Resources
Mathematics practice questions
74 published, listed by title. Question sets by topic, with worked solutions.
All 74, by title
-
Practice Questions
A Level Mathematics: Mechanics Practice Questions (Cambridge 9709 Paper 4)
Original exam-style Mechanics questions with full worked answers on work and power, momentum, kinematics, connected particles, friction, variable acceleration and energy methods, for Cambridge AS & A Level Mathematics 9709 Paper 4.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
A Level Mathematics: Probability & Statistics 1 Practice Questions (Cambridge 9709 Paper 5)
Original exam-style Probability & Statistics 1 questions with full worked answers on probability distributions, conditional probability, the geometric distribution, permutations, the normal distribution and the normal approximation to the binomial, for Cambridge AS & A Level Mathematics 9709 Paper 5.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
A Level Mathematics: Pure Mathematics 1 Mixed Practice (Cambridge 9709 Paper 1)
Original exam-style Pure Mathematics 1 questions with full worked answers: line and curve intersection, binomial coefficients, rates of change, trigonometric graphs, circles, stationary points, progressions and inverse functions, for Cambridge AS & A Level Mathematics 9709.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
A Level Mathematics: Pure Mathematics 2 — Practice Questions
Original exam-style practice questions with full worked solutions on the modulus function, polynomial division and the factor theorem, logarithms and exponentials, extended trigonometry, differentiation, integration and numerical methods, for Cambridge International AS & A Level Mathematics (9709) Pure Mathematics 2.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
A Level Mathematics: Pure Mathematics 3 Algebra and Calculus — Practice Questions (Cambridge 9709)
Original exam-style questions with full worked answers on the modulus function, exponential equations, binomial expansions with negative and fractional powers, partial fractions, parametric differentiation, integration by parts and by substitution, and separable differential equations, for Cambridge International AS & A Level Mathematics (9709).
Mathematics · Cambridge · A LEVELS
-
Practice Questions
A Level Mathematics: Pure Mathematics 3 Trigonometry, Vectors and Complex Numbers — Practice Questions (Cambridge 9709)
Original exam-style questions with full worked answers on the R cos(θ − α) form, double-angle equations, locating roots and fixed-point iteration, vector equations of lines, scalar products and areas, square roots of complex numbers and loci of complex numbers, for Cambridge International AS & A Level Mathematics (9709).
Mathematics · Cambridge · A LEVELS
-
Practice Questions
A Level Mathematics: Quadratics — Practice Questions
Original exam-style practice questions with full worked answers on completing the square, the discriminant and quadratic inequalities for Cambridge AS & A Level Mathematics 9709.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Algebraic Manipulation: Practice Questions
Original exam-style practice questions with full worked answers on expanding, factorising, algebraic fractions and rearranging formulae.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
AQA A Level Mathematics: Overarching Themes — Practice Questions
Original exam-style practice questions with full worked answers on mathematical argument, proof, modelling assumptions and problem solving.
Mathematics · AQA · A LEVELS
-
Practice Questions
AQA A-Level Mathematics: Differentiation — Practice Questions
Original exam-style practice questions with full worked answers on standard derivatives, stationary points, the product/quotient/chain rules, implicit/parametric differentiation and forming differential equations for AQA A-Level Mathematics (7357), Section G.
Mathematics · AQA · A LEVELS
-
Practice Questions
AQA A-Level Mathematics: Quadratics, Simultaneous Equations and Inequalities — Practice Questions
Original exam-style practice questions with full worked answers on the discriminant, completing the square, simultaneous linear-quadratic equations, and linear and quadratic inequalities, for AQA A-Level Mathematics (7357), B3-B5.
Mathematics · AQA · A LEVELS
-
Practice Questions
AQA GCSE Mathematics 8300: Geometry and measures – Practice Questions
Twelve original AQA GCSE Maths 8300 geometry questions: angles, loci, circles, area, volume, trigonometry, similarity and vectors, fully worked.
