Master GCSE Higher Tier Maths with this complete printable PDF topic checklist. Tracks progress across 7 major syllabus sections. Perfect for revision!

Key Features

100% Complete Syllabus: Covers every single topic required for Higher Tier
success.

7 Major Sections: Logically categorized for seamless, step-by-step revision.

Printable PDF Format: Designed with a clean, high-resolution layout for worksheets or wall charts.

Built-in Progress Tracker: Features simple checkbox columns (Revised, Practised, Mastered) to boost student accountability.

Syllabus Breakdown (7 Major Sections) 1. Number

• Fractions, decimals, recurring decimals, and percentages.
• Indices, standard form, and surds.
• Prime factorisation, LCM, HCF, and upper/lower bounds.

2. Algebra

• Expanding brackets, factorising quadratics, and simplifying expressions.
• Solving linear, quadratic, and simultaneous equations.
• Algebraic fractions, rearrangement, and functions (f(x) and fg(x)).
• Sequences (nth term, quadratic, and geometric).

3. Graphs

• Linear, quadratic, cubic, and reciprocal graphs.
• Transformation of functions ($y = f(x \pm a)$, y = af(x)).
• Real-world graphs, travel graphs, and gradients/areas under curves.
• Equation of a circle and tangents to a circle.

4. Ratio, Proportion and Rates of Change

• Direct and inverse proportion (algebraic and graphical formulas).
• Compound units (speed, density, pressure, and rates of pay).
• Percentage change, simple interest, and compound interest.

5. Geometry and Measures

• Trigonometry (SOHCAHTOA, Sine Rule, Cosine Rule, and 3D Pythagoras).
• Vectors (geometric proof and scalar multiplication).
• Circle theorems and advanced circle geometry.
• Volume and surface area of complex 3D shapes (cones, spheres, pyramids).

6. Probability

• Venn diagrams, set notation, and tree diagrams (conditional probability).
• Product rule for counting.
• Theoretical vs. relative frequency.

7. Statistics

• Cumulative frequency tables and graphs.
• Box plots, histograms (frequency density), and scatter graphs.
• Comparing distributions using mean, median, mode, and interquartile range (IQR).

How to Use in the Classroom

• For Teachers: Distribute at the start of the academic year as a course overview or use it during the final term to structure structured mock exam preparation.

• For Students: Pin to a bedroom wall or slip into a revision folder to track independent study targets weekly.