IGCSE Mathematics 0580 — Complete Self-Study Course
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About Course
Written and worked by experienced teachers with more than 15 years teaching the Cambridge IGCSE curriculum. This course covers the whole of Cambridge IGCSE Mathematics (0580), from your first Form 1 lessons through to the exam year. When you open the course you choose your pathway: Core (Papers 1 and 3, grades C–G) or Extended (Papers 2 and 4, grades A*–E) — or go straight to the mock exams. From then on your lessons, worked examples, practice questions and mock papers all follow your tier, across all nine syllabus strands — Number, Algebra and graphs, Coordinate geometry, Geometry, Mensuration, Trigonometry, Transformations and vectors, Probability and Statistics.
Optional warm-up lessons for Form 1–2 build the basics: place value and negatives, the four operations, fractions and percentages, the language of algebra, angles, shapes and reading simple charts. The Core pathway covers everything examined on Papers 1 and 3 — indices and standard form, equations and sequences, straight-line graphs, circles and polygons, Pythagoras and trigonometry, probability and averages. The Extended pathway teaches every topic at Extended level and adds: surds and fractional indices, quadratics and algebraic fractions, functions and differentiation, circle theorems, sine and cosine rules, vectors, conditional probability, cumulative frequency and histograms.
Every unit works the same way. Read the lesson, follow the worked examples, then try the “Your Turn” questions yourself before tapping to reveal your teacher’s full solution — handwritten exactly as it should look in your exam booklet, with the marks (B1, M1, A1) flagged so you learn how examiners actually award them. Every syllabus topic has its own practice set of 24 questions — 3,000 in all, written separately for Core and Extended — with the answer and full working one tap away. Each strand ends with timed strand tests, and the exam room holds 24 full-length online mock papers (six sets each for Papers 1, 2, 3 and 4) that you sit in timed exam mode and then mark with the mark scheme.
Every question is tagged for the paper it belongs to, so you always know whether you may use a calculator. The course follows the current syllabus and stays valid through 2030. Every lesson, example, mark scheme and mock paper was prepared and checked by teachers with over 15 years in IGCSE classrooms — so the questions match what Cambridge actually asks, and the solutions show you exactly what earns marks.
Nothing is locked by year group. A short placement test tells you exactly where to begin, and if one topic is giving you trouble you can drop back a band or jump forward at any time.
What Will You Learn?
- Cover every topic on the Cambridge IGCSE 0580 syllabus — all nine strands
- Choose your tier — Core or Extended — and follow a pathway built only for your papers
- Train for both your papers, with every question tagged calculator or non-calculator
- Practise with 24 questions on every syllabus topic, with separate Core and Extended sets
- Follow your teacher’s handwritten solution to every question, worked as it should appear in the exam
- See how marks are earned, with B1, M1 and A1 flags on each model answer
- Sit 24 full-length online mock papers, timed like the real exam, then mark them with the mark scheme
- Find your starting point in minutes with the free placement test
- Study on any device — the whole course works on the Stadira app
Course Content
🧭 START HERE — Choose your path
Pick Core or Extended — or go straight to the mock exams.
Find the gap · Number
Find the gap · Algebra
Find the gap · Geometry and Measure
Find the gap · Statistics and Probability
🎯 EXAM SKILLS & MOCK EXAMS — 🔵 Core path (Papers 1 & 3)
Core mock papers: Paper 1 (no calculator) and Paper 3 (calculator), 1 h 30 min, 80 marks each.
