 inside the brackets. Multiplying 14 by 5 gives 70, and subtracting 8 results in 62.
Evaluate [(6 + 4) ÷ 2]^2 - 3.
22
20
24
18
Begin by adding the numbers inside the parentheses: 6 + 4 equals 10. Dividing 10 by 2 yields 5, which when squared gives 25; subtracting 3 results in 22.
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Study Outcomes

  1. Understand and articulate the correct sequence for performing operations in complex arithmetic expressions.
  2. Analyze one-sentence math challenges to determine the appropriate order of operations.
  3. Apply established rules to simplify and solve numerical expressions accurately.
  4. Evaluate expressions step-by-step to identify and correct computational errors.
  5. Build confidence in mathematical problem-solving by pinpointing areas for improvement.

7th Grade Order of Ops Worksheet Cheat Sheet

  1. PEMDAS Acronym - Kick off your order of operations journey with the catchy PEMDAS phrase: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. This friendly mnemonic helps you nail every step without second‑guessing. Order of operations guide Math Is Fun: PEMDAS Explained
  2. Grouping Symbols Matter - Any operation inside parentheses or other grouping symbols jumps to the front of the line. For instance, in 3 + (2 × 4), tackle 2 × 4 first, then add 3 to get the correct result. Order of operations basics Math.net: Order of Operations
  3. Power Up with Exponents - After parentheses, exponents (like squares and cubes) take center stage. So in 5 × 2², calculate 2² to get 4, then multiply by 5 for a total of 20. Exponents deep dive Math Is Fun: BODMAS Explained
  4. Multiply and Divide - Next, work any multiplication and division from left to right. For 10 ÷ 2 × 3, divide 10 by 2 first to get 5, then multiply by 3 for 15. Multiplication & Division rules Math.net: Multi & Div Rule
  5. Addition & Subtraction - Lastly, perform additions and subtractions in order, moving from left to right. In 8 - 3 + 2, subtract 3 from 8 to get 5, then add 2 to land on 7. Add & Subtract guide Math.net: Add & Subtract
  6. Stay Alert with Mixed Operations - When problems mix lots of steps, stick to PEMDAS to dodge mistakes. For example, 3 + 4 × 2 becomes 3 + (4 × 2) = 11, not 14. Real‑world examples Math Goodies: Practice Problems
  7. Mnemonic Reminder - "Please Excuse My Dear Aunt Sally" is another playful way to remember PEMDAS. Mnemonics like this stick in your mind, making math feel like a breeze. PEMDAS mnemonics Math Is Fun: PEMDAS Mnemonic
  8. Real‑World Practice - Apply the order of operations to practical scenarios, like tallying shopping totals with taxes and discounts. Hands‑on practice helps cement your skills and builds confidence. Practice exercises Math Goodies: Exercises
  9. Left‑to‑Right Rule - Multiplication and division share the same priority, so solve them in the order they appear from left to right. The same rule applies to addition and subtraction, keeping your computations consistent. Left‑to‑right explained Math Is Fun: BODMAS Left‑to‑Right
  10. Consistent Practice - Regularly mixing up problem types sharpens your mastery of operation order. Over time, your speed and accuracy will soar as the rules become second nature. Detailed walkthrough GeeksforGeeks: Detailed Guide
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