Mathematics · AQA · GCSE
-
Practice Questions
AQA GCSE Mathematics 8300: Probability – Practice Questions
Eleven original AQA GCSE Maths 8300 Probability questions on relative frequency, Venn and tree diagrams and conditional probability, with marked answers.
Mathematics · AQA · GCSE
-
Practice Questions
AQA GCSE Mathematics 8300: Ratio, proportion and rates of change – Practice Questions
Twelve original AQA GCSE Maths 8300 questions on ratio, percentages, compound units, proportion, rates of change and growth, with fully worked answers.
Mathematics · AQA · GCSE
-
Practice Questions
AQA GCSE Mathematics 8300: Statistics – Practice Questions
Twelve original AQA GCSE Maths 8300 Statistics questions on sampling, averages, pie charts, histograms, box plots and scatter graphs, with marked answers.
Mathematics · AQA · GCSE
-
Practice Questions
AQA GCSE Mathematics: Algebra — Practice Questions
Original exam-style practice questions with full worked answers on notation and manipulation, graphs, solving equations and inequalities, and sequences for AQA GCSE Mathematics (8300), Topic 2 Algebra.
Mathematics · AQA · GCSE
-
Practice Questions
AQA GCSE Mathematics: Number — Practice Questions
Original exam-style practice questions with full worked answers on indices, surds, standard form, bounds and percentages.
Mathematics · AQA · GCSE
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Circular measure – Practice Questions
Twelve original circular measure questions on radians, arcs, sectors, segments and tangents, with mark-by-mark answers, for Cambridge 9709 Paper 1.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Coordinate Geometry (Pure Mathematics 1) – Practice Questions
12 original Cambridge 9709 Paper 1 coordinate geometry questions with mark-by-mark answers on lines, circles, tangents and intersections.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Functions – Practice Questions
12 original Cambridge 9709 Paper 1 questions on functions – ranges, composites, inverses and graph transformations – with mark-by-mark answers.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Integration (Pure Mathematics 1) – Practice Questions
11 original Cambridge 9709 Paper 1 integration questions with mark-by-mark answers: definite and improper integrals, areas and volumes of revolution.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Probability & Statistics 2 – Practice Questions
12 original Cambridge 9709 Paper 6 practice questions with mark-by-mark answers on Poisson, PDFs, confidence intervals and hypothesis tests.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Pure Mathematics 1 Differentiation – Practice Questions
12 original Cambridge 9709 Paper 1 differentiation questions with mark-by-mark answers on the chain rule, normals, connected rates and stationary points.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Pure Mathematics 1 Trigonometry – Practice Questions
Original Cambridge 9709 Paper 1 trigonometry questions (section 1.5) with mark-by-mark worked answers and examiner insights on each question.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Pure Mathematics 2 Algebra – Practice Questions
11 original Cambridge 9709 Paper 2 Algebra questions with mark-by-mark answers on modulus, polynomial division and the factor and remainder theorems.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Pure Mathematics 2 Differentiation – Practice Questions
11 original Cambridge 9709 Paper 2 differentiation questions, from chain rule to implicit curves, with mark-by-mark answers and examiner insights.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Pure Mathematics 2 Integration – Practice Questions
12 original Cambridge 9709 Paper 2 integration questions on exponential, reciprocal and trig integrals and the trapezium rule, with mark-by-mark answers.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Pure Mathematics 2 Logarithms and Exponentials – Practice Questions
12 original Cambridge 9709 Paper 2 questions on logarithms and exponentials, with mark-by-mark worked answers and an examiner insight for each.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Pure Mathematics 2 Numerical Solution of Equations – Practice Questions
10 original Cambridge 9709 Paper 2 questions on sign changes and iteration, with mark-by-mark worked answers and an examiner insight for each.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Pure Mathematics 2 Trigonometry – Practice Questions
12 original Cambridge 9709 Paper 2 trigonometry questions on sec, cosec, cot, compound angles and R-form, with mark-by-mark worked answers.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge International AS & A Level Mathematics 9709: Series – Practice Questions
Original Cambridge 9709 Paper 1 Series questions with marked answers: binomial terms, APs, GPs, sums to infinity and linked progressions.
