Section 1 - Number Mastery

Level up GCSE-ready skills: indices, surds, bounds, and calculator fluency for higher-tier reasoning.

GCSE Foundation GCSE Higher
Chapters 12

Negative numbers, indices, surds, bounds, calculators.

Time invested 9 hrs

Approximate guided learning.

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Start with Chapter 1.1 to kick off your Year 9 number mastery journey.

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All chapter cards

Chapter 1.1

Four operations with negative numbers (advanced)

Tackle multi-step calculations with negative values and exam-style problems.

40 min Start
Chapter 1.2

Laws of indices (all rules)

Conquer full index laws including fractional and negative powers.

45 min Start
Chapter 1.3

Surds – introduction & simplification

Simplify surd expressions and convert between forms.

45 min Start
Chapter 1.4

Surds – operations & rationalising

Multiply, divide, and rationalise denominators confidently.

50 min Start
Chapter 1.5

Standard form – all operations

Perform calculations and conversions with numbers in scientific notation.

45 min Start
Chapter 1.6

Standard form – problem solving

Apply standard form to real-life contexts and GCSE-style questions.

40 min Start
Chapter 1.7

Estimation & bounds

Use estimation strategies and error intervals to judge accuracy.

40 min Start
Chapter 1.8

Upper & lower bounds

Calculate bounds in multiplicative contexts and interpret results.

45 min Start
Chapter 1.9

Recurring decimals to fractions

Convert recurring decimals using algebraic techniques.

40 min Start
Chapter 1.10

Calculator skills (GCSE level)

Optimise calculator workflows for accuracy and speed.

35 min Start
Chapter 1.11

Error intervals

Interpret interval notation and apply to measurement scenarios.

40 min Start
Chapter 1.12

Number problem solving (GCSE style)

Synthesize techniques across the section to solve mixed problems.

50 min Start

Next steps

Ready for more challenge? Move on to Section 2 for fractions, decimals & percentages, or revisit the Year 9 hub for diagnostics.