Teach Me Maths

AQA GCSE Higher worksheets

192 worksheets with solutions. Foundation topics are also listed.

Number

  1. Place Value and Ordering Numbers FoundationGrade 1Number 14 questions, 24 marks
  2. Written Methods for the Four Operations FoundationGrade 1Number 12 questions, 27 marks
  3. Negative Numbers FoundationGrade 1Number 13 questions, 23 marks
  4. Order of Operations FoundationGrade 1Number 12 questions, 23 marks
  5. Factors, Multiples, Primes, Squares and Cubes FoundationGrade 1Number 13 questions, 26 marks
  6. Prime Factorisation, HCF and LCM FoundationGrade 4Number 11 questions, 27 marks
  7. Powers and Roots FoundationGrade 1Number 15 questions, 24 marks
  8. Laws of Indices FoundationGrade 4Number 13 questions, 23 marks
  9. Simplifying and Ordering Fractions FoundationGrade 1Number 14 questions, 23 marks
  10. Adding and Subtracting Fractions FoundationGrade 3Number 11 questions, 24 marks
  11. Multiplying and Dividing Fractions FoundationGrade 3Number 11 questions, 24 marks
  12. Fractions of Amounts FoundationGrade 2Number 10 questions, 25 marks
  13. Converting Fractions, Decimals and Percentages FoundationGrade 2Number 10 questions, 21 marks
  14. Rounding FoundationGrade 1Number 11 questions, 23 marks
  15. Estimation FoundationGrade 3Number 10 questions, 23 marks
  16. Error Intervals FoundationGrade 3Number 12 questions, 21 marks
  17. Standard Form FoundationGrade 5Number 12 questions, 24 marks
  18. Using a Calculator FoundationGrade 2Number 12 questions, 23 marks
  19. Related Calculations and Inverse Operations FoundationGrade 3Number 11 questions, 22 marks
  20. Systematic Listing FoundationGrade 2Number 11 questions, 23 marks
  21. Money and Financial Maths FoundationGrade 3Number 8 questions, 25 marks
  22. Multi-Step Worded Problems FoundationGrade 2Number 9 questions, 26 marks
  23. Fractions - Four Operations FoundationGrade 3Number 10 questions, 28 marks
  24. Recurring Decimals to Fractions HigherGrade 7Number 10 questions, 26 marks
  25. Negative and Fractional Indices HigherGrade 6Number 8 questions, 27 marks
  26. Surds HigherGrade 7Number 8 questions, 24 marks
  27. Rationalising the Denominator HigherGrade 7Number 8 questions, 24 marks
  28. Upper and Lower Bounds HigherGrade 7Number 9 questions, 28 marks
  29. Product Rule for Counting HigherGrade 6Number 9 questions, 20 marks

