Stage 7 Mathematics — Complete Revision Notes
Every Stage 7 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 7 · Equivalent to ม.1 / Grade 7 · 10 chapters · ~113 min to read
Contents
- 1
Integers, Squares and Roots
Integers, Squares and Rootsin reviewNumbers below zero, the four operations on them, and the squares and square roots that every later chapter leans on — the foundation the rest of Stage 7 is built from.
4 sections·~15 min·จำนวนและพีชคณิต (Number and Algebra)·CC 6.NS, 7.NS, 8.EE
- 2
Factors, Multiples and Primes
Factors, Multiples and Primesin reviewHow whole numbers are built out of primes, and the two tools — HCF and LCM — that turn that structure into answers about tiles, timetables and fractions.
4 sections·~13 min·จำนวนและพีชคณิต (Number and Algebra)·CC 6.NS, 4.OA
- 3
Place Value, Decimals and Rounding
Place Value, Decimals and Roundingin reviewReading and ordering decimals, multiplying and dividing by powers of ten, and rounding well enough that an estimate can be trusted to catch a wrong answer.
3 sections·~10 min·จำนวนและพีชคณิต (Number and Algebra)·CC 5.NBT, 6.NS
- 4
Fractions
Fractionsin reviewEquivalence, comparison and the four operations — including the two rules students most often merge by mistake: you need a common denominator to add, but not to multiply.
3 sections·~10 min·จำนวนและพีชคณิต (Number and Algebra)·CC 5.NF, 6.NS
- 5
Percentages, Ratio and Proportion
Percentages, Ratio and Proportionin reviewThree ways of describing the same idea — comparing quantities — and the discounts, recipes and exchange rates that need them every day.
4 sections·~12 min·จำนวนและพีชคณิต (Number and Algebra)·CC 6.RP, 7.RP
- 6
Expressions, Equations and Formulae
Expressions, Equations and Formulaein reviewLetters standing for numbers — how to build an expression, simplify it, substitute into it, and solve the equations that result.
4 sections·~11 min·จำนวนและพีชคณิต (Number and Algebra)·CC 6.EE, 7.EE
- 7
Sequences, Coordinates and Graphs
Sequences, Coordinates and Graphsin reviewPatterns in numbers, the rules behind them, and how a rule becomes a straight line on a grid — the first place algebra and geometry meet.
3 sections·~10 min·จำนวนและพีชคณิต (Number and Algebra)·CC 6.EE, 8.F
- 8
Angles, Shapes and Symmetry
Angles, Shapes and Symmetryin reviewThe angle facts that every later geometry proof is built from, the properties that name a triangle or a quadrilateral, and the two kinds of symmetry.
3 sections·~11 min·การวัดและเรขาคณิต (Geometry and Measure)·CC 7.G, 8.G
- 9
Perimeter, Area and Volume
Perimeter, Area and Volumein reviewMeasuring the edge, the surface and the space inside — with units that make it obvious when the wrong formula has been used.
3 sections·~9 min·การวัดและเรขาคณิต (Geometry and Measure)·CC 6.G, 7.G
- 10
Statistics and Probability
Statistics and Probabilityin reviewCollecting data, summarising it with an average and a range, showing it in a chart, and measuring how likely something is — plus the ways each of those can mislead.
3 sections·~12 min·สถิติและความน่าจะเป็น (Statistics and Probability)·CC 6.SP, 7.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.