Mock Set 1 — Paper 1 (Core, No Calculator)
Mock Set 1 — Paper 3 (Core, Calculator)
Mock Set 2 — Paper 1 (Core, No Calculator)
Mock Set 2 — Paper 3 (Core, Calculator)
Mock Set 3 — Paper 1 (Core, No Calculator)
Mock Set 3 — Paper 3 (Core, Calculator)
Mock Set 4 — Paper 1 (Core, No Calculator)
Mock Set 4 — Paper 3 (Core, Calculator)
Mock Set 5 — Paper 1 (Core, No Calculator)
Mock Set 5 — Paper 3 (Core, Calculator)
Mock Set 6 — Paper 1 (Core, No Calculator)
Mock Set 6 — Paper 3 (Core, Calculator)
🚫 Paper 1 Rapid Check · Set 1 — Core, non-calculator (16 questions, 25 min)
🚫 Paper 1 Rapid Check · Set 2 — Core, non-calculator (16 questions, 25 min)
🚫 Paper 1 Rapid Check · Set 3 — Core, non-calculator (16 questions, 25 min)
🚫 Paper 1 Rapid Check · Set 4 — Core, non-calculator (16 questions, 25 min)
🚫 Paper 1 Rapid Check · Set 5 — Core, non-calculator (16 questions, 25 min)
🚫 Paper 1 Rapid Check · Set 6 — Core, non-calculator (16 questions, 25 min)
🔢 Paper 3 Rapid Check · Set 1 — Core, calculator (16 questions, 25 min)
🔢 Paper 3 Rapid Check · Set 2 — Core, calculator (16 questions, 25 min)
🔢 Paper 3 Rapid Check · Set 3 — Core, calculator (16 questions, 25 min)
🔢 Paper 3 Rapid Check · Set 4 — Core, calculator (16 questions, 25 min)
🔢 Paper 3 Rapid Check · Set 5 — Core, calculator (16 questions, 25 min)
🔢 Paper 3 Rapid Check · Set 6 — Core, calculator (16 questions, 25 min)
🎯 EXAM SKILLS & MOCK EXAMS — 🟠 Extended path (Papers 2 & 4)
Extended mock papers: Paper 2 (no calculator) and Paper 4 (calculator), 2 h, 100 marks each.
Exam Technique — Extended (read before the mocks)
Mock Set 1 — Paper 2 (Extended, No Calculator)
Mock Set 1 — Paper 4 (Extended, Calculator)
Mock Set 2 — Paper 2 (Extended, No Calculator)
Mock Set 2 — Paper 4 (Extended, Calculator)
Mock Set 3 — Paper 2 (Extended, No Calculator)
Mock Set 3 — Paper 4 (Extended, Calculator)
Mock Set 4 — Paper 2 (Extended, No Calculator)
Mock Set 4 — Paper 4 (Extended, Calculator)
Mock Set 5 — Paper 2 (Extended, No Calculator)
Mock Set 5 — Paper 4 (Extended, Calculator)
Mock Set 6 — Paper 2 (Extended, No Calculator)
Mock Set 6 — Paper 4 (Extended, Calculator)
🚫 Paper 2 Rapid Check · Set 1 — Extended, non-calculator (16 questions, 30 min)
🚫 Paper 2 Rapid Check · Set 2 — Extended, non-calculator (16 questions, 30 min)
🚫 Paper 2 Rapid Check · Set 3 — Extended, non-calculator (16 questions, 30 min)
🚫 Paper 2 Rapid Check · Set 4 — Extended, non-calculator (16 questions, 30 min)
🚫 Paper 2 Rapid Check · Set 5 — Extended, non-calculator (16 questions, 30 min)
🚫 Paper 2 Rapid Check · Set 6 — Extended, non-calculator (16 questions, 30 min)
🔢 Paper 4 Rapid Check · Set 1 — Extended, calculator (16 questions, 30 min)
🔢 Paper 4 Rapid Check · Set 2 — Extended, calculator (16 questions, 30 min)
🔢 Paper 4 Rapid Check · Set 3 — Extended, calculator (16 questions, 30 min)
🔢 Paper 4 Rapid Check · Set 4 — Extended, calculator (16 questions, 30 min)
🔢 Paper 4 Rapid Check · Set 5 — Extended, calculator (16 questions, 30 min)
🔢 Paper 4 Rapid Check · Set 6 — Extended, calculator (16 questions, 30 min)
🟢 Warm-up · Number (Form 1–2, optional)
Gentle starter lessons for Core students in Form 1–2.
