Factors, Multiples, HCF and LCM Practice Worksheet & Answers

8th Grade Math Review Bundle | GCF LCM Percentages Sequences Worksheets

Six worksheets for Year 8 students on the following topics: * Factors, multiples, HCF and LCM. * Prime factors of an integer using division. * Highest common factor using prime factorisation. * Lowest common multiple using prime factorisation. * Percentages. * The nth term of a sequence. Detailed solutions are included. Master secondary maths essentials with this comprehensive, no-prep worksheet bundle designed for KS3 and Year 8/9 revision. This resource targets Highest Common Factor (HCF), Lowest Common Multiple (LCM), multi-step percentage change, and finding the nth term of linear sequences. ________________________________________ Looking for a rigorous, ready-to-print maths review pack that breaks down complex topics step-by-step? This comprehensive maths worksheet bundle is specifically designed to reinforce foundational number sense and algebra skills for Key Stage 3 students. Whether you are preparing for end-of-term assessments, looking for high-quality homework tasks, or need reliable cover work, this pack has you covered. **What Topics Are Covered?** • **Factors & Multiples**: Listing factors, finding common factors, and identifying multiples from a specified list. • **HCF & LCM:** Finding the highest common factor and lowest common multiple using both traditional listing and advanced prime factorisation layouts. • **Prime Factorisation**: Writing large integers as a product of their prime factors using structured division ladder methods. • **Percentages Masterclass**: Expressing quantities as percentages, increasing/decreasing amounts (including £ currency), and calculating percentage changes (increase vs. decrease). • **Sequences & Algebra**: Working out the first terms or the 100th term of linear sequences given the nth term formula, plus generating arithmetic sequences from a first term (a) and common difference (d). **What Is Included in This Download?** • Student Worksheet PDFs: Clean, minimalist layouts that provide plenty of workspace for pupils to show their workings. • Complete Answer Keys: Fully worked-out step-by-step solutions showing the exact calculations—perfect for quick teacher marking or student self-assessment. • Real-World Word Problems: Contextual application tasks (such as grouping company employees or tracking recurring lesson schedules) to build mathematical reasoning. **Curriculum Alignment** • UK National Curriculum: Seamlessly covers Key Stage 3 (KS3) and Year 8/9 criteria for number sense, prime factor decomposition, percentage change calculations, and linear sequence rules. ________________________________________