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AlanaMaths

GCSE Higher Tier Practice Generator

Calculator

Difficulty

Topics

▶Number

Structure & Calculation

Fractions, Decimals & Percentages

Measures & Accuracy

Indices (including fractional & negative)

Surds

Standard Form

Bounds & Error Intervals

HCF / LCM / Prime Factorisation

▶Algebra

Simplifying & Manipulating Expressions

▶Quadratics

Factorising

Completing the Square

Quadratic Formula

Discriminant

Simultaneous Equations

Inequalities (including graphical)

Sequences (nth term, quadratic)

Functions (composite, inverse)

Algebraic Fractions

▶Graphs

Straight Line (y = mx + c)

Quadratic Graphs

Cubic, Reciprocal, Exponential

Gradients & Areas Under Graphs

Equation of Circle & Tangent

Iteration

Algebraic Proof

▶Ratio, Proportion & Rates of Change

Ratio Notation & Simplifying

Direct & Inverse Proportion

Percentage Change, Reverse, Compound

Growth & Decay

Speed, Density, Pressure

Unit Conversions

▶Geometry & Measures

Angles (parallel lines, polygons)

Circle Theorems

▶Trigonometry

Right-Angled (SOH CAH TOA)

Sine & Cosine Rules

Area = ½absinC

Exact Trig Values

3D Trigonometry

Pythagoras (2D & 3D)

Transformations

Congruence & Similarity

Area, Volume, Surface Area

Sectors & Arcs

Vectors

Constructions & Loci

Bearings

▶Probability

Basic Probability

Tree Diagrams

Venn Diagrams & Set Notation

Conditional Probability

Frequency Trees

▶Statistics

Averages & Spread

Histograms (unequal class widths)

Cumulative Frequency & Box Plots

Sampling

Interpreting Data & Scatter Graphs

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