Fractions

• Fractions21 problemsPSLE
• Multiplying and dividing fractions12 problemsPSLE · GCSE Higher
• Comparing fractions10 problems · Grade 3PSLE
• Halves and quarters10 problems · Grade 2PSLE

Ratio, Rates and Proportion

• Ratio and proportion25 problemsO-Level · SAT · GCSE Higher
• Speed16 problemsO-Level · SAT · GCSE Higher
• Rate and work18 problemsPSLE · O-Level · SAT · GCSE Higher
• Ratio12 problemsPSLE · O-Level · SAT · GCSE Higher

Factors, Multiples and Number Theory

• HCF and LCM20 problemsPSLE · O-Level · GCSE Higher
• Number theory10 problems · Grade 8GCSE Higher

Sequences and Series

• Patterns and page numbers11 problemsPSLE · GCSE Higher
• Series and Convergence10 problems · Grade 11–12
• Sequences and Series10 problems · Grade 10GCSE Higher · H2

Whole Numbers and Place Value

• Whole numbers16 problemsPSLE · GCSE Higher
• Thousands, angles and time11 problems · Grade 3PSLE · GCSE Higher
• Place value11 problems · Grade 2PSLE · GCSE Higher
• Counting and comparing14 problems · KindergartenPSLE

Percentages

• Percentages23 problemsPSLE · O-Level · SAT · GCSE Higher

Averages and Spread

• Averages and charts12 problemsPSLE · O-Level · SAT · GCSE Higher
• Measuring Data12 problems · Grade 9O-Level · SAT · GCSE Higher

Logic and Proof

• Logic and counting11 problemsSAT · GCSE Higher
• Mathematical Statements10 problems · Grade 11–12
• Proof Techniques10 problems · Grade 11–12
• Named Inequalities10 problems · Grade 11–12
• Problem Solving10 problems · Grade 11–12

Lines, Angles and Pythagoras

• Angles and lines11 problemsPSLE · O-Level · SAT · GCSE Higher
• Triangles10 problemsPSLE · O-Level · SAT · GCSE Higher
• Paper folding10 problemsGCSE Higher
• Pythagoras and similar shapes10 problems · Grade 8O-Level · SAT · GCSE Higher
• Constructions and Loci11 problems · Grade 8GCSE Higher

Shapes, Area and Perimeter

• Quadrilaterals11 problemsPSLE · O-Level · SAT · GCSE Higher
• Circles11 problemsPSLE · SAT · GCSE Higher
• Composite areas12 problemsPSLE · SAT · GCSE Higher
• Overlapping shapes10 problemsPSLE · SAT · GCSE Higher
• Building with shapes11 problems · Grade 1PSLE
• Shapes and where they sit11 problems · KindergartenPSLE

Polygons, Solids and Surface Area

• Polygons10 problemsPSLE · O-Level · SAT · GCSE Higher
• 3D solids12 problemsPSLE · SAT · GCSE Higher
• Volume and water tanks10 problemsPSLE · SAT · GCSE Higher
• Volume and Surface Area10 problems · Grade 8PSLE · O-Level · SAT · GCSE Higher

Congruence, Circle Theorems and Transformations

• Symmetry and grids11 problemsPSLE · O-Level · GCSE Higher
• Congruence, Similarity and Circle Theorems12 problems · Grade 9O-Level · SAT · GCSE Higher
• Matrices as Transformations10 problems · Grade 10
• Transformations10 problems · Grade 9O-Level · GCSE Higher

Decimals

• Decimals20 problemsPSLE · GCSE Higher

Units, Money and Time

• Measurement15 problemsPSLE · SAT · GCSE Higher
• Time11 problems · Grade 4PSLE
• Money10 problems · Grade 2PSLE

Equivalent Fractions and Mixed Numbers

• Adding and subtracting fractions13 problemsPSLE · GCSE Higher

Order of Operations

• Order of operations10 problems · Grade 5PSLE · GCSE Higher

Statistical Charts and Displays

• Tables and line graphs11 problems · Grade 4PSLE · O-Level · SAT · GCSE Higher
• Bar charts10 problems · Grade 3PSLE · O-Level · SAT
• Pictograms10 problems · Grade 2PSLE · O-Level · GCSE Higher
• Statistical displays11 problems · Grade 8O-Level · SAT · GCSE Higher

Estimation and Rounding

• Rounding10 problems · Grade 4PSLE · GCSE Higher
• Significant figures and estimation10 problems · Grade 7GCSE Higher

