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Rearranging Formulae (harder) worksheet with solutions

Rearranging Formulae (harder) worksheet with solutions

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

25 July 2026

pdf, 98.58 KB
pdf, 98.58 KB

A worksheet on rearranging formulae with detailed solutions. Contains harder questions on this topic. Good for GCSE students.

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.

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20 GCSE/IGCSE Algebra worksheets (with solutions)

Help your secondary students master the most challenging aspects of algebraic manipulation with this extensive, high-quality worksheet pack. Designed to build procedural fluency and conceptual confidence, this resource flows logically from foundational skills to advanced GCSE Higher tier topics.It is an ideal resource for **Key Stage 3 (Extension), Key Stage 4 (GCSE Foundation/Higher, IGCSE), and AS-Level bridging work.** **What’s Included?** This comprehensive PDF pack includes structured question sections covering three vital algebraic concepts: 📂 **1. Adding and Subtracting Algebraic Fractions (40 Questions)** * **Level 1**: Common numerical denominators and basic simplification. * **Level 2:** Different numerical denominators with linear expression numerators requiring expansion. * **Level 3**: Linear algebraic denominators requiring a common algebraic base (e.g. \(\frac{3}{x-2} - \frac{4}{x+3}\) ) (p. 2). * **Level 4 (Grade 7-9)**: Quadratic denominators requiring factoring first before finding the lowest common multiple. 📂 **2. Rearranging Formulae / Changing the Subject (18 Questions)** * **Level 1:** Formulae involving square roots, fractions, and multi-step inverse operations. * **Level 2 (Grade 8/9):** Complex manipulation where the subject appears multiple times, requiring expansion, grouping common terms, and factorising out the subject. 📂 **3. Equations with Algebraic Fractions (20 Questions)** * **Level 1:** Solving linear fractional equations by clearing the denominators. * **Level 2:** Solving advanced equations that simplify into quadratics, requiring either factorisation or the quadratic formula to solve. 📂 **4. Expanding & Factorising Quadratics** * Supplemental targeted practice on expanding double brackets and simplifying expressions. **Key Features** ✔️ **Full Worked Solutions Included:** Every question comes with a comprehensive, step-by-step written solution. Perfect for quick self-marking, peer assessment, or displaying on your interactive whiteboard. ✔️ **Highly Scaffolded:** Tasks naturally progress in difficulty, allowing students to build up to Grade 9/A* style questions seamlessly. ✔️ **Zero Preparation:** Simply download, select the pages you need, print, and teach! **Ideal For:** * **Main Lesson Practice**: Ideal for independent classwork following a teacher explanation. * **Homework & Revision:** Excellent for consolidation leading up to mock exams or final assessments. * **Cover Lessons:** Clear sequencing and comprehensive answer keys make this completely self-contained for supply or cover staff. * **Flipped Learning / Homework**: Perfect for independent study or remote learning tasks. **File Type**: PDF **Pages:** Complete bundle with question sheets and full answer keys.

£17.90
Bundle

Rearranging Formulae & Literal Equations Worksheets | Practice Pack + Answer Key

Four worksheets on rearranging formulae to change the subject including easy and harder exercises. Good for GCSE/IGCSE students. Detailed solutions are included. Master changing the subject of a formula with this comprehensive, progressively challenging algebra worksheet pack featuring full step-by-step solutions for every problem. Help your students confidently master literal equations with this extensive Rearranging Formulae Worksheet Resource Pack. Designed to build procedural fluency, this resource guides students from introductory one-step rearrangements to advanced multi-step algebraic manipulations. It is perfectly aligned with KS3 and GCSE Mathematics curriculum requirements (AQA, Edexcel, and OCR). **What is Included** This pack features multiple sets of carefully structured worksheets along with a comprehensive answer key showing full algebraic steps for every single problem. • **Worksheet Set 1 (Introductory / KS3 Foundation): Isolating variables using single inverse operations like addition and subtraction. • **Worksheet Set 2 (Intermediate / GCSE Higher Foundation):** Expanding brackets and collecting like terms across an equation. • **Worksheet Set 3 (Advanced / GCSE Higher Tier):** Rearranging equations containing square roots, cubes, and fraction denominators. • **Worksheet Set 4 (Complex Manipulation):** Factoring out the subject variable when it appears multiple times. • **Complete Step-by-Step Solutions:** Full algebraic steps provided for every problem to allow self-assessment. **Progression of Skills Covered** •**One-step operations** (e.g., p = s + 8) • **Multi-step linear rearrangements** (e.g., p = 3u + 11) • **Expanding brackets before isolating** (e.g., a = 3(u + 2)) • **Clearing fractions and denominators** (e.g., c = (a + b) / 2) • **Dealing with powers and roots** (e.g., E = mc^2 or V = 4/3 pi r^3) • **Factoring out a common variable** (e.g., 3(p - 1) = r(2 - 5p)) **Perfect For** • KS3 algebra lessons • GCSE / IGCSE exam revision • Homework and independent study • Cover work and intervention booklets

£3.90
Bundle

Changing the subject of a formula worksheets (with solutions)

Three worksheets on changing the subject of a formula. Detailed solutions are included.

£3.85
Bundle

GCSE 9-1 Expressions and Formulae Bundle

A collection of 4 worksheets on expressions and formulae based on the GCSE 9-1 specification. The following worksheets are included: * Changing the subject of a formula * Changing the subject of a formula (harder questions) * Equations with variables on both sides * Linear equations with brackets and the variable in both sides Detailed solutions are included.

£3.50
Bundle

Rearranging Formulae -Functions Bundle

Three worksheets on the following topics: changing the subject of a formula, inverse functions and exponential and logarithmic functions.

£3.35

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