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Maths booklets with worked solutions.

250 topic booklets, from core algebra to university maths, with over 11,000 questions. Answers and worked solutions are included. Free, with no sign-up.

  • 250booklets
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These booklets are from MadAsMaths. Visit madasmaths.com

Practise individual questions with answers and worked solutions in the question bank. Filter by topic and difficulty, or combine them with past-paper questions.

A‑Level Maths:AQAEdexcelOCROCR MEIWJECCambridgeEdexcel International

A‑Level Further Maths:AQAEdexcelOCROCR MEIWJECCambridgeEdexcel International

Want whole papers to sit? 334 IYGB practice papers, with available worked solutions.

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Elementary maths 4 booklets

  • Basic skills★–★★★★★54 questions · 92 pp · 2.5 MBOpenQuestions
  • Equations: basic techniques12 questions · 40 pp · 5.6 MBOpen
  • Practical arithmetic and problem solving★★–★★★★★28 questions · 19 pp · 2.8 MBOpen
  • Quadratics10 questions · 9 pp · 364 KBOpen

Year 12 pure maths 39 booklets

  • Algebraic fractions16 questions · 47 pp · 4.8 MBOpen
  • Algebraic fractionsExam questions★★–★★★★★34 questions · 21 pp · 3.9 MBOpen
  • Arithmetic seriesExam questions★★–★★★★★128 questions · 91 pp · 16 MBOpen
  • Binomial expansionsExam questions★★–★★★★★76 questions · 57 pp · 9.6 MBOpen
  • Binomial expansionsPractice9 questions · 9 pp · 892 KBOpen
  • Circle coordinate geometryExam questions★★–★★★★★113 questions · 109 pp · 23 MBOpen
  • Cubic sketching19 questions · 14 pp · 1.7 MBOpen
  • CubicsExam questions★★–★★★★★31 questions · 32 pp · 4.5 MBOpen
  • Equations IExam questions★★–★★★★★81 questions · 56 pp · 9.0 MBOpen
  • Geometric series★★–★★★★★113 questions · 91 pp · 16 MBOpen
  • Geometric series, worded questions★★–★★★★★19 questions · 20 pp · 3.0 MBOpen
  • Identities★★–★★★★26 questions · 14 pp · 218 KBOpen
  • IndicesExam questions★★–★★★★★61 questions · 46 pp · 5.1 MBOpen
  • IndicesPractice13 questions · 38 pp · 1.9 MBOpenQuestions
  • InequalitiesExam questions★★–★★★★★27 questions · 25 pp · 3.6 MBOpen
  • Inequalities, the basicsPractice13 questions · 19 pp · 1.9 MBOpen
  • Line coordinate geometryExam questions★★–★★★★★44 questions · 119 pp · 22 MBOpen
  • Line coordinate geometryPractice16 questions · 27 pp · 2.2 MBOpen
  • LogarithmsExam questions★★–★★★★★120 questions · 83 pp · 15 MBOpen
  • LogarithmsPractice8 questions · 22 pp · 3.0 MBOpen
  • Mensuration★★–★★★★★127 questions · 128 pp · 17 MBOpen
  • Mensuration in three dimensions★★–★★★★7 questions · 8 pp · 732 KBOpen
  • Polynomials, an introductionExam questions★★–★★★★★67 questions · 55 pp · 8.3 MBOpen
  • Polynomials, an introductionPractice15 questions · 17 pp · 1.8 MBOpen
  • Quadratic sketching18 questions · 19 pp · 1.6 MBOpen
  • QuadraticsExam questions★★–★★★★★101 questions · 86 pp · 12 MBOpen
  • Reciprocal functions★★–★★★★24 questions · 26 pp · 3.9 MBOpen
  • Recurrence relations★★–★★★★★73 questions · 66 pp · 8.6 MBOpen
  • Series, mixedExam questions★★★–★★★★★33 questions · 33 pp · 4.7 MBOpen
  • Surds34 questions · 36 pp · 3.1 MBOpenQuestions
  • SurdsExam questions★★–★★★★★97 questions · 68 pp · 11 MBOpen
  • The discriminantExam questions★★–★★★★★30 questions · 49 pp · 7.3 MBOpen
  • The discriminantPractice★★–★★★★26 questions · 34 pp · 5.3 MBOpen
  • Vector algebra, an introduction★★–★★★★★125 questions · 47 pp · 10 MBOpen
  • Areas by integration, an introduction★★–★★★★★63 questions · 64 pp · 11 MBOpen
  • Calculus, an introductionExam questions★★–★★★★★305 questions · 277 pp · 48 MBOpen
  • Differentiation IPractice35 questions · 71 pp · 8.7 MBOpen
  • Integration, an introduction35 questions · 36 pp · 4.7 MBOpen
  • Optimisation problems★★★–★★★★★44 questions · 49 pp · 10 MBOpen