Mathematics · Cambridge · A LEVELS
-
Practice Questions
Cambridge O Level Mathematics: Graphs of Functions and Sketching Curves — Practice Questions
Original exam-style practice questions with full worked answers on graph sketching and graphical solutions for Cambridge O Level Mathematics.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
Edexcel A Level Mathematics: Pure Mathematics 1 — Practice Questions
Original exam-style practice questions with full worked answers on algebra, quadratics, differentiation, integration and coordinate geometry.
Mathematics · Pearson Edexcel · A LEVELS
-
Practice Questions
Edexcel A Level Mathematics: Pure Mathematics 2 — Practice Questions
Original exam-style practice questions with full worked answers on proof, the factor and remainder theorems, coordinate geometry of the circle, sequences and series, logarithms, and stationary points, for Pearson Edexcel International A Level Mathematics (YMA01), Unit P2.
Mathematics · Pearson Edexcel · A LEVELS
-
Practice Questions
Edexcel IGCSE Mathematics: Numbers and the Number System — Practice Questions
Original exam-style practice questions with full worked answers on fractions, ratio, percentages, standard form and bounds.
Mathematics · Pearson Edexcel · IGCSE
-
Practice Questions
Edexcel International GCSE Mathematics A 4MA1: Geometry and trigonometry – Practice Questions
Twelve original 4MA1 questions on angles, polygons, bearings, measures, circle theorems, sine and cosine rules and 3D trig, with worked answers.
Mathematics · Pearson Edexcel · IGCSE
-
Practice Questions
Edexcel International GCSE Mathematics A 4MA1: Sequences, functions and graphs – Practice Questions
Twelve original 4MA1 questions on sequences, functions, straight lines, curves, transformations and calculus, with mark-by-mark worked answers.
Mathematics · Pearson Edexcel · IGCSE
-
Practice Questions
Functions: Practice Questions
Original exam-style practice questions with full worked answers on function notation, composite and inverse functions, domain and range.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
IB MYP Mathematics: Reasoning with Data – Practice Questions
Original practice questions with full worked answers on choosing statistical measures, representing data, probability, and reasoning about real-world conclusions, tied to the four MYP assessment criteria.
Mathematics · International Baccalaureate · IB
-
Practice Questions
IB MYP Mathematics: The Four Assessment Criteria in Practice – Practice Questions
Original MYP Mathematics practice questions, scenario-based with full worked answers, testing whether sample coursework evidence would meet top-band standard for each of the four assessment criteria.
Mathematics · International Baccalaureate · IB
-
Practice Questions
IGCSE Mathematics: Algebra and Graphs — Practice Questions
Original exam-style practice questions with full worked answers on using letters and substitution, algebraic manipulation, equations, inequalities, sequences, graphs and sketching curves for Cambridge IGCSE Mathematics 0580.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Algebra and Graphs (Extended) — Practice Questions (Cambridge 0580)
Original exam-style questions with full worked answers on algebraic fractions, equations solved with the quadratic formula, inverse and composite functions, inverse proportion and differentiation, for Cambridge IGCSE Mathematics (0580) Extended.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Coordinate Geometry — Practice Questions
Original exam-style practice questions with full worked answers on coordinates, gradient, straight-line equations, length, midpoint, and parallel/perpendicular lines for Cambridge IGCSE Mathematics 0580.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Geometry — Practice Questions
Original exam-style practice questions with full worked answers on geometrical terms, constructions, scale drawings, similarity, symmetry, angles and circle theorems for Cambridge IGCSE Mathematics 0580.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Mensuration — Practice Questions
Original exam-style practice questions with full worked answers on units of measure, area, perimeter, circles, arcs, sectors, surface area, volume and compound shapes for Cambridge IGCSE Mathematics 0580.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Number — Practice Questions
Original exam-style practice questions with full worked answers on sets and Venn diagrams, fractions, decimals and percentages, ordering, powers and roots, ratio, percentages, standard form, bounds, average speed, calculator use, time and money.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Number (Extended) — Practice Questions (Cambridge 0580)