N-F1 Check Yourself · Place Value & Negative Numbers
N-F2 The Four Operations and Order of Operations
N-F2 Check Yourself · Four Operations & BODMAS
N-F3 Factors, Multiples and Primes
N-F3 Check Yourself · Factors, Multiples & Primes
N-F4 Fractions and Decimals Basics
N-F4 Check Yourself · Fractions & Decimals
N-F5 Percentages and Ratio Basics
N-F5 Check Yourself · Percentages & Ratio
N-F6 Time, Money and Everyday Maths
N-F6 Check Yourself · Time & Money
🔵 Core 1 · Number
Core tier — Papers 1 & 3.
N-C1 Check Yourself · Types of Number
🔵 Core Practice C1.1: Types of number (24 questions)
N-C2 Sets and Venn Diagrams
N-C2 Check Yourself · Sets & Venn Diagrams
🔵 Core Practice C1.2: Sets (24 questions)
N-C3 Powers and Roots
N-C3 Check Yourself · Powers & Roots
🔵 Core Practice C1.3: Powers and roots (24 questions)
N-C4 Fractions, Decimals and Percentages
N-C4 Check Yourself · Fractions, Decimals & Percentages
🔵 Core Practice C1.4: Fractions, decimals and percentages (24 questions)
🔵 Core Practice C1.5: Ordering (24 questions)
N-C5 The Four Operations at Exam Level
N-C5 Check Yourself · Four Operations at Exam Level
🔵 Core Practice C1.6: The four operations (24 questions)
N-C6 Indices I
N-C6 Check Yourself · Indices I
🔵 Core Practice C1.7: Indices I (24 questions)
N-C7 Standard Form
N-C7 Check Yourself · Standard Form
🔵 Core Practice C1.8: Standard form (24 questions)
N-C8 Estimation and Limits of Accuracy
N-C8 Check Yourself · Estimation & Bounds
🔵 Core Practice C1.9: Estimation (24 questions)
🔵 Core Practice C1.10: Limits of accuracy (24 questions)
N-C9 Ratio and Proportion
N-C9 Check Yourself · Ratio & Proportion
🔵 Core Practice C1.11: Ratio and proportion (24 questions)
N-C10 Rates — Speed, Density and Currency
N-C10 Check Yourself · Rates
🔵 Core Practice C1.12: Rates (24 questions)
N-C11 Percentages — Change and Interest
N-C11 Check Yourself · Percentages
🔵 Core Practice C1.13: Percentages (24 questions)
N-C12 Using a Calculator Well
N-C12 Check Yourself · Calculator Skills
🔵 Core Practice C1.14: Using a calculator (24 questions)
N-C13 Time and Money at Exam Level
N-C13 Check Yourself · Time & Money
🔵 Core Practice C1.15: Time (24 questions)
🔵 Core Practice C1.16: Money (24 questions)
🏁 Number Strand Test — 🚫 Non-Calculator (Core)
🏁 Number Strand Test — 🔢 Calculator (Core)
🟢 Warm-up · Algebra & Graphs (Form 1–2, optional)
Gentle starter lessons for Core students in Form 1–2.
A-F1 Check Yourself · The Language of Algebra
A-F2 Simplifying — Like Terms and the Invisible ×
A-F2 Check Yourself · Simplifying
A-F3 Brackets I — Expanding and Factorising
A-F3 Check Yourself · Brackets I
A-F4 Solving Simple Equations
A-F4 Check Yourself · Simple Equations
A-F5 Formulas — Words into Symbols
A-F5 Check Yourself · Formulas
A-F6 Number Patterns and Sequences
A-F6 Check Yourself · Patterns and Sequences
A-F7 Coordinates and Reading Real-Life Graphs
A-F7 Check Yourself · Coordinates and Graphs
🔵 Core 2 · Algebra & Graphs
Core tier — Papers 1 & 3.
