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AQA A-level Maths questions by topic
Original topic questions for AQA A-level Maths (7357), set out under the sections of AQA's Mathematics specification from Proof to Use of data in statistics, in the order it prints them, then the overarching themes, which run through every topic. Every question has a worked solution, and every set comes as a printable PDF.
Other specifications: Edexcel A-level Maths · Edexcel A-level Further Maths · AQA A-level Further Maths · OCR A-level Maths A · OCR A-level Further Maths A · OCR MEI A-level Maths · every topic, by unit
A Proof30 questions2 topics
- The structure of proof: deduction and exhaustion15 questions · 54 marks · A1 · PDF, 74 KB
- Disproof and proof by contradiction15 questions · 51 marks · A1 · PDF, 51 KB
B Algebra and functions121 questions8 topics
- Indices and surds15 questions · 52 marks · B1, B2 · PDF, 50 KB
- Quadratic functions15 questions · 56 marks · B3 · PDF, 54 KB
- Simultaneous equations and inequalities15 questions · 60 marks · B4, B5, B7 · PDF, 53 KB
- Polynomials and the factor theorem15 questions · 56 marks · B6 · PDF, 54 KB
- Graphs, proportion and transformations16 questions · 64 marks · B7, B9 · PDF, 63 KB
- Functions, inverses and the modulus15 questions · 52 marks · B7, B8 · PDF, 52 KB
- Partial fractions15 questions · 60 marks · B10 · PDF, 52 KB
- Functions in modelling15 questions · 55 marks · B11 · PDF, 57 KB
C Coordinate geometry in the (x, y) plane60 questions4 topics
- Straight lines15 questions · 56 marks · C1 · PDF, 54 KB
- Circles15 questions · 56 marks · C2 · PDF, 54 KB
- Parametric equations15 questions · 56 marks · C3, C4 · PDF, 76 KB
- Implicit and parametric differentiation15 questions · 62 marks · C4 · PDF, 56 KB
C Coordinate geometry in the (x, y) plane on the specification map
D Sequences and series90 questions6 topics
- Partial fractions15 questions · 60 marks · D1 · PDF, 52 KB
- The binomial expansion15 questions · 55 marks · D1 · PDF, 54 KB
- The general binomial expansion15 questions · 70 marks · D1 · PDF, 56 KB
- Sequences and sigma notation15 questions · 57 marks · D2, D3 · PDF, 74 KB
- Arithmetic series15 questions · 57 marks · D4, D6 · PDF, 75 KB
- Geometric series15 questions · 59 marks · D5, D6 · PDF, 55 KB
E Trigonometry167 questions11 topics
- Triangles and the sine and cosine rules15 questions · 57 marks · E1 · PDF, 55 KB
- Trigonometric graphs and equations16 questions · 63 marks · E1, E3, E5, E7 · PDF, 80 KB
- Radians, arcs and small angles15 questions · 51 marks · E1, E2, E3 · PDF, 75 KB
- Reciprocal and inverse trigonometric functions15 questions · 56 marks · E4, E5, E8 · PDF, 75 KB
- Compound angles and the harmonic form15 questions · 62 marks · E6, E8 · PDF, 75 KB
- Trigonometric modelling15 questions · 57 marks · E9 · PDF, 56 KB
- Vectors in two dimensions15 questions · 56 marks · E9 · PDF, 74 KB
- Forces and Newton's laws15 questions · 59 marks · E9 · PDF, 78 KB
- Projectiles15 questions · 59 marks · E9 · PDF, 77 KB
- Friction and inclined planes16 questions · 73 marks · E9 · PDF, 84 KB
- Statics of a particle15 questions · 68 marks · E9 · PDF, 77 KB
F Exponentials and logarithms89 questions6 topics
- Exponential functions and e15 questions · 52 marks · F1, F2, F7 · PDF, 56 KB
- Logarithms and their laws15 questions · 53 marks · F3, F4, F5 · PDF, 73 KB
- Log graphs and exponential models16 questions · 65 marks · F6, F7 · PDF, 83 KB
- Correlation and regression16 questions · 57 marks · F6 · PDF, 61 KB
- Functions in modelling15 questions · 55 marks · F7 · PDF, 57 KB
- Solving differential equations12 questions · 56 marks · F7 · PDF, 51 KB
G Differentiation106 questions7 topics
- The derivative from first principles15 questions · 60 marks · G1 · PDF, 78 KB
- Tangents, turning points and curve behaviour16 questions · 74 marks · G1, G3 · PDF, 87 KB
- Differentiating trig, exponentials and logs15 questions · 54 marks · G1, G2 · PDF, 75 KB
- Differentiating powers of x15 questions · 52 marks · G2 · PDF, 74 KB