Year 13 pure maths 51 booklets

  • Binomial series expansionsExam questions★★–★★★★★92 questions · 87 pp · 14 MBOpen
  • Binomial series expansionsPractice17 questions · 18 pp · 1.7 MBOpen
  • Curve sketchingExam questions★★–★★★★★17 questions · 17 pp · 1.7 MBOpen
  • Differentiation IIExam questions★★–★★★★★280 questions · 232 pp · 45 MBOpen
  • Differentiation IIPractice★★–★★★★★21 questions · 85 pp · 334 KBOpenQuestions
  • Differentiation II, moreExam questions★★–★★★★★15 questions · 14 pp · 2.6 MBOpen
  • Equations advanced skills★★–★★★★★101 questions · 75 pp · 16 MBOpen
  • Exponentials and logarithmsExam questions★★–★★★★★128 questions · 107 pp · 17 MBOpen
  • Exponentials and logarithmsPractice15 questions · 16 pp · 2.0 MBOpen
  • FunctionsExam questions★★–★★★★★163 questions · 166 pp · 26 MBOpen
  • FunctionsPractice23 questions · 47 pp · 5.6 MBOpen
  • Implicit differentiation10 questions · 20 pp · 2.0 MBOpen
  • Implicit equationsExam questions★★–★★★★★84 questions · 76 pp · 14 MBOpen
  • Inequalities★★–★★★★★16 questions · 29 pp · 5.3 MBOpen
  • Modulus functionExam questions★★–★★★★★100 questions · 95 pp · 13 MBOpen
  • Modulus functionPractice9 questions · 18 pp · 2.1 MBOpen
  • Numerical solutions of equations★★–★★★★★35 questions · 63 pp · 9.9 MBOpen
  • Parametric equations8 questions · 29 pp · 4.4 MBOpen
  • Parametric equationsExam questions★★–★★★★★162 questions · 159 pp · 28 MBOpen
  • Polynomials★★–★★★★★29 questions · 28 pp · 4.5 MBOpen
  • Transformations of graphsExam questions★★–★★★★★94 questions · 94 pp · 14 MBOpen
  • Transformations of graphsPractice6 questions · 7 pp · 48 KBOpenQuestions
  • Compound angle identities28 questions · 18 pp · 3.8 MBOpen
  • Double angle identities20 questions · 21 pp · 3.2 MBOpen
  • Inverse trigonometric functions★★–★★★★★37 questions · 85 pp · 17 MBOpen
  • Pythagorean identities14 questions · 14 pp · 2.8 MBOpen
  • Sec, cosec and cot17 questions · 16 pp · 3.4 MBOpen
  • Trigonometric equations30 questions · 32 pp · 6.6 MBOpen
  • Trigonometric equations, an introduction39 questions · 40 pp · 7.3 MBOpen
  • Trigonometric equations, introductory exam questions★★–★★★★★74 questions · 49 pp · 7.9 MBOpen
  • Trigonometric general solutions★★–★★★33 questions · 18 pp · 834 KBOpen
  • Trigonometric graphs★★–★★★★37 questions · 36 pp · 4.4 MBOpen
  • Trigonometric identities★★–★★★★★125 questions · 35 pp · 5.4 MBOpen
  • TrigonometryExam questions★★–★★★★★659 questions · 361 pp · 67 MBOpen
  • Trigonometry: R transformations17 questions · 16 pp · 2.3 MBOpen
  • Areas by integration★★–★★★★★35 questions · 39 pp · 6.6 MBOpen
  • Differential equations in context★★–★★★★★48 questions · 107 pp · 24 MBOpen
  • Indefinite integration mix378 questions · 115 pp · 34 MBOpenQuestions
  • Integration by a special manipulation1 question · 3 pp · 209 KBOpenQuestions
  • Integration by partial fractions5 questions · 11 pp · 2.8 MBOpenQuestions
  • Integration by parts9 questions · 16 pp · 1.8 MBOpenQuestions
  • Integration by reverse chain rule9 questions · 15 pp · 805 KBOpenQuestions
  • Integration by substitution12 questions · 26 pp · 4.7 MBOpenQuestions
  • Integration by trigonometric identities9 questions · 17 pp · 2.0 MBOpenQuestions
  • Integration, structured questions I★★–★★★★★332 questions · 268 pp · 50 MBOpen
  • Integration: the basics20 questions · 21 pp · 92 KBOpenQuestions
  • Numerical integration★★–★★★★★22 questions · 54 pp · 7.7 MBOpen
  • Parametric integrationExam questions★★–★★★★★30 questions · 92 pp · 15 MBOpen
  • Separable differential equations★★–★★★★★89 questions · 82 pp · 16 MBOpen
  • Volumes of revolution★★–★★★★★76 questions · 78 pp · 11 MBOpen

