91¶¶Òõ

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91¶¶Òõ

Last updated

24 July 2026

pdf, 121.41 KB
pdf, 121.41 KB

A worksheet on adding, subtracting, multiplying, dividing and evaluating powers of positive and negative numbers (integers, fractions and decimals). The exercises include calculations with one of each of the four operations and calculations with more than one operations (where the order of operations must be used). Detailed solutions are included.

Master signed number arithmetic with this comprehensive all operations with directed numbers booklet! Designed perfectly for Key Stage 3 math students (Year 8 and Year 9), this comprehensive 19-page resource covers adding, subtracting, multiplying, and dividing positive and negative integers, fractions, and decimals.

Are you looking for a rigorous, completely no-prep resource to help your secondary students build absolute fluency with negative numbers? This massive 19-page master practice pack is perfectly scaffolded to guide students from basic integer calculations all the way to complex algebraic expressions involving fractional bars, mixed numbers, and negative indices.
With completely clean, maths-focused layouts and zero visual distraction, this independent work booklet is highly effective for classroom desk work, homework assignments, end-of-unit revision, or emergency cover lessons.

What’s Included in This Comprehensive Pack?
• Section 1: Addition & Subtraction Drills – Practice combining positive and negative integers, multi-digit decimals, fractions, and mixed numbers.
• Section 2: Multiplication & Division Fluency – Target drills for multiplying and dividing signed values, maintaining focus on proper rule application across fractions and decimals.
• Section 3: Integer Indices & Negative Bases – Rigorous practice computing negative numbers raised to odd or even powers (e.g. squaring and cubing negative values).
• Section 4: Order of Operations (BIDMAS) – Advanced expressions requiring students to correctly sequence brackets, indices, operations, and multi-layered fraction bars.
• Full Solutions Provided – Includes a complete, step-by-step printed answer key displaying the exact calculation breakdowns for rapid grading or student self-marking.

Perfect For:
• Independent Classwork or Main Lesson Tasks
• Progressive Homework Assignments
• KS3 Maths Revision & Targeted Intervention Groups
• Fast Finishers or Extension Work
• Quick, No-Prep Cover Work

Curriculum Alignment:
• UK National Curriculum: Fits perfectly into the Key Stage 3 (KS3) Number and Algebraic Proficiency framework, focusing on arithmetic with fractions, decimals, directed numbers, and calculating with integer powers.

Get this resource as part of a bundle and save up to 49%

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

Bundle

Positive & Negative Numbers Worksheet Bundle | Integers Fractions Decimals

Five worksheets on adding, subtracting, multiplying and dividing positive and negative numbers (integers, fractions, mixed numbers and decimals). One worksheet on each operation and one worksheet on all operations. Solutions are included. **Take your students beyond basic integer rules with this comprehensive, no-prep directed numbers worksheet bundle!** This resource is perfectly designed to help your secondary math classes build complete computational fluency, moving fluidly from whole number integers to challenging operations with negative fractions, decimals, indices, and multi-step calculation brackets. Whether you are teaching **KS3, KS4 (GCSE / iGCSE), Year 7-11, or foundational algebra review**, these structured practice sheets offer a complete range of problem types to ensure true mathematical mastery. **What is Included in This Bundle?** This package contains a massive collection of student practice pages along with **comprehensive, step-by-step worked answer keys** that show exactly how to find common denominators, cross-cancel, and apply correct operational signs. **Section 1: Adding and Subtracting Real Numbers** * Evaluating direct horizontal expressions with positive and negative integers). * Adding and subtracting signed decimals and mixed number fractions with unlike denominators. * Evaluating longer expressions containing multi-term string numbers. **Section 2: Multiplying and Dividing Signed Numbers** * Direct arithmetic with signed whole numbers, decimals, and negative fractional products. * Evaluating multi-factor strings to understand how even or odd numbers of negative signs impact the final value. * Solving fill-in-the-blank equations to target missing multipliers and unknown divisors. **Section 3: Order of Operations & Indices** * Applying correct calculation rules (BIDMAS/BOOM) to complex nested groupings and brackets. * Evaluating signed bases raised to integer powers and indices. * Solving highly complex, multi-step vertical calculation bar equations. **Section 4: Comparison & Inequality Tasks** * Evaluating values on both sides of an expression to compare using less than, greater than, or equal symbols. **Why Teachers Love This Resource:** * **Ready to Print & Go:** No prep required! Simply print the worksheets and you are completely ready for a cover lesson, classwork assignment, homework, or math revision session. * **Step-by-Step Solutions Included:** Save hours of marking time with a fully worked-out answer key that clearly maps out intermediate signs and fraction conversions (pp. 4, 15). Students can also use it to self-assess. * **Clean and Uncluttered Design:** Problems are laid out beautifully with plenty of white space so students can focus purely on the math without feeling overwhelmed by dense text. * **True Scaffolded Depth:** Tasks naturally progress from simple arithmetic tracking to high-level missing number equations, complex indices, and fraction operations. **Educational Standards Covered:** * **UK National Curriculum / GCSE:** Number and Calculations. Calculate exactly with fractions, decimals, and directed numbers; apply the four operations to integers, decimals, and proper/improper fractions; use conventional notation for the priority of operations, including brackets, powers, roots, and reciprocals. * **US Common Core Standards (for reference):** 7.NS.A.1, 7.NS.A.2, 7.NS.A.2.C, 7.NS.A.3, and 8.EE.A.1.

£4.30

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