- The product, quotient and chain rules15 questions · 54 marks · G4 · PDF, 74 KB
- Implicit and parametric differentiation15 questions · 62 marks · G4, G5 · PDF, 56 KB
- Rates of change and building differential equations15 questions · 59 marks · G4, G6 · PDF, 81 KB
H Integration103 questions7 topics
- Integration as antidifferentiation15 questions · 56 marks · H1, H2 · PDF, 75 KB
- Definite integrals and areas16 questions · 64 marks · H1, H3 · PDF, 62 KB
- Integrating standard functions15 questions · 56 marks · H2 · PDF, 52 KB
- Areas, parametric curves and the limit of a sum15 questions · 69 marks · H3, H4 · PDF, 78 KB
- Integration by substitution and by parts15 questions · 64 marks · H5 · PDF, 74 KB
- Integrating rational functions15 questions · 62 marks · H6 · PDF, 73 KB
- Solving differential equations12 questions · 56 marks · H7, H8 · PDF, 51 KB
I Numerical methods46 questions3 topics
- Locating roots and iteration15 questions · 51 marks · I1, I2 · PDF, 77 KB
- The Newton-Raphson method15 questions · 57 marks · I2, I4 · PDF, 78 KB
- The trapezium rule16 questions · 68 marks · I3, I4 · PDF, 87 KB
J Vectors60 questions4 topics
- Vectors in two dimensions15 questions · 56 marks · J1, J2, J3, J4 and 1 more · PDF, 74 KB
- Vectors in three dimensions15 questions · 57 marks · J1, J2, J4, J5 · PDF, 73 KB
- Kinematics with variable acceleration15 questions · 66 marks · J5 · PDF, 80 KB
- Forces and Newton's laws15 questions · 59 marks · J5 · PDF, 78 KB
K Statistical sampling15 questions1 topic
- Sampling and the large data set15 questions · 52 marks · K1 · PDF, 54 KB
L Data presentation and interpretation63 questions4 topics
- Representing and interpreting data16 questions · 59 marks · L1, L4 · PDF, 62 KB
- The normal distribution15 questions · 56 marks · L1 · PDF, 75 KB
- Correlation and regression16 questions · 57 marks · L2 · PDF, 61 KB
- Measures of location and spread16 questions · 59 marks · L3 · PDF, 82 KB
L Data presentation and interpretation on the specification map
M Probability60 questions4 topics
- Probability and Venn diagrams15 questions · 56 marks · M1 · PDF, 75 KB
- The binomial distribution15 questions · 52 marks · M1, M3 · PDF, 54 KB
- The normal distribution15 questions · 56 marks · M1 · PDF, 75 KB
- Conditional probability15 questions · 52 marks · M2, M3 · PDF, 75 KB
N Statistical distributions30 questions2 topics
- The binomial distribution15 questions · 52 marks · N1, N3 · PDF, 54 KB
- The normal distribution15 questions · 56 marks · N2, N3 · PDF, 75 KB
O Statistical hypothesis testing31 questions2 topics
- Hypothesis testing with the binomial16 questions · 67 marks · O1, O2 · PDF, 61 KB
- Hypothesis testing: correlation and the normal15 questions · 61 marks · O1, O3 · PDF, 82 KB
P Quantities and units in mechanics31 questions2 topics
- Modelling, quantities and units15 questions · 51 marks · P1 · PDF, 76 KB
- Moments16 questions · 69 marks · P1 · PDF, 83 KB
P Quantities and units in mechanics on the specification map
Q Kinematics61 questions4 topics
- Modelling, quantities and units15 questions · 51 marks · Q1 · PDF, 76 KB
- Kinematics with constant acceleration16 questions · 70 marks · Q1, Q2, Q3, Q5 · PDF, 83 KB
- Kinematics with variable acceleration15 questions · 66 marks · Q1, Q4 · PDF, 80 KB
- Projectiles15 questions · 59 marks · Q3, Q5 · PDF, 77 KB
R Forces and Newton's laws92 questions6 topics
- Forces and Newton's laws15 questions · 59 marks · R1, R2, R3, R4 and 1 more · PDF, 78 KB
- Statics of a particle15 questions · 68 marks · R1, R4, R5, R6 · PDF, 77 KB
- Friction and inclined planes16 questions · 73 marks · R2, R4, R6 · PDF, 84 KB
- Modelling, quantities and units15 questions · 51 marks · R3 · PDF, 76 KB
- Kinematics with constant acceleration16 questions · 70 marks · R3 · PDF, 83 KB
- Connected particles and pulleys15 questions · 64 marks · R4, R6 · PDF, 79 KB
S Moments16 questions1 topic
- Moments16 questions · 69 marks · S1 · PDF, 83 KB
3.21 Use of data in statistics63 questions4 topics