Further Maths 43 booklets

  • Combinatorics★★–★★★★★12 questions · 33 pp · 6.2 MBOpen
  • Complex numbers 133 questions · 49 pp · 6.5 MBOpen
  • Complex numbers 1Exam questions★★–★★★★★83 questions · 68 pp · 12 MBOpen
  • Complex numbers 230 questions · 76 pp · 10 MBOpen
  • Complex numbers 2Exam questions★★–★★★★★186 questions · 170 pp · 29 MBOpen
  • Conic sections★★–★★★★★38 questions · 119 pp · 26 MBOpen
  • Curve sketching★★–★★★★★104 questions · 100 pp · 16 MBOpen
  • Differentiation from first principles★★–★★★★★29 questions · 31 pp · 4.2 MBOpen
  • Differentiation IIIPractice★★★–★★★★★4 questions · 11 pp · 53 KBOpen
  • Hyperbolic functions★★–★★★★★88 questions · 76 pp · 14 MBOpen
  • Linearisation of graphs★★–★★★★★21 questions · 22 pp · 4.2 MBOpen
  • Mensuration, advanced★★–★★★★★9 questions · 10 pp · 1.3 MBOpen
  • Number theory★★–★★★★★33 questions · 29 pp · 7.5 MBOpen
  • Polar coordinatesExam questions★★–★★★★★26 questions · 59 pp · 12 MBOpen
  • Polar coordinatesPractice14 questions · 22 pp · 2.4 MBOpen
  • Proof★★–★★★★★45 questions · 32 pp · 7.3 MBOpen
  • Proof by induction★★–★★★★★36 questions · 82 pp · 16 MBOpen
  • Rational functions★★★–★★★★5 questions · 6 pp · 964 KBOpen
  • Roots of polynomial equations★★–★★★★★40 questions · 59 pp · 7.9 MBOpen
  • Series and integrals★★★–★★★★★8 questions · 9 pp · 1.3 MBOpen
  • Series expansions★★–★★★★★20 questions · 63 pp · 10 MBOpen
  • Series summationPractice★★–★★★★★17 questions · 84 pp · 13 MBOpen
  • Consistency of equations★★★–★★★★21 questions · 22 pp · 2.8 MBOpen
  • MatricesPractice23 questions · 87 pp · 11 MBOpen
  • Matrices AExam questions★★–★★★★★51 questions · 47 pp · 6.7 MBOpen
  • Matrices BExam questions★★–★★★★★135 questions · 125 pp · 19 MBOpen
  • Vectors AExam questions★★–★★★★★166 questions · 164 pp · 30 MBOpen
  • Vectors APractice★★–★★★★★33 questions · 76 pp · 14 MBOpen
  • Vectors BExam questions★★–★★★★★68 questions · 66 pp · 14 MBOpen
  • Vectors BPractice23 questions · 38 pp · 5.2 MBOpen
  • Arc length and surfaces of revolution★★–★★★★★17 questions · 37 pp · 7.4 MBOpen
  • Definite integration megamix104 questions · 47 pp · 8.2 MBOpenQuestions
  • First order differential equationsExam questions★★–★★★★★29 questions · 27 pp · 4.8 MBOpen
  • First order differential equationsPractice6 questions · 7 pp · 489 KBOpen
  • First order differential equations by substitution★★–★★★★★45 questions · 41 pp · 7.4 MBOpen
  • Improper integrals★★★–★★★★★12 questions · 13 pp · 3.1 MBOpen
  • Indefinite integration megamix759 questions · 251 pp · 78 MBOpenQuestions
  • Integration, structured questions II★★–★★★★★136 questions · 114 pp · 24 MBOpen
  • Numerical methods for differential equations★★–★★★★14 questions · 26 pp · 6.8 MBOpen
  • Reduction formulas★★–★★★★★36 questions · 37 pp · 7.0 MBOpen
  • Second order differential equationsExam questions★★–★★★★16 questions · 29 pp · 5.5 MBOpen
  • Second order differential equationsPractice12 questions · 16 pp · 1.4 MBOpen
  • Second order differential equations by substitution★★★–★★★★★23 questions · 24 pp · 5.9 MBOpen