A-C1 Check Yourself · Manipulation I
🔵 Core Practice C2.1: Introduction to algebra (24 questions)
A-C2 Expanding Double Brackets
A-C2 Check Yourself · Double Brackets
A-C3 Factorising Fully
A-C3 Check Yourself · Factorising
🔵 Core Practice C2.2: Algebraic manipulation (24 questions)
A-C4 Indices II — Index Rules with Letters
A-C4 Check Yourself · Indices II
🔵 Core Practice C2.4: Indices II (24 questions)
A-C5 Building and Solving Linear Equations
A-C5 Check Yourself · Linear Equations
A-C6 Simultaneous Linear Equations
A-C6 Check Yourself · Simultaneous Equations
A-C7 Changing the Subject of a Formula
A-C7 Check Yourself · Changing the Subject
🔵 Core Practice C2.5: Equations (24 questions)
A-C8 Inequalities on the Number Line
A-C8 Check Yourself · Inequalities
🔵 Core Practice C2.6: Inequalities (24 questions)
A-C9 Sequences and the nth Term
A-C9 Check Yourself · Sequences and nth Term
🔵 Core Practice C2.7: Sequences (24 questions)
A-C10 Graphs in Practical Situations
A-C10 Check Yourself · Practical Graphs
🔵 Core Practice C2.9: Graphs in practical situations (24 questions)
A-C11 Graphs of Functions
A-C11 Check Yourself · Graphs of Functions
🔵 Core Practice C2.10: Graphs of functions (24 questions)
A-C12 Sketching Curves
A-C12 Check Yourself · Sketching Curves
🔵 Core Practice C2.11: Sketching curves (24 questions)
🏁 Algebra Strand Test — 🚫 Non-Calculator (Core)
🏁 Algebra Strand Test — 🔢 Calculator (Core)
🟢 Warm-up · Coordinate Geometry (Form 1–2, optional)
Gentle starter lessons for Core students in Form 1–2.
CG-F1 Check Yourself · Plotting Straight Lines
🔵 Core 3 · Coordinate Geometry
Core tier — Papers 1 & 3.
CG-C1 Check Yourself · Drawing Linear Graphs
🔵 Core Practice C3.1: Coordinates (24 questions)
🔵 Core Practice C3.2: Drawing linear graphs (24 questions)
CG-C2 Gradient of a Straight Line
CG-C2 Check Yourself · Gradient
🔵 Core Practice C3.3: Gradient of linear graphs (24 questions)
CG-C3 The Equation of a Straight Line
CG-C3 Check Yourself · Equation of a Line
🔵 Core Practice C3.5: Equations of linear graphs (24 questions)
CG-C4 Parallel Lines
CG-C4 Check Yourself · Parallel Lines
🔵 Core Practice C3.6: Parallel lines (24 questions)
🏁 Coordinate Geometry Strand Test (Core) — 🚫 Non-Calculator
🟢 Warm-up · Geometry (Form 1–2, optional)
Gentle starter lessons for Core students in Form 1–2.
G-F1 Check Yourself · Shape Vocabulary
G-F2 Measuring, Drawing and Nets
G-F2 Check Yourself · Measuring and Nets
G-F3 Angle Basics — Points, Lines and Opposites
G-F3 Check Yourself · Angle Basics
🔵 Core 4 · Geometry
Core tier — Papers 1 & 3.
🔵 Core Practice C4.1: Geometrical terms (24 questions)
G-C1 Angle Rules — Triangles and Quadrilaterals
G-C1 Check Yourself · Triangle and Quadrilateral Angles
G-C2 Angles in Parallel Lines
G-C2 Check Yourself · Parallel Lines
G-C3 Angles in Polygons
G-C3 Check Yourself · Polygons
🔵 Core Practice C4.6: Angles (24 questions)
G-C4 Constructions and Nets at Exam Level
G-C4 Check Yourself · Constructions and Nets
🔵 Core Practice C4.2: Geometrical constructions (24 questions)
G-C5 Scale Drawings and Bearings
G-C5 Check Yourself · Bearings
🔵 Core Practice C4.3: Scale drawings (24 questions)
G-C6 Similarity and Symmetry
G-C6 Check Yourself · Similarity and Symmetry
🔵 Core Practice C4.4: Similarity (24 questions)
🔵 Core Practice C4.5: Symmetry (24 questions)
G-C7 Circle Facts — Semicircle and Tangent
G-C7 Check Yourself · Circle Facts
🔵 Core Practice C4.7: Circle theorems (24 questions)
🏁 Geometry Strand Test (Core) — 🚫 Non-Calculator
🟢 Warm-up · Mensuration (Form 1–2, optional)
Gentle starter lessons for Core students in Form 1–2.