- Sampling and the large data set15 questions · 52 marks · 3.21.1 · PDF, 54 KB
- Measures of location and spread16 questions · 59 marks · 3.21.1 · PDF, 82 KB
- Representing and interpreting data16 questions · 59 marks · 3.21.1 · PDF, 62 KB
- Correlation and regression16 questions · 57 marks · 3.21.1 · PDF, 61 KB
3.1 Overarching themes561 questions37 topics
- The structure of proof: deduction and exhaustion15 questions · 54 marks · OT1.1, OT1.2, OT1.5 · PDF, 74 KB
- Quadratic functions15 questions · 56 marks · OT1.1, OT1.3, OT2.1 · PDF, 54 KB
- Graphs, proportion and transformations16 questions · 64 marks · OT1.1, OT1.4 · PDF, 63 KB
- Compound angles and the harmonic form15 questions · 62 marks · OT1.1 · PDF, 75 KB
- Indices and surds15 questions · 52 marks · OT1.2, OT2.1 · PDF, 50 KB
- Functions, inverses and the modulus15 questions · 52 marks · OT1.2, OT1.4 · PDF, 52 KB
- Measures of location and spread16 questions · 59 marks · OT1.2 · PDF, 82 KB
- Simultaneous equations and inequalities15 questions · 60 marks · OT1.3 · PDF, 53 KB
- Probability and Venn diagrams15 questions · 56 marks · OT1.3, OT2.7 · PDF, 75 KB
- Reciprocal and inverse trigonometric functions15 questions · 56 marks · OT1.4 · PDF, 75 KB
- Disproof and proof by contradiction15 questions · 51 marks · OT1.5 · PDF, 51 KB
- Arithmetic series15 questions · 57 marks · OT1.5, OT2.2 · PDF, 75 KB
- Geometric series15 questions · 59 marks · OT1.5 · PDF, 55 KB
- The derivative from first principles15 questions · 60 marks · OT1.5 · PDF, 78 KB
- Functions in modelling15 questions · 55 marks · OT2.1, OT2.6, OT3.1, OT3.2 and 2 more · PDF, 57 KB
- Trigonometric graphs and equations16 questions · 63 marks · OT2.1 · PDF, 80 KB
- Straight lines15 questions · 56 marks · OT2.2, OT2.3, OT3.3 · PDF, 54 KB
- Tangents, turning points and curve behaviour16 questions · 74 marks · OT2.2 · PDF, 87 KB
- Solving differential equations12 questions · 56 marks · OT2.2, OT3.3, OT3.4 · PDF, 51 KB
- Log graphs and exponential models16 questions · 65 marks · OT2.3, OT3.2, OT3.4 · PDF, 83 KB
- Correlation and regression16 questions · 57 marks · OT2.3 · PDF, 61 KB
- Modelling, quantities and units15 questions · 51 marks · OT2.3, OT3.1, OT3.5 · PDF, 76 KB
- Locating roots and iteration15 questions · 51 marks · OT2.4, OT2.5, OT2.7 · PDF, 77 KB
- The Newton-Raphson method15 questions · 57 marks · OT2.4, OT2.5 · PDF, 78 KB
- The trapezium rule16 questions · 68 marks · OT2.4, OT2.5 · PDF, 87 KB
- The general binomial expansion15 questions · 70 marks · OT2.5 · PDF, 56 KB
- The normal distribution15 questions · 56 marks · OT2.5 · PDF, 75 KB
- Trigonometric modelling15 questions · 57 marks · OT2.6, OT3.2, OT3.3, OT3.4 · PDF, 56 KB
- Sampling and the large data set15 questions · 52 marks · OT2.6 · PDF, 54 KB
- Representing and interpreting data16 questions · 59 marks · OT2.6, OT2.7 · PDF, 62 KB
- Conditional probability15 questions · 52 marks · OT2.7, OT3.5 · PDF, 75 KB
- Forces and Newton's laws15 questions · 59 marks · OT2.7 · PDF, 78 KB
- Friction and inclined planes16 questions · 73 marks · OT2.7 · PDF, 84 KB
- Rates of change and building differential equations15 questions · 59 marks · OT3.1 · PDF, 81 KB
- Exponential functions and e15 questions · 52 marks · OT3.2 · PDF, 56 KB
- The binomial distribution15 questions · 52 marks · OT3.5 · PDF, 54 KB
- Connected particles and pulleys15 questions · 64 marks · OT3.5 · PDF, 79 KB
A topic is listed under every section its lesson teaches, so some appear more than once. The codes beside each one are the specification references it covers in that section.
All questions, worked solutions and marking guidance are original InkMaths material. They are not copied from awarding-body papers or mark schemes. The codes show how InkMaths allocates the stated total; an awarding body may credit a valid alternative method differently.
The sections and codes are AQA's. Check the current specification when a mark depends on it. The 7357 specification map lists every statement, with the lesson that teaches it.