Mechanics 40 booklets

  • Centre of massM2★★–★★★★★33 questions · 36 pp · 5.0 MBOpen
  • Centre of massM3★★–★★★★★18 questions · 32 pp · 4.8 MBOpen
  • Circular motionM2 · M3★★–★★★★★45 questions · 58 pp · 8.1 MBOpen
  • CollisionsM1★★–★★★★★22 questions · 23 pp · 5.2 MBOpen
  • CollisionsM2★★–★★★★30 questions · 30 pp · 4.2 MBOpen
  • Connected particlesM1★★–★★★★★30 questions · 33 pp · 5.9 MBOpen
  • DynamicsM1★★–★★★★★25 questions · 28 pp · 3.7 MBOpen
  • Elastic strings and springsM2 · M3★★–★★★★★33 questions · 34 pp · 4.7 MBOpen
  • EquilibriumM1★★–★★★★★39 questions · 50 pp · 6.0 MBOpen
  • Equilibrium and potential energyM4 · M6★★–★★★★20 questions · 21 pp · 5.0 MBOpen
  • Equilibrium of rigid bodiesM2★★–★★★★★46 questions · 47 pp · 6.5 MBOpen
  • Frameworks and multi-body structuresM2 · M4★★★–★★★★15 questions · 21 pp · 3.4 MBOpen
  • Gravitation problemsM3★★–★★★★★12 questions · 14 pp · 1.6 MBOpen
  • ImpulseM2 · M3★★–★★★★20 questions · 19 pp · 2.3 MBOpen
  • Intrinsic coordinatesM6★★–★★★★★19 questions · 22 pp · 4.7 MBOpen
  • Kinematic graphsM1★★–★★★★★31 questions · 38 pp · 6.5 MBOpen
  • KinematicsM1★★–★★★★30 questions · 55 pp · 8.0 MBOpen
  • Kinematics and dynamics with differential equations IM3 · M4★★–★★★★27 questions · 28 pp · 2.9 MBOpen
  • Kinematics and dynamics with differential equations IIM4 · M6★★–★★★★★20 questions · 21 pp · 3.8 MBOpen
  • Kinematics using calculusM1 · M2★★–★★★★★21 questions · 31 pp · 6.1 MBOpen
  • MomentsM1 · M2★★–★★★★★19 questions · 20 pp · 3.3 MBOpen
  • Moments in vector formM4 · M6★★–★★★12 questions · 13 pp · 2.3 MBOpen
  • Moments of inertiaM4 · M5★★–★★★★★23 questions · 36 pp · 5.6 MBOpen
  • Motion on axisymmetric surfacesM6★★★2 questions · 4 pp · 474 KBOpen
  • Oblique collisionsM3 · M4★★–★★★★★46 questions · 48 pp · 8.7 MBOpen
  • Pendulum motionM3 · M6★★–★★★6 questions · 9 pp · 735 KBOpen
  • Polar coordinates and central forcesM4 · M6★★–★★★★★31 questions · 32 pp · 6.4 MBOpen
  • PowerM2★★–★★★★24 questions · 22 pp · 2.5 MBOpen
  • ProjectilesM1 · M2★★–★★★★★53 questions · 55 pp · 11 MBOpen
  • Projectiles, advancedM3 · M6★★★–★★★★★26 questions · 47 pp · 11 MBOpen
  • Relative motionM3 · M4★★–★★★★★43 questions · 42 pp · 7.4 MBOpen
  • ResultantsM1★★–★★★★10 questions · 11 pp · 1.4 MBOpen
  • Rotational and translational motionM4 · M6★★–★★★★★32 questions · 33 pp · 6.4 MBOpen
  • Rotational motionM4 · M6★★–★★★★★64 questions · 64 pp · 12 MBOpen
  • Simple harmonic motionM3 · M5★★–★★★★28 questions · 44 pp · 6.7 MBOpen
  • Variable mass problemsM4 · M6★★–★★★★★25 questions · 26 pp · 7.1 MBOpen
  • Vector differential equationsM4 · M6★★–★★★3 questions · 8 pp · 694 KBOpen
  • Vectors in mechanicsM1★★–★★★★23 questions · 53 pp · 6.8 MBOpen
  • Work and energyM2★★–★★★★★26 questions · 28 pp · 3.4 MBOpen
  • Work in vector formM4 · M6★★–★★★★★8 questions · 9 pp · 1.6 MBOpen