M-F1 Check Yourself · Units and Conversions
M-F2 Perimeter and Area Basics
M-F2 Check Yourself · Perimeter and Area
🔵 Core 5 · Mensuration
Core tier — Papers 1 & 3.
🔵 Core Practice C5.1: Units of measure (24 questions)
M-C1 Areas — Parallelogram and Trapezium
M-C1 Check Yourself · Parallelogram and Trapezium
🔵 Core Practice C5.2: Area and perimeter (24 questions)
M-C2 Circles — Circumference and Area
M-C2 Check Yourself · Circles
M-C3 Arcs and Sectors
M-C3 Check Yourself · Arcs and Sectors
🔵 Core Practice C5.3: Circles, arcs and sectors (24 questions)
M-C4 Surface Area and Volume of Solids
M-C4 Check Yourself · Surface Area and Volume
🔵 Core Practice C5.4: Surface area and volume (24 questions)
M-C5 Compound Shapes and Parts of Solids
M-C5 Check Yourself · Compound Shapes
🔵 Core Practice C5.5: Compound shapes and parts of shapes (24 questions)
🏁 Mensuration Strand Test (Core) — mixed
🟢 Warm-up · Trigonometry (Form 1–2, optional)
Gentle starter lessons for Core students in Form 1–2.
T-F1 Check Yourself · Right-Triangle Toolkit
🔵 Core 6 · Trigonometry
Core tier — Papers 1 & 3.
T-C1 Check Yourself · Pythagoras
🔵 Core Practice C6.1: Pythagoras’ theorem (24 questions)
T-C2 SOHCAHTOA I — Finding Sides
T-C2 Check Yourself · Finding Sides
T-C3 SOHCAHTOA II — Finding Angles and Bearings
T-C3 Check Yourself · Finding Angles
🔵 Core Practice C6.2: Right-angled triangles (24 questions)
🏁 Trigonometry Strand Test (Core) — 🔢 Calculator
🟢 Warm-up · Transformations & Vectors (Form 1–2, optional)
Gentle starter lessons for Core students in Form 1–2.
TV-F1 Check Yourself · Slides, Flips and Turns
🔵 Core 7 · Transformations & Vectors
Core tier — Papers 1 & 3.
TV-C1 Check Yourself · Reflection and Rotation
TV-C2 Translation and Column Vectors
TV-C2 Check Yourself · Translation and Vectors
TV-C3 Enlargement
TV-C3 Check Yourself · Enlargement
🔵 Core Practice C7.1: Transformations (24 questions)
🔵 Strand Test · Transformations Core (35 min)
🟢 Warm-up · Probability (Form 1–2, optional)
Gentle starter lessons for Core students in Form 1–2.
P-F1 Check Yourself · The Language of Chance
🔵 Core 8 · Probability
Core tier — Papers 1 & 3.
P-C1 Check Yourself · Single Events and Complement
🔵 Core Practice C8.1: Introduction to probability (24 questions)
P-C2 Relative Frequency and Expected Frequency
P-C2 Check Yourself · Relative and Expected Frequency
🔵 Core Practice C8.2: Relative and expected frequencies (24 questions)
P-C3 Possibility Diagrams
P-C3 Check Yourself · Possibility Diagrams
P-C4 Tree Diagrams
P-C4 Check Yourself · Tree Diagrams
🔵 Core Practice C8.3: Probability of combined events (24 questions)
🔵 Strand Test · Probability Core (35 min)
🟢 Warm-up · Statistics (Form 1–2, optional)
Gentle starter lessons for Core students in Form 1–2.
S-F1 Check Yourself · Collecting and Showing Data
🔵 Core 9 · Statistics
Core tier — Papers 1 & 3.
