Indices and Surds KS4KS5 All aspects of Indices and Surds with solutions

This is aimed at KS4 and KS5. It may be useful for the top end of KS3 and in line with the 2017 GCSE specification.
It will prove useful as a revision tool for KS5.
Will be most useful for NQTs.
Section 1: Laws of indices (powers/exponents).
OBJECTIVE: To apply laws of indices to simplify expressions involving exponents.
This section includes notes and examples on all the laws of exponents (indices).
Section 2: Questions on applications of section 1(9 main questions with 105 parts in total).
Section 3: Homework on section 1. (25 questions).
Section 4: SIMPLIFYING PERFECT SQUARE ROOTS. This section includes:
PART 1: TERMINOLOGY:
IRRATIONAL NUMBER, RADICAL (in line with the 2017 GCSE specification)
PART 2: SIMPLIFYING RADICALS and examples.
OBJECTIVE: To simplify square root expressions containing numbers and variables
Section 5: Questions on applications of section 4 (21 main questions with 41 parts).
Section 6: Homework on section 4. (25 questions).
Section 7: SIMPLIFYING IMPERFECT SQUARE ROOTS (Surds).
OBJECTIVE: To simplify imperfect square root expressions containing numbers and variables.
Section 8: Questions on section 7. (30 questions).
Section 9: Homework on section 7. (25 questions).
Section 10: ADDING and SUBTRACTING RADICAL EXPRESSIONS.
OBJECTIVE: To add and subtract radical expressions (surds). This section includes notes and examples.
Section 11: Questions on section 10. (15 questions)
Section 12: Homework on section 10 (20 questions).
Section 13: Further Simplification of Radicals. Fractional Exponents (Indices/Powers)
Section 14: Questions on section 13. (40 questions)
Section 15 : Further questions on section 13. (24 questions)
Section 16: Further work on Radicals and Exponents- Multiplication and Division.
Section 17: Questions on section 16. (25 questions)
Section 18: Extension: Rationalization of the denominator.
Section 19: Questions on section 18. (5 main questions, 21 including parts)
(Includes some applications questions)
Section 20: Miscellaneous Questions, including applications.
(17 main questions, 66 including parts of questions)
It includes a summary and answers/solutions (including alternative ways of solving some of the problems)
The HW sheets may be used for classwork.