Statistics 22 booklets

  • Binomial distribution★★–★★★★★28 questions · 48 pp · 8.4 MBOpen
  • Combinations and permutations★★–★★★★★30 questions · 28 pp · 4.0 MBOpen
  • Contingency tables★★–★★★14 questions · 15 pp · 3.4 MBOpen
  • Correlation and regression★★–★★★★89 questions · 50 pp · 10 MBOpen
  • Data analysis17 questions · 44 pp · 11 MBOpen
  • Data analysisExam questions★★–★★★★34 questions · 36 pp · 8.9 MBOpen
  • Discrete random variables★★–★★★★★41 questions · 42 pp · 7.7 MBOpen
  • Distributional approximations★★–★★★★★110 questions · 28 pp · 4.5 MBOpen
  • Geometric distribution★★–★★★★★10 questions · 18 pp · 1.9 MBOpen
  • Goodness of fit★★–★★★★15 questions · 25 pp · 3.2 MBOpen
  • Hypothesis testing with the normal distribution★★–★★★★★27 questions · 71 pp · 11 MBOpen
  • Hypothesis testing, an introduction★★–★★★★16 questions · 61 pp · 8.5 MBOpen
  • Normal distribution calculations★★–★★★★38 questions · 57 pp · 13 MBOpen
  • Normal variables★★–★★★★23 questions · 23 pp · 3.9 MBOpen
  • Poisson distribution★★–★★★★★22 questions · 30 pp · 5.0 MBOpen
  • Probability★★–★★★★★67 questions · 127 pp · 19 MBOpen
  • Probability density functions★★★–★★★★★12 questions · 41 pp · 9.6 MBOpen
  • Probability sampling distributions★★★–★★★★6 questions · 5 pp · 747 KBOpen
  • Rectangular distribution★★★–★★★★★19 questions · 18 pp · 2.2 MBOpen
  • Sampling proportions6 questions · 11 pp · 1.1 MBOpen
  • The t-distribution★★–★★★8 questions · 28 pp · 5.4 MBOpen