🔵 Core Practice C9.1: Classifying statistical data (24 questions)
🔵 Core Practice C9.2: Interpreting statistical data (24 questions)
S-C1 Mean, Median, Mode and Range
S-C1 Check Yourself · Averages and Range
🔵 Core Practice C9.3: Averages and range (24 questions)
S-C2 Frequency Tables and Grouped Data
S-C2 Check Yourself · Frequency Tables
S-C3 Pie Charts and Stem-and-Leaf
S-C3 Check Yourself · Pie Charts and Stem-and-Leaf
🔵 Core Practice C9.4: Statistical charts and diagrams (24 questions)
S-C4 Scatter Diagrams and Correlation
S-C4 Check Yourself · Scatter and Correlation
🔵 Core Practice C9.5: Scatter diagrams (24 questions)
🔵 Strand Test · Statistics Core (35 min)
🟠 Extended 1 · Number
Extended tier — Papers 2 & 4.
🟠 Extended Practice E1.1: Types of number (24 questions)
🟠 Extended Practice E1.3: Powers and roots (24 questions)
🟠 Extended Practice E1.5: Ordering (24 questions)
N-E1 Sets — Extended Notation and Three-Set Venn
N-E1 Check Yourself · Extended Sets
🟠 Extended Practice E1.2: Sets (24 questions)
N-E0b Exact Arithmetic: The Four Operations at Extended Level
🟠 Extended Practice E1.6: The four operations (24 questions)
N-E2 Indices — Negative and Fractional
N-E2 Check Yourself · Fractional Indices
🟠 Extended Practice E1.7: Indices I (24 questions)
N-E0c Standard Form, Estimation and the Calculator at Extended Level
🟠 Extended Practice E1.8: Standard form (24 questions)
🟠 Extended Practice E1.9: Estimation (24 questions)
🟠 Extended Practice E1.14: Using a calculator (24 questions)
N-E3 Bounds — Calculating with Limits of Accuracy
N-E3 Check Yourself · Bounds Calculations
🟠 Extended Practice E1.10: Limits of accuracy (24 questions)
N-E4 Harder Ratio, Reverse Percentages and Recurring Decimals
N-E4 Check Yourself · Reverse Percentages & Recurring Decimals
🟠 Extended Practice E1.4: Fractions, decimals and percentages (24 questions)
🟠 Extended Practice E1.11: Ratio and proportion (24 questions)
🟠 Extended Practice E1.12: Rates (24 questions)
🟠 Extended Practice E1.13: Percentages (24 questions)
N-E0d Time and Money at Extended Level
🟠 Extended Practice E1.15: Time (24 questions)
🟠 Extended Practice E1.16: Money (24 questions)
N-E5 Exponential Growth and Decay
N-E5 Check Yourself · Exponential Growth & Decay
🟠 Extended Practice E1.17: Exponential growth and decay (24 questions)
N-E6 Surds
N-E6 Check Yourself · Surds
🟠 Extended Practice E1.18: Surds (24 questions)
🏁 Number Strand Test — 🚫 Non-Calculator (Extended)
🏁 Number Strand Test — 🔢 Calculator (Extended)
🟠 Extended 2 · Algebra & Graphs
Extended tier — Papers 2 & 4.