Algebra

  1. Algebraic Notation and Vocabulary FoundationGrade 2Algebra 15 questions, 32 marks
  2. Simplifying Expressions and Collecting Like Terms FoundationGrade 2Algebra 15 questions, 39 marks
  3. Substitution FoundationGrade 3Algebra 14 questions, 38 marks
  4. Expanding Single Brackets FoundationGrade 4Algebra 16 questions, 42 marks
  5. Factorising into Single Brackets FoundationGrade 4Algebra 16 questions, 34 marks
  6. Expanding Double Brackets FoundationGrade 5Algebra 15 questions, 32 marks
  7. Factorising Quadratics FoundationGrade 5Algebra 14 questions, 28 marks
  8. Laws of Indices in Algebra FoundationGrade 4Algebra 14 questions, 31 marks
  9. Writing Expressions and Formulae FoundationGrade 2Algebra 15 questions, 35 marks
  10. Rearranging Formulae FoundationGrade 5Algebra 14 questions, 27 marks
  11. Function Machines FoundationGrade 2Algebra 12 questions, 30 marks
  12. Solving One- and Two-Step Equations FoundationGrade 2Algebra 15 questions, 29 marks
  13. Equations with Brackets and Unknowns on Both Sides FoundationGrade 3Algebra 15 questions, 40 marks
  14. Forming and Solving Equations FoundationGrade 4Algebra 11 questions, 32 marks
  15. Solving Quadratics by Factorising FoundationGrade 5Algebra 13 questions, 32 marks
  16. Simultaneous Equations FoundationGrade 5Algebra 10 questions, 28 marks
  17. Inequalities on a Number Line FoundationGrade 3Algebra 16 questions, 25 marks
  18. Solving Linear Inequalities FoundationGrade 4Algebra 12 questions, 28 marks
  19. Identities and Algebraic Arguments FoundationGrade 4Algebra 11 questions, 25 marks
  20. Sequences - Term-to-Term Rules and Patterns FoundationGrade 2Algebra 10 questions, 29 marks
  21. Special Sequences FoundationGrade 4Algebra 11 questions, 28 marks
  22. nth Term of Linear Sequences FoundationGrade 4Algebra 12 questions, 28 marks
  23. Coordinates and Midpoints FoundationGrade 3Algebra 12 questions, 25 marks
  24. Plotting Straight-Line Graphs FoundationGrade 3Algebra 9 questions, 24 marks
  25. Gradients and y = mx + c FoundationGrade 5Algebra 13 questions, 28 marks
  26. Quadratic Graphs FoundationGrade 5Algebra 7 questions, 21 marks
  27. Solving Equations Using Graphs FoundationGrade 5Algebra 6 questions, 21 marks
  28. Real-Life and Conversion Graphs FoundationGrade 4Algebra 6 questions, 21 marks
  29. Distance-Time Graphs FoundationGrade 4Algebra 7 questions, 26 marks
  30. Cubic and Reciprocal Graphs HigherGrade 6Algebra 9 questions, 24 marks
  31. Expanding Double and Triple Brackets HigherGrade 6Algebra 8 questions, 29 marks
  32. Factorising Harder Quadratics HigherGrade 7Algebra 9 questions, 27 marks
  33. Rearranging Harder Formulae HigherGrade 7Algebra 9 questions, 25 marks
  34. Linear Equations with Fractions HigherGrade 6Algebra 7 questions, 25 marks
  35. The Quadratic Formula HigherGrade 7Algebra 7 questions, 28 marks
  36. Completing the Square HigherGrade 7Algebra 7 questions, 22 marks
  37. Completing the Square - Harder HigherGrade 8-9Algebra 5 questions, 26 marks
  38. Turning Points by Completing the Square HigherGrade 7Algebra 8 questions, 24 marks
  39. Linear and Quadratic Simultaneous Equations HigherGrade 8-9Algebra 6 questions, 28 marks
  40. Linear Inequalities and Set Notation HigherGrade 6Algebra 10 questions, 30 marks
  41. Quadratic Inequalities HigherGrade 8-9Algebra 10 questions, 28 marks
  42. Inequalities and Regions on Graphs HigherGrade 6Algebra 8 questions, 21 marks
  43. Simplifying Algebraic Fractions HigherGrade 7Algebra 9 questions, 28 marks
  44. Operations with Algebraic Fractions HigherGrade 7Algebra 10 questions, 30 marks
  45. Equations with Algebraic Fractions HigherGrade 8-9Algebra 7 questions, 28 marks
  46. Algebraic Proof HigherGrade 8-9Algebra 11 questions, 29 marks
  47. Function Notation HigherGrade 6Algebra 11 questions, 29 marks
  48. Composite Functions HigherGrade 7Algebra 7 questions, 25 marks
  49. Inverse Functions HigherGrade 7Algebra 8 questions, 30 marks
  50. Iteration HigherGrade 7Algebra 8 questions, 24 marks
  51. nth Term of Quadratic Sequences HigherGrade 7Algebra 9 questions, 23 marks
  52. Special Sequences - Higher HigherGrade 6Algebra 10 questions, 24 marks
  53. Equation of a Straight Line HigherGrade 6Algebra 9 questions, 23 marks
  54. Parallel and Perpendicular Lines HigherGrade 6Algebra 10 questions, 25 marks
  55. Recognising and Sketching Graphs HigherGrade 6Algebra 9 questions, 22 marks
  56. Trigonometric Graphs HigherGrade 7Algebra 9 questions, 22 marks
  57. Graph Transformations HigherGrade 8-9Algebra 8 questions, 21 marks
  58. Equation of a Circle and Tangents HigherGrade 8-9Algebra 9 questions, 25 marks
  59. Real-Life and Distance-Time Graphs - Higher HigherGrade 8-9Algebra 6 questions, 28 marks
  60. Gradients and Areas Under Graphs HigherGrade 8-9Algebra 5 questions, 28 marks

