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4 Operations With Positive and Negative Numbers Worksheet (with solutions)

4 Operations With Positive and Negative Numbers Worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

7 August 2026

pdf, 87.71 KB
pdf, 87.71 KB
A worksheet on adding, subtracting, multiplying, dividing and raising to a power, positive and negative numbers. Detailed solutions are included.

Get this resource as part of a bundle and save up to 48%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Operations with Integers, Rational Numbers & Exponents Bundle with Answer Keys

A collection of four worksheets on operations with positive and negative numbers. Detailed solutions are included. Looking for the ultimate, no-prep master pack to help your secondary students conquer directed numbers? This comprehensive 26-page mega bundle includes scaffolded practice worksheets for integers, rational numbers, multi-step order of operations (BIDMAS/BODMAS) and powers with negative bases. Complete with a full step-by-step teacher answer key, it is perfect for independent work, homework, maths intervention or cover lessons! ________________________________________ **What’s Included in This No-Prep PDF Mega Bundle?** **Section 1: Core Operations with Positive and Negative Numbers** (Pages 1-9) • Scaffolded practice with integer addition, subtraction, multiplication and division. • Advanced calculations involving negative decimals, proper/improper fractions and mixed numbers. • Calculations with strings of 3 or 4 terms and an introduction to directed calculations. • Full, detailed, step-by-step solutions for easy marking or student self-assessment! **Section 2: Order of Operations with Rational Numbers** (Pages 10-14) • Rigorous 24-question practice focused on BIDMAS / BODMAS rules. • Complex multi-step expressions featuring nested brackets, fraction bars and indices. • Scaffolded difficulty progression from simple two-step problems to advanced algebraic-thinking challenges. • Complete step-by-step calculation keys for every single expression! **Section 3: Powers of Positive and Negative Numbers** (Pages 15-26) • High-density 36-question worksheet targeting exponents with signed bases. • Deep-dive practice on critical notation differences (such as evaluating negative bases inside vs. outside of brackets). • Mind-bending index readiness patterns (such as evaluating negative one raised to the 1001st, 1002nd or 30000th power). • An exhaustive, clear teacher answer key verifying every single problem. **Perfect For:** • Key Stage 3 (KS3) Core Curriculum Units (Year 7, Year 8 and Year 9) • GCSE Foundation Remediation, Revision & Catch-up • Independent Classwork, Homework Assignments & Revision Booklets • Emergency Cover Lessons & Supply Teacher Packs • Maths Intervention & Support Groups **Curriculum Alignment:** • UK National Curriculum (KS3): Order, add, subtract, multiply and divide integers, decimals, fractions (proper and improper), and mixed numbers; use the four operations with directed numbers; apply the correct order of operations (BIDMAS) including brackets, powers, roots and reciprocals. ________________________________________

£3.35
Bundle

All Operations with Integers & Rational Numbers Bundle PEMDAS Worksheets

Three worksheet introducing the students to addition, subtraction, multiplication and division of positive and negative numbers (integers, fractions and decimals) and the order of operations in calculations with such numbers. The exercises require to perform calculations with two or more terms and one or more operations (using the order of operations when appropriate) and find missing terms in given calculations. Solutions are included. Master four operations on directed numbers with this no-prep KS3 maths worksheet bundle. Covers positive & negative integers, fractions, decimals & BIDMAS! ________________________________________ Save time and money with this comprehensive, ready-to-print Directed Numbers and Fractions bundle! This comprehensive printable bundle brings together 3 rigorous, high-quality maths resources designed to build total procedural fluency with positive and negative numbers. Moving sequentially from basic integers to complex fractions, missing number algebra frames, inequalities, and multi-step order of operations (BIDMAS) review, this pack provides weeks of independent practice, homework tasks, or assessment material. It is an exceptional match for Key Stage 3 (KS3) and Key Stage 4 (KS4) Foundation Tier GCSE preparation, or early secondary numeracy intervention groups. **What resources are included in this bundle?** • **Resource 1: Basic Operations with Integers & Directed Numbers** o Focuses on foundational sign rules for adding, subtracting, multiplying, and dividing integers. o Includes missing addend algebra frames and multi-layered expression addition. • **Resource 2: Operations with Positive & Negative Decimals, Fractions** & Mixed Numbers o Targets the four operations across rational decimals, horizontal fractions, and mixed values. o Solidifies fractional inversion, common denominator calculations, and sign changes. • **Resource 3: Advanced Order of Operations (BIDMAS) Practice Sheet** o Features rigorous, layered fractional BIDMAS and order of operations challenge sets. o Includes nested brackets and complex multi-factor logic product strings. **Why Teachers Love This Bundle:** • **Excellent Value:** Purchasing this all-in-one pack gives you a built-in discount compared to buying each resource individually. • **Zero Prep Required:** Simply download, print out the PDFs, and hand them directly to your classes—perfect for main lessons, homework tasks, or emergency cover work. • **Progressive Rigour:** Within every file, questions naturally scale from fundamental directed number mechanics to challenging multi-step extension questions. • **Fully Worked Solutions:** Every single worksheet includes a thorough teacher memorandum showing all algebraic steps for effortless marking, peer assessment, or student self-checking. **Curriculum & Exam Board Alignment:** • **UK National Curriculum:** Key Stage 3 (KS3) and Key Stage 4 (KS4) Mathematics – Order of operations (BIDMAS), calculations with directed numbers, decimals, and fractions. • **Exam Boards:** Highly relevant for Edexcel, AQA, and OCR GCSE Maths (Foundation Tier) modules. ________________________________________

£2.90

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