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AQA GCSE Mathematics topic questions

Practice questions per spec point, written in board paper style with mark-scheme answers.

  1. AAlgebra5 questions →
  2. A1Use and interpret algebraic notation7 questions →
  3. A10Identify and interpret gradients and intercepts of linear functions7 questions →
  4. A11Identify roots, intercepts, turning points of quadratics; complete the square7 questions →
  5. A12Recognise and sketch linear, quadratic, cubic, reciprocal, exponential and trig graphs7 questions →
  6. A13Sketch translations and reflections of a given function7 questions →
  7. A14Plot and interpret real-context graphs; kinematic problems7 questions →
  8. A15Calculate or estimate gradients and areas under graphs; interpret in context7 questions →
  9. A16Recognise circle equations centred at origin; find tangent equations7 questions →
  10. A17Solve linear equations algebraically and graphically7 questions →
  11. A18Solve quadratics by factorising; completing the square; quadratic formula8 questions →
  12. A19Solve simultaneous equations: linear/linear; linear/quadratic7 questions →
  13. A2Substitute numerical values into formulae and expressions7 questions →
  14. A20Find approximate solutions to equations using iteration7 questions →
  15. A21Translate situations into algebraic expressions; derive and solve in context7 questions →
  16. A22Solve linear inequalities; represent solutions on number lines and graphs7 questions →
  17. A23Generate sequences from term-to-term and position-to-term rules7 questions →
  18. A24Recognise sequences: triangular, square, cube, Fibonacci, arithmetic, geometric, quadratic7 questions →
  19. A25Deduce nth term for linear and quadratic sequences7 questions →
  20. A3Vocabulary of expressions, equations, formulae, inequalities, terms, factors7 questions →
  21. A4Simplify expressions: collect like terms, multiply over brackets, factorise; expand binomials; factor quadratics8 questions →
  22. A5Use standard mathematical formulae; rearrange to change the subject7 questions →
  23. A6Distinguish equations, identities, formulae; argue with algebraic equivalence7 questions →
  24. A7Interpret expressions as functions; inverse and composite functions7 questions →
  25. A8Work with coordinates in all four quadrants7 questions →
  26. A9Plot linear graphs; y = mx + c; parallel and perpendicular lines7 questions →
  27. GGeometry and measures5 questions →
  28. G1Conventional terms and notations: points, lines, vertices, planes7 questions →
  29. G10Apply and prove standard circle theorems7 questions →
  30. G11Solve geometric problems on coordinate axes7 questions →
  31. G12Properties of faces, surfaces, edges and vertices of 3D solids7 questions →
  32. G13Interpret and construct plans and elevations of 3D shapes7 questions →
  33. G14Standard units of measure: length, area, volume, capacity, mass, time, money7 questions →
  34. G15Measure line segments and angles; interpret maps and scale drawings7 questions →
  35. G16Formulae for area of triangles, parallelograms, trapezia7 questions →
  36. G17Circumference and area of a circle; surface area / volume of spheres, pyramids, cones7 questions →
  37. G18Arc lengths, angles and areas of sectors of circles7 questions →
  38. G19Congruence and similarity; areas and volumes in similar figures7 questions →
  39. G2Standard ruler-and-compass constructions7 questions →
  40. G20Pythagoras and trigonometric ratios; extension to general triangles in 3D8 questions →
  41. G21Exact values of sin θ and cos θ for 0°, 30°, 45°, 60°, 90°7 questions →
  42. G22Sine rule and cosine rule for unknown lengths and angles7 questions →
  43. G23Area = ½ab sin C for area, sides or angles of a triangle7 questions →
  44. G24Describe translations as 2D vectors7 questions →
  45. G25Vector addition, subtraction, scalar multiplication; geometric arguments and proofs7 questions →
  46. G3Properties of angles at a point; angles on a straight line; in parallel lines7 questions →
  47. G4Properties of special quadrilaterals7 questions →
  48. G5Triangle congruence: SSS, SAS, ASA, RHS7 questions →
  49. G6Apply angle facts, congruence, similarity and quadrilateral properties7 questions →
