Power residues modulo an integer
Whole chapter · 12–18 focused hours
Number relations and calculation
School arithmetic and working reading fluency, with rusty Class X mathematics; first focused CSAT preparation. Learners needing basic literacy or foundational numeracy remediation need a separate diagnostic budget.
Includes
- Assigned explanatory sections and selected worked examples
- Available mapped CSAT questions with untimed then timed attempts
- Mistake analysis and one initial recall review
Separate time needed
- Full-length timed papers
- Later spaced revision
- All optional textbook exercises
- Advanced mathematics beyond Class X or competition-specific high-difficulty extensions
- Optional supplementary exam-book exercises beyond available mapped practice
Editorial planning estimate; not learner timing data
Where to study this topic
- Remainders of powers ↗
Initial powers-of-2 table modulo 7 and Key Question explanation of the repeating remainder; no spreadsheet required
Whole chapter reading
- Divisibility Rules ↗
Divisibility table for 2–12 and worked examples; integer decimal representation
- Greatest Common Factor ↗
Common factors and Finding the Greatest Common Factor methods 1–2, including 24 and 108
- Least Common Multiple ↗
Positive common-multiple lists and worked examples for two and three positive integers
- Division and Remainders ↗
Opening examples and Check by Multiplying: quotient, remainder and divisor relation
- Even and Odd Numbers ↗
Definitions, zero, addition/subtraction and multiplication tables; omit the English-spelling aside
- Powerful Finale ↗
Problem and Student Solutions: powers of 3, repeated unit digits and exponent position
- Place Value ↗
Ten digits, tens/hundreds, zero placeholders and expanded-value examples
- Counting Factors ↗
Problem: Alison and Charlie’s 360 methods; Getting Started: 12; Holly’s 24-factor calculation. Exclude extension minimisation claims
- Remainders of powers ↗
Initial powers-of-2 table modulo 7 and Key Question explanation of the repeating remainder; no spreadsheet required
- Digital Book ↗
Problem and Student Solutions: one-, two- and three-digit blocks when numbering pages 1 through 320
- NIOS Mathematics, lesson 1: Number Systems ↗
Sections 1.2–1.10 and 1.13; selected definitions and comparisons
- NIOS Mathematics, lesson 2: Exponents and Radicals ↗
Sections 2.1–2.6; omit extended surd algebra
- Concise CSAT—General Studies Paper II, seventh edition, ISBN 9789355327161 ↗
Chapter 6: Basic Numeracy and Data Interpretation; number relations practice
Book required · Supplementary - Concise CSAT—General Studies Paper II, seventh edition, ISBN 9789355327161 ↗
Chapter 6: Basic Numeracy and Data Interpretation
Book required · Supplementary