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Order of Operations BEDMAS Worksheets - Real Life Problems

Six real-life word problems, from shopping discounts to a pizza split, contrast wrong and correct order-of-operations answers and come with a full numeric answer key.
Grades
Grades 5–7
Pages
3
File type
PDF
Answer key
Included

Updated Mar 19, 2024

Subject
Math, Order Of Operations
Topic
Order of Operations, Word Problems
Resource types
Worksheets & Printables, Word Problems, Worksheets
Answer key
Included

About this resource

What's inside this resource

Six real-life word problems — shopping discounts, pancake division, retail sales totals, a pizza-splitting scenario, and a weekly paycheck calculation — are used to show why the order of operations (Brackets, Exponents, Division, Multiplication, Addition, Subtraction) changes an answer. Students first solve each equation ignoring order of operations, then resolve it correctly, contrasting outcomes such as $219 versus $19 for the shopping example so the practical stakes of applying BEDMAS become visible. Two problems require inserting brackets around a set of operations to isolate a sub-calculation, such as bracketing the total pizza cost before splitting it three ways. A final open-ended prompt asks students to write and trade an original real-life order-of-operations scenario with a partner, and a full numeric answer key is provided for problems one through five.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Apply the BEDMAS order of operations (Brackets, Exponents, Division, Multiplication, Addition, Subtraction) to solve multi-step real-life equations.

  • Compare incorrect (left-to-right) and correct (order-of-operations) solutions to see how the sequence of operations changes the result.

  • Insert brackets to isolate a sub-calculation within a larger real-life word problem.

  • Write an original real-life scenario that requires applying the order of operations to solve.

Teaching tips

  • Have students solve each problem the 'wrong' way first (ignoring order of operations) before the correct way, since the worksheet's side-by-side format is built around that contrast.

  • Use the shopping example ($219 vs. $19) as an anchor discussion for why order of operations produces such different, practically meaningful results.

  • Let students trade the final open-ended scenario (problem 6) with a partner to solve each other's original problems, as the prompt instructs.

Skills covered

  • Order-of-operations application — students solve equations like 100 minus 27 times 3 both without and with BEDMAS to see the differing results ($219 vs. $19).

  • Bracket insertion — students add brackets to isolate a sub-total, such as grouping pizza cost before dividing it three ways.

  • Real-world equation writing — students author an original word problem that requires order of operations to solve.

Good to know

Questions teachers ask about this resource

The 'without order of operations' answer to the retail sales problem comes out to $1,240,200 — is that dramatic gap intentional?

Yes, it's intentional: solving left-to-right instead of applying order of operations compounds the error across three multiplications, producing a wildly inflated total ($1,240,200) versus the correct $840, which makes the stakes of BEDMAS vivid for students.

None of the six scenarios include an exponent, even though BEDMAS is named in the header — is exponent skill required to complete the worksheet?

No — all six real-life scenarios use only brackets, multiplication, division, addition, and subtraction; exponents are named in the BEDMAS header but not tested in any problem.

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Curriculum

Standards, concepts & topics

Standards

  • 5.OA.A.1 — Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
  • 5.OA.A.2 — Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Core concepts

  • order of operations

  • BEDMAS

  • brackets in equations

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