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International · IGCSE · Cambridge International
Cambridge IGCSE Mathematics
A course-aware revision pathway with source metadata, topic map, paper/test structure, approved original practice, flashcards, AI tutor handoff and Battle Mode connection. This route is labelled Fully covered after passing the StudyVector depth gate.
Fully coveredLast checked 2026-05-19
Practise
Original questions mapped to topic, subtopic, skill and provider.
Flashcards
Active recall decks for formulas, facts, vocabulary and practicals.
Battle Mode
Energy earned only from real revision progress and mistake repair.
14
Top-level route areas visible before signup.
28
Smaller learning blocks for repair and review.
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Practice targets used by diagnostics and tutor handoff.
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Success criteria tied to real answers, not passive reading.
Night-before review for Cambridge IGCSE Mathematics
This plan uses your course route, target date and confidence. It is a starter preview until the student saves the course in onboarding.
practise
Start with Number
Night-before review: StudyVector starts with the highest-signal topic before widening the plan.
25 min · 10 energyflashcardsReview Integers, primes, factors and multiples flashcards
Spaced recall keeps today's work from fading before the next session.
9 min · 4 energyexam modeTry a short skill practice set
Timed practice turns understanding into exam/test readiness.
18 min · 12 energyai tutorAsk the tutor to explain the next step
Tutor mode uses course-aware language and should guide, not shortcut, the answer.
8 min · 3 energyTopic map
Cambridge IGCSE Mathematics
Number
Integers, primes, factors and multiplesFractions, decimals, percentages and standard form
Cambridge IGCSE Mathematics
Ratio, Proportion and Rates of Change
Direct and inverse proportionSpeed, distance, time and compound measures
Cambridge IGCSE Mathematics
Percentages and Financial Mathematics
Percentage change, profit and lossSimple and compound interest
Cambridge IGCSE Mathematics
Algebraic Manipulation
Expanding brackets and factorising expressionsAlgebraic fractions and indices
Cambridge IGCSE Mathematics
Equations and Inequalities
Linear and simultaneous equationsQuadratic equations and linear inequalities
Cambridge IGCSE Mathematics
Sequences and Functions
Linear, quadratic and other sequencesFunction notation, composite and inverse functions
Cambridge IGCSE Mathematics
Graphs and Their Applications
Straight-line graphs, gradient and interceptQuadratic, reciprocal and exponential graphs
Cambridge IGCSE Mathematics
Coordinate Geometry
Length, midpoint and gradient of line segmentsEquation of parallel and perpendicular lines
Cambridge IGCSE Mathematics
Geometry and Properties of Shapes
Angle properties of polygons and parallel linesSymmetry and circle theorems
Cambridge IGCSE Mathematics
Mensuration
Perimeter and area of plane shapesSurface area and volume of solids
Cambridge IGCSE Mathematics
Trigonometry
Pythagoras and right-angled trigonometrySine rule, cosine rule and area formula
Cambridge IGCSE Mathematics
Transformations and Vectors
Reflection, rotation, translation and enlargementVector notation, magnitude and addition
Cambridge IGCSE Mathematics
Probability
Single events and relative frequencyCombined events, tree diagrams and Venn diagrams
Cambridge IGCSE Mathematics
Statistics
Averages, range and frequency distributionsStatistical diagrams and cumulative frequency
Sample original practice
Work out 3/4 + 1/8, giving your answer as a fraction in its simplest form.
What is the common denominator of 4 and 8?
Source type: original · Review status: approved
Sources and legal boundary
StudyVector is independent and is not affiliated with or endorsed by exam boards unless explicitly stated.
- StudyVector original UK/USA curriculum depth map
Last checked 2026-04-29. Internal original mapping; not copied from paid platforms or official papers.
Explanation, examples and mistakes are visible before full practice
These previews come from the first-party course map and approved question registry. Fully covered means the public route has topic depth, skills, objectives, worked examples and mistake repair attached before students enter full practice.
Integers, primes, factors and multiples
What to know
- Integers, primes, factors and multiples questions usually reward choosing the representation before calculating.
- A complete answer keeps method, units, restrictions and the requested form visible.
Common mistake
Starting with a memorised method before checking what the question asks for.
Worked example
A Number question gives a graph, equation and context. What should the first working line do?
- 1. Identify the exact value, relationship or interpretation being requested.
- 2. Choose the cleanest representation: equation, graph, table, diagram or words.
- 3. Carry units and restrictions through to the final line.
Fractions, decimals, percentages and standard form
What to know
- Fractions, decimals, percentages and standard form questions usually reward choosing the representation before calculating.
- A complete answer keeps method, units, restrictions and the requested form visible.
Common mistake
Starting with a memorised method before checking what the question asks for.
Worked example
A Number question gives a graph, equation and context. What should the first working line do?
- 1. Identify the exact value, relationship or interpretation being requested.
- 2. Choose the cleanest representation: equation, graph, table, diagram or words.
- 3. Carry units and restrictions through to the final line.
Direct and inverse proportion
What to know
- Direct and inverse proportion questions usually reward choosing the representation before calculating.
- A complete answer keeps method, units, restrictions and the requested form visible.
Common mistake
Starting with a memorised method before checking what the question asks for.
Worked example
A Ratio, Proportion and Rates of Change question gives a graph, equation and context. What should the first working line do?
- 1. Identify the exact value, relationship or interpretation being requested.
- 2. Choose the cleanest representation: equation, graph, table, diagram or words.
- 3. Carry units and restrictions through to the final line.
Three quick checks
1. What skill does the approved sample question test?
maths
Use a common denominator of 8. 3/4 = 6/8, so 6/8 + 1/8 = 7/8. This is already in its simplest form.
2. What mistake should you watch for in Integers, primes, factors and multiples?
Starting with a memorised method before checking what the question asks for.
StudyVector stores common mistake patterns so the next attempt can repair the specific error rather than restart the whole course.
3. What should happen after a missed point?
Review the explanation, name the mistake, then answer a similar question while the correction is fresh.
The page feeds the same loop as practice: attempt, feedback, repair, and return.