

A worksheet on removing brackets in calculations involving addition and subtraction between integers. There are 22 exercises. Detailed solutions are included.
Simplify your directed numbers topic planning with this comprehensive, no-prep Adding and Subtracting Integers with Brackets Worksheet! This printable practice resource features 22 carefully structured, multi-step questions that guide students through the crucial skill of expanding brackets and managing conflicting signs. Perfect for secondary maths classrooms, this resource includes a fully worked solutions mark scheme to make marking completely effortless!
Whether you need a quick homework assignment, daily starters, cover work, independent practice, or a revision review for GCSE exam prep, this worksheet has you covered.
What is Included in This Resource?
- Comprehensive 22-Problem Practice Sheets: Extensive multi-step calculation exercises designed to build student confidence and reinforce directed number sign rules.
- Scaffolded Skill Progression:
Simplifying Sign Combinations: Practising how adjacent signs collapse into a single operation (such as rewriting double negatives into addition or positive/negative pairs into subtraction).
Expanding with Groups: Managing individual integers combined with isolated bracketed expressions (like 6 + (8 − 12)).
Advanced Brackets Removal: Evaluating long strings of expressions with multiple sets of brackets and opposing signs (like −4 + (−9) − (+7) − (−2)). - Complete Worked Solutions / Mark Scheme: A detailed, step-by-step key that shows exactly how each bracket is removed, how signs are changed, and how terms are rearranged into clean calculations—perfect for student self-assessment or quick teacher marking!
Ways to Use This in Your Classroom:
- Independent Practice / Homework: Assign it right after your directed numbers lesson to reinforce bracket-removal skills.
- Maths Starters / Bell Ringers: Cut the worksheet into smaller sections to use as daily sign-rule drills across a full week of lessons.
- No-Prep Cover Work: The clear layout and comprehensive step-by-step mark scheme mean you can just print, copy, and leave it for a cover teacher at a moment’s notice.
- GCSE Revision / Remediation: Use it to diagnose and patch up foundational arithmetic gaps before moving into complex algebraic expansion topics.
Curriculum & Exam Board Alignment:
UK National Curriculum (Key Stage 3 & 4):
- KS3 Mathematics (Number): Use positive and negative integers; order positive and negative integers; use standard conventional notation for the priority of operations, including brackets.
- GCSE Mathematics (Foundation & Higher Tier): Meets specifications for AQA, Edexcel, and OCR by reinforcing standard directed number calculations, expanded operational lines, and arithmetic priority rules without a calculator.
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