🟠 Extended Practice E2.1: Introduction to algebra (24 questions)
A-E1 Advanced Expanding — Two Variables and Triple Brackets
A-E1 Check Yourself · Advanced Expanding
A-E2 The Factorising Toolkit
A-E2 Check Yourself · Factorising Toolkit
A-E3 Completing the Square
A-E3 Check Yourself · Completing the Square
🟠 Extended Practice E2.2: Algebraic manipulation (24 questions)
A-E4 Algebraic Fractions
A-E4 Check Yourself · Algebraic Fractions
🟠 Extended Practice E2.3: Algebraic fractions (24 questions)
A-E5 Fractional Indices in Algebra
A-E5 Check Yourself · Fractional Indices in Algebra
🟠 Extended Practice E2.4: Indices II (24 questions)
A-E6 Quadratic and Fractional Equations
A-E6 Check Yourself · Quadratic Equations
A-E7 Harder Simultaneous and Rearranging
A-E7 Check Yourself · Harder Simultaneous and Rearranging
🟠 Extended Practice E2.5: Equations (24 questions)
A-E8 Inequalities Extended — Solving and Regions
A-E8 Check Yourself · Inequalities Extended
🟠 Extended Practice E2.6: Inequalities (24 questions)
A-E9 Sequences Extended — Quadratic, Cubic and Exponential
A-E9 Check Yourself · Sequences Extended
🟠 Extended Practice E2.7: Sequences (24 questions)
A-E10 Proportion — Direct and Inverse
A-E10 Check Yourself · Proportion
🟠 Extended Practice E2.8: Proportion (24 questions)
A-E11 Functions and Graphs Extended
A-E11 Check Yourself · Functions and Graphs Extended
🟠 Extended Practice E2.10: Graphs of functions (24 questions)
🟠 Extended Practice E2.11: Sketching curves (24 questions)
A-E12 Kinematics Graphs — Speed–Time and Acceleration
A-E12 Check Yourself · Kinematics Graphs
🟠 Extended Practice E2.9: Graphs in practical situations (24 questions)
A-E13 Differentiation — Your First Calculus
A-E13 Check Yourself · Differentiation
🟠 Extended Practice E2.12: Differentiation (24 questions)
A-E14 Functions — f(x), Inverses and Composites
A-E14 Check Yourself · Functions
🟠 Extended Practice E2.13: Functions (24 questions)
🏁 Algebra Strand Test — 🚫 Non-Calculator (Extended)
🏁 Algebra Strand Test — 🔢 Calculator (Extended)
🟠 Extended 3 · Coordinate Geometry
Extended tier — Papers 2 & 4.
🟠 Extended Practice E3.1: Coordinates (24 questions)
🟠 Extended Practice E3.2: Drawing linear graphs (24 questions)
🟠 Extended Practice E3.6: Parallel lines (24 questions)
CG-E1 Gradient from Two Points and ax + by = c
CG-E1 Check Yourself · Two-Point Gradient
🟠 Extended Practice E3.3: Gradient of linear graphs (24 questions)
🟠 Extended Practice E3.5: Equations of linear graphs (24 questions)
CG-E2 Length and Midpoint of a Line Segment
CG-E2 Check Yourself · Length and Midpoint
🟠 Extended Practice E3.4: Length and midpoint (24 questions)
CG-E3 Perpendicular Lines and the Perpendicular Bisector
CG-E3 Check Yourself · Perpendicular Lines
🟠 Extended Practice E3.7: Perpendicular lines (24 questions)
🏁 Coordinate Geometry Strand Test (Extended) — mixed
🟠 Extended 4 · Geometry
Extended tier — Papers 2 & 4.
🟠 Extended Practice E4.1: Geometrical terms (24 questions)
🟠 Extended Practice E4.2: Geometrical constructions (24 questions)
🟠 Extended Practice E4.3: Scale drawings (24 questions)
G-E1 Similar Areas and Volumes
G-E1 Check Yourself · Similar Areas and Volumes
🟠 Extended Practice E4.4: Similarity (24 questions)
🟠 Extended Practice E4.5: Symmetry (24 questions)
G-E0b Angle Properties at Extended Level
🟠 Extended Practice E4.6: Angles (24 questions)
G-E2 Circle Theorems I
G-E2 Check Yourself · Circle Theorems I
🟠 Extended Practice E4.7: Circle theorems I (24 questions)
G-E3 Circle Theorems II — Tangents, Chords and the Alternate Segment
G-E3 Check Yourself · Circle Theorems II
🟠 Extended Practice E4.8: Circle theorems II (24 questions)
🏁 Geometry Strand Test (Extended) — mixed
🟠 Extended 5 · Mensuration
Extended tier — Papers 2 & 4.
