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Stage 8 Mathematics — Complete Revision Notes

Every Stage 8 topic with definitions, worked examples shown step by step, the mistakes students actually make, and English–Thai key terms for students in international and EP programmes.

Cambridge Lower Secondary — Stage 8 · Equivalent to ม.2 / Grade 8 · 11 chapters · ~114 min to read

Contents

  1. 1

    Indices, Roots and Standard Form

    Indices, Roots and Standard Formin review

    The laws that let you handle enormous and tiny numbers in one line, and the notation astronomers and chemists use for the same reason.

    4 sections·~11 min·จำนวนและพีชคณิต (Number and Algebra)·CC 8.EE

  2. 2

    Fractions, Decimals and Percentages

    Fractions, Decimals and Percentagesin review

    Mixed numbers in all four operations, percentage change in both directions, and the reverse question that catches almost everyone: finding the original amount.

    3 sections·~9 min·จำนวนและพีชคณิต (Number and Algebra)·CC 7.NS, 7.RP

  3. 3

    Ratio, Proportion and Rates

    Ratio, Proportion and Ratesin review

    Sharing in a ratio, telling direct from inverse proportion, and the compound measures — speed and density — that are just rates with names.

    3 sections·~8 min·จำนวนและพีชคณิต (Number and Algebra)·CC 7.RP, 6.RP

  4. 4

    Expressions and Formulae

    Expressions and Formulaein review

    Expanding double brackets, factorising them back, and rearranging a formula so it answers the question you actually have.

    3 sections·~11 min·จำนวนและพีชคณิต (Number and Algebra)·CC A-SSE, A-APR, 7.EE

  5. 5

    Equations and Inequalities

    Equations and Inequalitiesin review

    Equations with brackets, fractions and unknowns on both sides — then inequalities, which behave identically except for the one rule that reverses everything.

    3 sections·~10 min·จำนวนและพีชคณิต (Number and Algebra)·CC 7.EE, A-REI

  6. 6

    Sequences and Linear Graphs

    Sequences and Linear Graphsin review

    The $n$th term of a sequence, and the equation $y = mx + c$ that turns a rule into a line you can read gradient and intercept straight off.

    3 sections·~10 min·จำนวนและพีชคณิต (Number and Algebra)·CC 8.F, 8.EE

  7. 7

    Angles, Parallel Lines and Polygons

    Angles, Parallel Lines and Polygonsin review

    The angle facts that come with a pair of parallel lines, the interior and exterior angles of any polygon, and how to write a reason rather than just an answer.

    3 sections·~11 min·การวัดและเรขาคณิต (Geometry and Measure)·CC 8.G, G-CO

  8. 8

    Pythagoras' Theorem

    Pythagoras' Theoremin review

    The relationship between the three sides of a right-angled triangle — how to find a missing side, and how to use it backwards to prove an angle is a right angle.

    3 sections·~10 min·การวัดและเรขาคณิต (Geometry and Measure)·CC 8.G

  9. 9

    Area, Circles and Volume

    Area, Circles and Volumein review

    The trapezium, the circle, and the prisms built from them — with the one rule that makes every volume question at this stage the same question.

    3 sections·~11 min·การวัดและเรขาคณิต (Geometry and Measure)·CC 7.G, 8.G

  10. 10

    Transformations and Congruence

    Transformations and Congruencein review

    Moving a shape without changing it — reflection, rotation and translation — and enlargement, which changes exactly one thing.

    3 sections·~11 min·การวัดและเรขาคณิต (Geometry and Measure)·CC 8.G, G-CO

  11. 11

    Statistics and Probability

    Statistics and Probabilityin review

    Averages from a frequency table, comparing two sets of data honestly, and the difference between the probability you calculate and the one you observe.

    3 sections·~12 min·สถิติและความน่าจะเป็น (Statistics and Probability)·CC 7.SP, 8.SP

Which curricula this maps to

Chapter order follows the Cambridge syllabus this book is written for. Each chapter also states its US Common Core domains and the matching สสวท. strand, so a student moving between an international programme and the Thai system can see where the same ground sits in the other curriculum.

Note: we name strands and domains, never individual indicator codes. Mapping to a single indicator requires interpretation, and we would rather not claim precision we cannot defend.

MathPrepAI is not affiliated with, endorsed by, or connected to Cambridge Assessment International Education. Syllabus names and codes are used only to say what this book covers. Every problem here is written for this book rather than taken from a past paper.