Original exam-style questions with full worked answers on exponential growth and decay, simplifying surds and rationalising denominators, for Cambridge IGCSE Mathematics (0580) Extended.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Probability — Practice Questions
Original exam-style practice questions with full worked answers on basic probability, relative and expected frequency, combined events and conditional probability for Cambridge IGCSE Mathematics 0580.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Statistics — Practice Questions
Original exam-style practice questions with full worked answers on classifying and interpreting data, averages, range, charts, scatter diagrams, cumulative frequency and histograms for Cambridge IGCSE Mathematics 0580.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Statistics and Probability (Extended) — Practice Questions (Cambridge 0580)
Original exam-style questions with full worked answers on conditional probability, frequency density and histograms, and cumulative frequency, for Cambridge IGCSE Mathematics (0580) Extended.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Transformations and Vectors — Practice Questions
Original exam-style practice questions with full worked answers on reflection, rotation, enlargement, translation, vector notation, magnitude and vector geometry for Cambridge IGCSE Mathematics 0580.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Trigonometry — Practice Questions
Original exam-style practice questions with full worked answers on Pythagoras' theorem, right-angled and non-right-angled triangle trigonometry, exact values, trig functions and 3D problems for Cambridge IGCSE Mathematics 0580.
Mathematics · Cambridge · IGCSE
-
Practice Questions
IGCSE Mathematics: Trigonometry (Extended) — Practice Questions (Cambridge 0580)
Original exam-style questions with full worked answers on the cosine and sine rules, trigonometry in three dimensions, trigonometric equations, exact trigonometric values and chord properties of circles, for Cambridge IGCSE Mathematics (0580) Extended.
Mathematics · Cambridge · IGCSE
-
Practice Questions
Indices and Equations: Practice Questions
Original exam-style practice questions with full worked answers on index laws, linear and quadratic equations, simultaneous equations and rearranging formulae.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
Inequalities: Practice Questions
Original exam-style practice questions with full worked answers on solving linear inequalities, constructing inequalities from worded problems, number lines and regions.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
O Level Mathematics: Coordinate Geometry Practice Questions (Cambridge 4024)
Original exam-style questions with full worked answers on gradients, equations of lines, perpendicular and parallel lines, midpoints and lengths, for Cambridge O Level Mathematics 4024.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
O Level Mathematics: Geometry Practice Questions (Cambridge 4024)
Original exam-style questions with full worked answers on polygon angles, isosceles triangles, circle theorems, tangents and similar shapes, for Cambridge O Level Mathematics 4024.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
O Level Mathematics: Mensuration Practice Questions (Cambridge 4024)
Original exam-style questions with full worked answers on area units, arcs and sectors, circles, cylinders, cones and hemispheres, for Cambridge O Level Mathematics 4024.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
O Level Mathematics: Number Practice Questions (Cambridge 4024)
Original exam-style questions with full worked answers on negative numbers, prime factors, HCF and LCM, percentages, ratio, estimation, surds, recurring decimals, interest, bounds and standard form, for Cambridge O Level Mathematics 4024.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
O Level Mathematics: Probability Practice Questions (Cambridge 4024)
Original exam-style questions with full worked answers on single events, relative frequency, selections without replacement, Venn diagrams and expected frequency, for Cambridge O Level Mathematics 4024.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
O Level Mathematics: Trigonometry Practice Questions (Cambridge 4024)
Original exam-style questions with full worked answers on Pythagoras, right-angled trigonometry, the sine and cosine rules, the area of a triangle and bearings, for Cambridge O Level Mathematics 4024.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
OCR A Level Mathematics: Pure Mathematics — Practice Questions
Original exam-style practice questions with full worked answers on logarithms, sequences, differentiation, integration and proof.