  50. G7Identify and construct congruent and similar shapes; fractional and negative scale factors7 questions →
  51. G8Changes and invariance under rotation, reflection, translation, enlargement combinations7 questions →
  52. G9Circle definitions and properties; tangent, arc, sector, segment7 questions →
  53. NNumber5 questions →
  54. N1Order positive and negative integers, decimals and fractions7 questions →
  55. N10Convert terminating decimals to fractions; recurring decimals to fractions7 questions →
  56. N11Identify and work with fractions in ratio problems7 questions →
  57. N12Interpret fractions and percentages as operators7 questions →
  58. N13Use standard units of mass, length, time, money and other measures7 questions →
  59. N14Estimate answers; check using approximation and estimation7 questions →
  60. N15Round numbers and measures to an appropriate degree of accuracy7 questions →
  61. N16Apply and interpret limits of accuracy including upper and lower bounds7 questions →
  62. N2Apply the four operations to integers, decimals and simple fractions7 questions →
  63. N3Recognise and use inverse operations and relationships between operations7 questions →
  64. N4Use vocabulary of primes, factors, multiples; HCF and LCM8 questions →
  65. N5Apply systematic listing strategies and the product rule for counting7 questions →
  66. N6Use positive integer powers and associated real roots (square, cube, higher)7 questions →
  67. N7Calculate with roots and integer indices; fractional indices7 questions →
  68. N8Calculate exactly with fractions, multiples of π, and surds7 questions →
  69. N9Calculate with and interpret standard form A × 10ⁿ8 questions →
  70. PProbability5 questions →
  71. P1Record, describe and analyse outcome frequencies; tables and frequency trees7 questions →
  72. P2Apply randomness, fairness and equally likely events to expected outcomes7 questions →
  73. P3Relative expected frequencies vs theoretical probability; 0–1 scale7 questions →
  74. P4Probabilities of an exhaustive set of outcomes sum to 17 questions →
  75. P5Empirical samples tend to theoretical distributions with sample size7 questions →
  76. P6Enumerate sets and combinations: tables, grids, Venn diagrams7 questions →
  77. P7Construct possibility spaces for single and combined experiments7 questions →
  78. P8Probability of independent and dependent combined events; tree diagrams7 questions →
  79. P9Conditional probabilities via two-way tables, trees, Venn diagrams7 questions →
  80. RRatio, proportion and rates of change5 questions →
  81. R1Convert between related standard units and compound units7 questions →
  82. R10Solve problems involving direct and inverse proportion7 questions →
  83. R11Compound units including speed, density, pressure7 questions →
  84. R12Compare dimensions using ratio; similarity links7 questions →
  85. R13Inverse proportionality; construct equations describing proportion7 questions →
  86. R14Interpret gradient as rate of change; proportion graphs7 questions →
  87. R15Interpret gradient at a point on a curve as instantaneous rate of change7 questions →
  88. R16Growth and decay; compound interest; iterative processes7 questions →
  89. R2Use scale factors, scale diagrams and maps7 questions →
  90. R3Express one quantity as a fraction of another7 questions →
  91. R4Use ratio notation including reduction to simplest form7 questions →
  92. R5Divide quantities into ratio parts; apply ratio to real contexts7 questions →
  93. R6Express a multiplicative relationship as ratio or fraction7 questions →
  94. R7Understand and use proportion as equality of ratios7 questions →
  95. R8Relate ratios to fractions and to linear functions7 questions →
  96. R9Percentage change, reverse percentages, problem-solving7 questions →
  97. SStatistics5 questions →
  98. S1Infer properties of populations from samples; sampling limitations7 questions →
  99. S2Tables, charts and diagrams: frequency tables, bar charts, pie charts, pictograms7 questions →
  100. S3Diagrams for grouped data: histograms (equal/unequal class widths) and cumulative frequency graphs7 questions →
  101. S4Compare distributions; measures of central tendency and spread7 questions →
  102. S5Apply statistics to describe a population7 questions →
  103. S6Interpret scatter graphs; correlation and causation7 questions →