

A worksheet on multiplying and dividing positive and negative integers, fractions, mixed numbers and decimals. There are 50 exercises. Detailed solutions are included.
Looking for a comprehensive, no-prep practice worksheet to help your pupils master multiplying and dividing rational numbers (integers, decimals and fractions)?
This massive, 50-question practice resource is designed to build ultimate maths fluency. It provides a complete, scaffolded progression of skills—starting with simple positive and negative integer operations, moving into signed decimals, and concluding with advanced positive and negative fractions and mixed numbers.
Perfect for Key Stage 3 (KS3) curriculum delivery, advanced Key Stage 2 (KS2) learners, or as an essential GCSE foundation revision packet at the start of the term!
What’s Included:
- Questions 1–28: Integer and basic decimal calculations (positive and negative values).
- Questions 29–50: Operations with proper fractions, improper fractions, and complex mixed numbers.
- Full Answer Key: A complete, step-by-step solutions guide is included to show exactly how cross-simplification and fraction division work, making marking fast or allowing for easy pupil self-checking!
How to Use This in Your Classroom:
- Independent Classwork or Homework / Prep Packet
- Maths Mastery & Rotation Stations
- End-of-Unit Revision or Exam Prep
- Emergency Cover Plans (with explicit steps in the answer key for the supply teacher!)
- Low-Stakes Quizzes or Retrieval Practice
Educational Standards & Curriculum Alignment:
- UK National Curriculum (Key Stage 3 Mathematics):
Number: Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative.
Understand and use the rules for multiplying and dividing signed numbers.
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Operations and Equations with Rational Numbers Worksheet Bundle (with Solutions)
Six worksheets on operations and equations with rational numbers. * There is one worksheet on each of the following topics: * Adding and Subtracting Rational Numbers * Multiplying and Dividing Rational Numbers * Powers of Rational Numbers * Order of Operations with Rational Numbers * Solving Two Step Equations with Rational Numbers * Solving Equations with Rational Numbers There are 47 pages in total. Detailed solutions to all worksheets are included. Equip your students with everything they need to master rational numbers with this comprehensive, ready-to-print worksheet bundle. This resource is carefully structured to transition students smoothly from basic arithmetic operations to solving complex algebraic equations involving fractions, decimals, mixed numbers, and integers. This complete download features multiple targeted practice sets designed to build computational confidence and algebraic fluency, accompanied by a step-by-step worked solutions key to save you hours of grading time! **What’s Included in this Bundle:** * **Adding & Subtracting Rational Numbers:** Practice handling positive and negative signs, common denominators, and decimals. * **Multiplying & Dividing Rational Numbers:** Layouts to master operations with integer, fractional, and decimal terms. Powers of Rational Numbers: Exercises targeting base-exponent notation, negative bases, and arranging numbers in order. * **Order of Operations (PEMDAS / BODMAS):** Multi-step calculations grouping operations with fractional terms and parentheses. * **Solving Two-Step Linear Equations:** Isolation of variables mixed with rational coefficients. * **Solving Multi-Step Linear Equations:** Advanced equations featuring distribution, variables on both sides, and clearing denominators. * **Complete Step-by-Step Worked Solutions:** A comprehensive answer key displaying every algebraic step to support easy grading, peer review, or self-correction. **Core Skills Covered:** * Applying arithmetic operations on positive and negative rational numbers. * Evaluating powers, ordering values, and simplifying complex operations. * Applying inverse operations to isolate variables in two-step and multi-step contexts. * Expanding brackets and simplifying multi-step algebraic terms. **Perfect For:** * Core instructional material, homework assignments, or structured packets * Targeted intervention, remedial review sessions, and test preparation * No-prep, highly professional sub plans for substitute teacher days * **Curriculum Alignment:** Suited for US Common Core (Middle School Math, Pre-Algebra, Algebra 1) and UK National Curriculum (KS3/KS4 Maths). Terms of Use: This bundle is for single-classroom use only. Digital redistribution, public hosting, or commercial use is strictly prohibited.
Multiplying & Dividing Rational Numbers Worksheets + Keys | 7th Grade
Three worksheets on multiplying and dividing positive and negative integers, fractions, mixed numbers and decimals. There is one worksheet on multiplication, one worksheet on division and one worksheet on both operations. Detailed solutions are included. **Looking for a comprehensive, no-prep worksheet bundle to help your pupils master multiplying and dividing positive and negative rational numbers (integers, fractions, decimals and mixed numbers)?** This ultimate 3-worksheet pack provides a complete, scaffolded practice resource designed to build total maths fluency. It guides students step-by-step through positive and negative integer operations, signed decimals, and advanced fraction and mixed number calculations. Perfect for Key Stage 3 (KS3) curriculum delivery, advanced Key Stage 2 (KS2) learners, or as an essential GCSE foundation revision packet at the start of the term! **What’s Included in This Bundle:** * **Resource 1: Multiplying Rational Numbers Worksheet** 28 skill-building questions covering signed integers, decimals, proper/improper fractions, and mixed numbers. * **Resource 2: Dividing Rational Numbers Worksheet** 28 scaffolded questions practicing division with signed integers, decimals, fractions, and mixed numbers. * **Resource 3: Mixed Multiplying & Dividing Rational Numbers Worksheet** 50 comprehensive questions combining both operations to truly test concept mastery and operational fluency. * **Full Answer Keys:** Every single worksheet includes a complete, step-by-step solutions guide showing cross-simplification and fraction division rules. This makes marking a breeze or allows for easy pupil self-checking! **How to Use This in Your Classroom:** * Multi-Day Homework / Prep Assignment Packet * Independent Classwork or Emergency Cover Plans * Maths Mastery Worksheets or Rotation Stations * End-of-Unit Revision and Exam Prep * Low-Stakes Quizzes and Retrieval Practice **Educational Standards & Curriculum Alignment: UK National Curriculum (Key Stage 3 Mathematics):** * Number: Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative. * Understand and use the rules for multiplying and dividing signed numbers.
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