Mathematics · OCR · A LEVELS
-
Practice Questions
OCR A Level Mathematics: Statistics — Practice Questions
Original exam-style practice questions with full worked answers on sampling, probability, the binomial and normal distributions, and hypothesis testing, for OCR A Level Mathematics A (H240).
Mathematics · OCR · A LEVELS
-
Practice Questions
OCR GCSE Mathematics: Fractions, Decimals and Percentages — Practice Questions
Original exam-style practice questions with full worked answers on fraction arithmetic, percentage change, reverse percentages, compound growth and ordering, for OCR GCSE (9-1) Mathematics (J560).
Mathematics · OCR · GCSE
-
Practice Questions
OCR GCSE Mathematics: Number Operations and Integers — Practice Questions
Original exam-style practice questions with full worked answers on integers, order of operations, primes, fractions and estimation.
Mathematics · OCR · GCSE
-
Practice Questions
OxfordAQA A Level Mathematics: Bernoulli and Binomial Distributions — Practice Questions
Original exam-style practice questions with full worked answers on Bernoulli trials, the conditions for a binomial distribution, calculating binomial probabilities, and the mean and variance of binomial and Bernoulli distributions.
Mathematics · OxfordAQA · A LEVELS
-
Practice Questions
OxfordAQA A Level Mathematics: Pure Maths 1 — Practice Questions
Original exam-style practice questions with full worked answers on indices, surds, quadratics, binomial expansion, simultaneous equations, differentiation and integration for OxfordAQA 9660 Unit P1, plus two trigonometry questions marked as Unit PSM1 content.
Mathematics · OxfordAQA · A LEVELS
-
Practice Questions
OxfordAQA IGCSE Mathematics: Algebra – Notation and Manipulation — Practice Questions (9260)
Original exam-style practice questions with full worked answers on generalised expressions, formulae, expanding, factorising, index laws and algebraic fractions for OxfordAQA International GCSE Mathematics (9260).
Mathematics · OxfordAQA · IGCSE
-
Practice Questions
Pearson Edexcel IGCSE Mathematics: Use of Symbols and Algebraic Manipulation — Practice Questions (4MA1)
Original exam-style practice questions with full worked answers on index notation, expanding, factorising, algebraic fractions and completing the square, for Pearson Edexcel International GCSE Mathematics Higher Tier (4MA1).
Mathematics · Pearson Edexcel · IGCSE
-
Practice Questions
Pearson Edexcel International GCSE Mathematics A 4MA1: Statistics and probability – Practice Questions
Twelve original Edexcel IGCSE Maths 4MA1 statistics and probability questions, Foundation and Higher, with fully worked mark-by-mark answers.
Mathematics · Pearson Edexcel · IGCSE
-
Practice Questions
Pearson Edexcel International GCSE Mathematics A 4MA1: Vectors and transformation geometry – Practice Questions
Eleven original Edexcel IGCSE Maths 4MA1 questions on vectors and transformations, Foundation and Higher, with mark-by-mark worked answers.
Mathematics · Pearson Edexcel · IGCSE
-
Practice Questions
Sequences and Proportion: Practice Questions
Original exam-style practice questions with full worked answers on arithmetic and geometric sequences, nth terms, direct and inverse proportion.
Mathematics · Cambridge · O LEVELS
-
Practice Questions
Topic 1 Number (9260): Practice Questions
Original exam-style practice questions with full worked answers on Topic 1 Number for OxfordAQA International GCSE Mathematics (9260).
Mathematics · OxfordAQA · IGCSE
-
Practice Questions
Travel Graphs: Practice Questions
Original exam-style practice questions with full worked answers on distance-time and velocity-time graphs, gradients and areas.
Mathematics · Cambridge · O LEVELS
All practice questions by subject · Mathematics subject page