Arithmetic Methods

• Multiplying and dividing in your head12 problems · Grade 4PSLE · GCSE Higher
• Adding and subtracting in your head14 problems · Grade 3PSLE
• Written addition and subtraction10 problems · Grade 3PSLE
• Adding and subtracting within 2010 problems · Grade 1PSLE

Times Tables

• Multiplication and division10 problems · Grade 2PSLE

Equations and Inequalities

• Negative numbers and linear equations10 problems · Grade 7PSLE · O-Level · SAT · GCSE Higher
• Equations and inequalities16 problems · Grade 8O-Level · SAT · GCSE Higher

Algebraic Expressions, Powers and Roots

• Powers and roots10 problems · Grade 7O-Level · SAT · GCSE Higher
• Algebraic expressions15 problems · Grade 8O-Level · SAT · GCSE Higher

Quadratics and Polynomials

• Quadratic equations13 problems · Grade 9O-Level · SAT · GCSE Higher
• Polynomials and the Binomial Theorem10 problems · Grade 11–12O-Level

Graphs of Equations and Coordinate Geometry

• Graphs of equations15 problems · Grade 8SAT
• Quadratic graphs and coordinate geometry10 problems · Grade 9O-Level · SAT · GCSE Higher

Functions and Rational Functions

• Functions17 problems · Grade 9O-Level · SAT
• Rational Functions10 problems · Grade 9H2

Scatter Plots, Correlation and Regression

• Scatter Plots and Correlation10 problems · Grade 9SAT · GCSE Higher · H2

Decimals, Percentages and Interest

• Simple and Compound Interest10 problems · Grade 9SAT · GCSE Higher
• Financial Mathematics10 problems · Grade 9

Triangle Trigonometry and Bearings

• Compass Directions and Bearings11 problems · Grade 10O-Level · GCSE Higher
• Triangle Trigonometry17 problems · Grade 10O-Level · GCSE Higher

Probability and Combined Events

• Probability with Several Events12 problems · Grade 10O-Level · H2
• Chance11 problems · Grade 5O-Level · SAT · GCSE Higher

Vectors

• Vectors in the Plane12 problems · Grade 10O-Level · GCSE Higher · H2
• Planes and the Vector Product10 problems · Grade 10H2
• Motion in Two Dimensions10 problems · Grade 11–12

Matrices and Markov Chains

• Matrix Arithmetic10 problems · Grade 10O-Level
• Determinants and Inverses10 problems · Grade 10
• Eigenvalues and Eigenvectors10 problems · Grade 10
• Transition Matrices and Markov Chains10 problems · Grade 10

Limits and Continuity

• Introduction to Calculus10 problems · Grade 11–12
• Limits10 problems · Grade 11–12
• Continuity10 problems · Grade 11–12

Radians and Trigonometric Identities

• Radians and Trigonometric Identities10 problems · Grade 11–12O-Level

Applications of Differentiation

• Solving Equations Numerically10 problems · Grade 11–12
• Using Differentiation11 problems · Grade 11–12O-Level · H2

Sets, Counting and Distributions

• Sets and Counting11 problems · Grade 11–12O-Level · H2
• Probability Distributions10 problems · Grade 11–12H2

Sampling and Inference

• Sampling10 problems · Grade 11–12SAT · H2
• Statistical Inference10 problems · Grade 11–12H2

Scatter, Correlation and Regression

• Correlation and Regression10 problems · Grade 11–12SAT · H2

Complex Numbers

• Complex Arithmetic10 problems · Grade 11–12H2
• The Complex Plane10 problems · Grade 11–12H2

Rules of Differentiation

• Rules of Differentiation10 problems · Grade 11–12O-Level
• Hyperbolic Functions10 problems · Grade 11–12

Techniques of Integration

• Techniques of Integration11 problems · Grade 11–12H2

Applications of Integration and Polar Curves

• Using Integration11 problems · Grade 11–12
• Polar Curves10 problems · Grade 11–12H2
• Coupled Differential Equations10 problems · Grade 11–12

Partial Differentiation

• Functions of Several Variables10 problems · Grade 11–12
• Partial Derivatives10 problems · Grade 11–12

Graph Theory, Networks and Voronoi Diagrams

• Graphs, Degree and Trees10 problems · Grade 11–12
• Adjacency Matrices10 problems · Grade 11–12
• Eulerian and Hamiltonian Routes10 problems · Grade 11–12
• Spanning Trees and Route Problems10 problems · Grade 11–12
• Voronoi Diagrams10 problems · Grade 11–12