🟠 Extended Practice E5.1: Units of measure (24 questions)
🟠 Extended Practice E5.2: Area and perimeter (24 questions)
M-E1 Sectors at Any Angle
M-E1 Check Yourself · Sectors at Any Angle
🟠 Extended Practice E5.3: Circles, arcs and sectors (24 questions)
M-E2 Reverse Volumes and Exact-π Craft
M-E2 Check Yourself · Reverse Volumes
🟠 Extended Practice E5.4: Surface area and volume (24 questions)
🟠 Extended Practice E5.5: Compound shapes and parts of shapes (24 questions)
🏁 Mensuration Strand Test (Extended) — mixed
🟠 Extended 6 · Trigonometry
Extended tier — Papers 2 & 4.
🟠 Extended Practice E6.1: Pythagoras’ theorem (24 questions)
T-E1 Elevation, Depression and Perpendicular Distance
T-E1 Check Yourself · Elevation and Depression
🟠 Extended Practice E6.2: Right-angled triangles (24 questions)
T-E2 Exact Trigonometric Values
T-E2 Check Yourself · Exact Values
🟠 Extended Practice E6.3: Exact trigonometric values (24 questions)
T-E3 Trig Graphs and Equations
T-E3 Check Yourself · Trig Graphs and Equations
🟠 Extended Practice E6.4: Trigonometric functions (24 questions)
T-E4 Sine and Cosine Rules — Any Triangle
T-E4 Check Yourself · Sine and Cosine Rules
🟠 Extended Practice E6.5: Non-right-angled triangles (24 questions)
T-E5 Pythagoras and Trigonometry in 3-D
T-E5 Check Yourself · 3-D Trigonometry
🟠 Extended Practice E6.6: Pythagoras’ theorem and trigonometry in three dimensions (24 questions)
🏁 Trigonometry Strand Test (Extended) — mixed
🟠 Extended 7 · Transformations & Vectors
Extended tier — Papers 2 & 4.
TV-E1 Check Yourself · Transformations Extended
🟠 Extended Practice E7.1: Transformations (24 questions)
TV-E2 Vector Arithmetic and Magnitude
TV-E2 Check Yourself · Vector Arithmetic and Magnitude
🟠 Extended Practice E7.2: Vectors in two dimensions (24 questions)
🟠 Extended Practice E7.3: Magnitude of a vector (24 questions)
TV-E3 Vector Geometry
TV-E3 Check Yourself · Vector Geometry
🟠 Extended Practice E7.4: Vector geometry (24 questions)
🟠 Strand Test · Transformations and Vectors Extended (40 min)
🟠 Extended 8 · Probability
Extended tier — Papers 2 & 4.
🟠 Extended Practice E8.1: Introduction to probability (24 questions)
🟠 Extended Practice E8.2: Relative and expected frequencies (24 questions)
P-E1 Without Replacement — Dependent Events
P-E1 Check Yourself · Without Replacement
🟠 Extended Practice E8.3: Probability of combined events (24 questions)
P-E2 Conditional Probability
P-E2 Check Yourself · Conditional Probability
🟠 Extended Practice E8.4: Conditional probability (24 questions)
P-E3 Venn Diagrams and Set Notation
P-E3 Check Yourself · Venn Diagrams and Sets
🟠 Strand Test · Probability Extended (40 min)
🟠 Extended 9 · Statistics
Extended tier — Papers 2 & 4.
🟠 Extended Practice E9.1: Classifying statistical data (24 questions)
🟠 Extended Practice E9.2: Interpreting statistical data (24 questions)
🟠 Extended Practice E9.3: Averages and measures of spread (24 questions)
🟠 Extended Practice E9.4: Statistical charts and diagrams (24 questions)
S-E0b Scatter Diagrams at Extended Level
🟠 Extended Practice E9.5: Scatter diagrams (24 questions)
S-E1 Cumulative Frequency, Quartiles and IQR
S-E1 Check Yourself · Cumulative Frequency
🟠 Extended Practice E9.6: Cumulative frequency diagrams (24 questions)
S-E2 Histograms and Frequency Density
S-E2 Check Yourself · Histograms
🟠 Extended Practice E9.7: Histograms (24 questions)
🟠 Strand Test · Statistics Extended (40 min)
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