Factorisation including Quadratics and other expressions KS4 Higher Tier Non-Calculator (A) Factorise completely: 1. 8 12. Quadratics and higher powers: (B) Factorise completely: 1. 2. 3. 5. 2 6. 7. mathsmalakiss.com 8. 1 9. 13. 17. 21. 29. 33. mathsmalakiss.com 2 41. 42. mn + mc + an + ac . 44. mn + mc - an - ac 45. mn – mc – an + ac 46. 47. 48. 49. 50. mathsmalakiss.com 3 Difference of two squares and more challenging factorization: (c) Factorise completely: 1. 11. mathsmalakiss.com 4 *25. * 27. * 28. 64 * 29. * 30. *31. mathsmalakiss.com 5 Applications: Use factorisation to find the value of each of the following: 1. 5. 2. 7. 6. 8. 9. *10. *11. Repeat Q10, from mathsmalakiss.com . 6 Beyond GCSE (D) Factorise completely 1. 2. 3. 4. 5. 7. 10. mathsmalakiss.com 7 mathsmalakiss.com 8 mathsmalakiss.com 9 mathsmalakiss.com 10 mathsmalakiss.com 11 mathsmalakiss.com 12 mathsmalakiss.com 13 I hope you find this useful and challenging. Please check all answers and let me know if you find any errors. If you would prefer the word version, send me a message and I will upload it. Thank you. mathsmalakiss.com 14
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