BODMAS Order of Operations Generator

Create Printable BODMAS / PEMDAS Worksheets for Order-of-Operations Practice

Generate free printable BODMAS worksheets that practise the order of operations with brackets, exponents, and the four arithmetic operations — all with whole-number answers so marking stays quick.

The generator produces A4 or US Letter PDFs with a BODMAS reminder printed at the top of the sheet. Every refresh produces a new mix of expressions, so learners get genuine practice rather than memorised answers.

Whether your classroom uses BODMAS, BIDMAS or PEMDAS, the precedence rules are the same and this tool works for all three.

Why use this BODMAS generator?

Once learners can perform +, −, × and ÷ in isolation, the hardest next step is applying the correct order when operations are combined. This tool gives concentrated practice on that skill. Use it for:

• Year 5–Year 9 / US Grades 5–8 order-of-operations teaching
• algebra readiness
• SATs, Key Stage 2 and middle-school revision
• homework and starter tasks
• targeted tutoring on precedence errors

What you can customise

• Problem count per worksheet
• Number range for operands
• Include brackets — nested or single-level
• Include exponents — mostly squared and cubed terms
• Difficulty level — controls how many operations per expression
• Answer key on or off
• Paper size: A4 or US Letter

Notes and limitations

• All expressions are filtered to produce an integer answer, keeping marking fast.
• Exponents stay small (squared and cubed), which matches the typical Key Stage 2 / KS3 curriculum.
• The worksheet prints a "B O D M A S" reminder bar at the top; some US schools may prefer to cross it out and write "PEMDAS" instead.
• Random mode means two downloads with identical settings will not produce identical worksheets.

Who these worksheets are for

Parents

Support children working through order-of-operations questions that commonly appear in Year 6 SATs and Grade 5 standardised tests.

Teachers

Introduce precedence, then drill it with starter tasks, plenaries, and homework.

Homeschool families

Build the bridge from basic arithmetic to algebraic thinking without buying a separate workbook.

Tutors

Target the most common BODMAS errors — evaluating left to right, or treating addition as higher priority than multiplication.

Worksheet style options

Brackets only

Expressions include brackets but no exponents — the classic entry-level BODMAS format.

Brackets and exponents

Adds squared and cubed terms so learners must resolve "Orders" before division and multiplication.

Full mix

Combines nested brackets, exponents and all four operations for the strongest precedence practice.

How to use the tool

1. Set the number range.
2. Choose whether to include brackets and exponents.
3. Pick the problem count and difficulty.
4. Keep Include answer key on for marking.
5. Choose A4 or US Letter.
6. Click Generate Worksheet.
7. Preview, then download the PDF.

Worked example

Set the number range to 1–10, tick brackets and exponents, and ask for 12 problems. The generator might produce 3 + (4 × 2)² − 5. Applying BODMAS: brackets first gives 3 + 8² − 5, then orders give 3 + 64 − 5, then add and subtract left to right give 62. The answer key prints 62 against the original expression.

Methodology

The engine builds an expression tree using the enabled operations and wraps a random sub-expression in brackets when that option is on. Exponents, when enabled, are attached to either a leaf or a bracketed sub-expression. After evaluation, expressions whose result is not a whole number are rejected and regenerated, which guarantees every answer key entry is an integer.

Helpful preset ideas

• Brackets on, exponents off, range 1–20 — entry-level BODMAS for Year 5
• Brackets on, exponents on, range 1–12 — Year 6 SATs preparation
• Full mix, range 1–25 — Year 7+ consolidation
• Answer key on — saves ten minutes per class marking

Best ways to practise order of operations

• Say the acronym out loud before starting each problem.
• Rewrite the expression line by line, crossing off each resolved step, so the working shows the order applied.
• Watch out for the division / multiplication equal-priority rule — work left to right when the two meet in the same expression.
• Watch out for the addition / subtraction equal-priority rule as well — both sit at the end of the acronym and are resolved left to right.
• Discuss why 2 + 3 × 4 is 14, not 20 — a common misconception caused by reading strictly left to right.
• Encourage learners to check by substituting values back in once the answer is found.

A short daily BODMAS drill of five problems is usually more effective than an occasional long session, especially when learners are building the habit of scanning an expression before writing anything.

Designed for A4 and US Letter Printing

Order-of-operations worksheets print cleanly on both A4 and US Letter. Use A4 for UK SATs revision or Key Stage 3, and US Letter for Grade 5 through Grade 8 Common Core alignment. Print at 100% scale for correct margin spacing.

Related maths practice tools

• Mixed Operations Worksheets Generator
• Mental Maths Generator
• Negative Numbers Worksheets Generator
• Square & Cube Numbers Generator
• Addition Worksheets Generator