University maths 51 booklets

  • Bessel functions25 questions · 31 pp · 7.3 MBOpen
  • Complex variables15 questions · 23 pp · 4.2 MBOpen
  • Diagonalisation of conics and quadrics9 questions · 16 pp · 3.8 MBOpen
  • Difference equations★★–★★★★19 questions · 20 pp · 4.0 MBOpen
  • Differentiation under the integral sign46 questions · 68 pp · 13 MBOpen
  • Fourier series28 questions · 48 pp · 11 MBOpen
  • Fourier transforms28 questions · 62 pp · 14 MBOpen
  • Further applications of integration53 questions · 56 pp · 10 MBOpen
  • Gamma and beta functions56 questions · 66 pp · 13 MBOpen
  • Index summation notation17 questions · 16 pp · 2.8 MBOpen
  • Integral equations3 questions · 4 pp · 607 KBOpen
  • Intrinsic coordinates★★–★★★★★45 questions · 40 pp · 6.9 MBOpen
  • Jacobians and curvilinear coordinates38 questions · 39 pp · 6.9 MBOpen
  • Laplace transforms: an introduction15 questions · 63 pp · 8.9 MBOpen
  • Laplace transforms: applications20 questions · 56 pp · 11 MBOpen
  • Laplace transforms: further45 questions · 61 pp · 11 MBOpen
  • Legendre functions and polynomials21 questions · 26 pp · 4.9 MBOpen
  • Leibniz's rule for differentiation★★★5 questions · 7 pp · 1.1 MBOpen
  • Limits★★–★★★★★50 questions · 59 pp · 9.9 MBOpen
  • Line integrals18 questions · 57 pp · 10 MBOpen
  • Multivariable integration in Cartesian coordinates61 questions · 48 pp · 8.0 MBOpen
  • Multivariable integration in polar coordinates30 questions · 54 pp · 7.3 MBOpen
  • Multivariable integration in spherical polar coordinates28 questions · 29 pp · 4.9 MBOpen
  • ODEs by variation of parameters★★★–★★★★14 questions · 13 pp · 2.6 MBOpen
  • ODEs, systematic methods I★★–★★★★★35 questions · 112 pp · 20 MBOpen
  • ODEs, systematic methods II★★–★★★★★19 questions · 76 pp · 18 MBOpen
  • ODEs, various methods★★–★★★★★122 questions · 113 pp · 19 MBOpen
  • ODEs: series solutions9 questions · 44 pp · 14 MBOpen
  • Parameterisation27 questions · 28 pp · 5.0 MBOpen
  • Partial differentiation: an introduction★★–★★★★★47 questions · 45 pp · 9.1 MBOpen
  • Partial differentiation: applications★★–★★★★12 questions · 37 pp · 5.5 MBOpen
  • PDEs by integral transforms19 questions · 24 pp · 7.2 MBOpen
  • PDEs: an introduction19 questions · 65 pp · 11 MBOpen
  • PDEs: applications1 question · 2 pp · 222 KBOpen
  • PDEs: Laplace's equation16 questions · 37 pp · 15 MBOpen
  • PDEs: the heat equation13 questions · 25 pp · 8.3 MBOpen
  • Product operator26 questions · 27 pp · 4.3 MBOpen
  • Residues: applications in integration15 questions · 65 pp · 18 MBOpen
  • Residues: applications in series summation13 questions · 15 pp · 6.4 MBOpen
  • Row reduction of matrices11 questions · 33 pp · 5.1 MBOpen
  • SeriesExam questions★★–★★★★★159 questions · 134 pp · 23 MBOpen
  • Sketching in three dimensions16 questions · 14 pp · 2.8 MBOpen
  • Special functions and general transforms8 questions · 14 pp · 1.6 MBOpen
  • Surface integrals32 questions · 33 pp · 7.0 MBOpen
  • The big integral theorems19 questions · 52 pp · 13 MBOpen
  • The D operator12 questions · 20 pp · 3.4 MBOpen
  • The Heaviside function13 questions · 14 pp · 1.8 MBOpen
  • The impulse function11 questions · 10 pp · 971 KBOpen
  • Vector integrals26 questions · 53 pp · 9.5 MBOpen
  • Vector operators23 questions · 55 pp · 9.4 MBOpen
  • Volume by slicing6 questions · 7 pp · 916 KBOpen