Ratio, proportion and rates of change

  1. Metric Unit Conversions FoundationGrade 1Ratio, proportion and rates of change 11 questions, 23 marks
  2. Area and Volume Unit Conversions FoundationGrade 3Ratio, proportion and rates of change 11 questions, 25 marks
  3. Writing and Simplifying Ratios FoundationGrade 3Ratio, proportion and rates of change 12 questions, 21 marks
  4. Sharing in a Ratio FoundationGrade 3Ratio, proportion and rates of change 10 questions, 25 marks
  5. Ratio Problems FoundationGrade 5Ratio, proportion and rates of change 10 questions, 20 marks
  6. Proportion - Recipes and the Unitary Method FoundationGrade 3Ratio, proportion and rates of change 7 questions, 20 marks
  7. Best Buys FoundationGrade 3Ratio, proportion and rates of change 6 questions, 20 marks
  8. Exchange Rates FoundationGrade 3Ratio, proportion and rates of change 9 questions, 23 marks
  9. Percentage of an Amount FoundationGrade 2Ratio, proportion and rates of change 9 questions, 24 marks
  10. Percentage Increase and Decrease FoundationGrade 3Ratio, proportion and rates of change 11 questions, 24 marks
  11. Percentage Change FoundationGrade 3Ratio, proportion and rates of change 11 questions, 29 marks
  12. Reverse Percentages FoundationGrade 5Ratio, proportion and rates of change 10 questions, 25 marks
  13. Simple and Compound Interest FoundationGrade 4Ratio, proportion and rates of change 10 questions, 25 marks
  14. Speed, Distance and Time FoundationGrade 5Ratio, proportion and rates of change 10 questions, 29 marks
  15. Density, Mass and Volume FoundationGrade 5Ratio, proportion and rates of change 11 questions, 24 marks
  16. Pressure, Force and Area FoundationGrade 5Ratio, proportion and rates of change 10 questions, 25 marks
  17. Direct and Inverse Proportion FoundationGrade 5Ratio, proportion and rates of change 12 questions, 24 marks
  18. Scale Drawings and Maps FoundationGrade 3Ratio, proportion and rates of change 11 questions, 27 marks
  19. Ratio Problems - Higher HigherGrade 6Ratio, proportion and rates of change 11 questions, 29 marks
  20. Ratio and Algebra HigherGrade 7Ratio, proportion and rates of change 10 questions, 26 marks
  21. Percentage Change and Multipliers HigherGrade 6Ratio, proportion and rates of change 13 questions, 30 marks
  22. Compound Interest, Growth and Decay HigherGrade 6Ratio, proportion and rates of change 10 questions, 28 marks
  23. Direct and Inverse Proportion - Forming Equations HigherGrade 7Ratio, proportion and rates of change 10 questions, 27 marks
  24. Compound Measures HigherGrade 6Ratio, proportion and rates of change 10 questions, 27 marks
  25. Converting Compound and Area-Volume Units HigherGrade 6Ratio, proportion and rates of change 11 questions, 25 marks

Geometry and measures

  1. Properties of 2D Shapes FoundationGrade 2Geometry and measures 12 questions, 25 marks
  2. Symmetry FoundationGrade 2Geometry and measures 12 questions, 20 marks
  3. 3D Shapes - Faces, Edges, Vertices and Nets FoundationGrade 2Geometry and measures 12 questions, 22 marks
  4. Measuring and Drawing Lines and Angles FoundationGrade 2Geometry and measures 14 questions, 21 marks
  5. Angle Facts FoundationGrade 2Geometry and measures 12 questions, 28 marks
  6. Angles in Parallel Lines FoundationGrade 4Geometry and measures 11 questions, 24 marks
  7. Angles in Polygons FoundationGrade 4Geometry and measures 11 questions, 22 marks
  8. Perimeter FoundationGrade 2Geometry and measures 11 questions, 28 marks
  9. Area of Rectangles, Triangles, Parallelograms and Trapezia FoundationGrade 3Geometry and measures 11 questions, 24 marks
  10. Area of Compound Shapes FoundationGrade 3Geometry and measures 9 questions, 26 marks
  11. Circles - Circumference and Area FoundationGrade 3Geometry and measures 11 questions, 27 marks
  12. Arcs and Sectors FoundationGrade 5Geometry and measures 10 questions, 27 marks
  13. Volume of Cuboids and Prisms FoundationGrade 4Geometry and measures 10 questions, 26 marks
  14. Cylinders FoundationGrade 4Geometry and measures 9 questions, 23 marks
  15. Surface Area of Prisms and Cylinders FoundationGrade 4Geometry and measures 9 questions, 26 marks
  16. Spheres, Cones and Pyramids FoundationGrade 5Geometry and measures 10 questions, 26 marks
  17. Plans and Elevations FoundationGrade 4Geometry and measures 10 questions, 24 marks
  18. Constructions FoundationGrade 4Geometry and measures 11 questions, 22 marks
  19. Loci FoundationGrade 5Geometry and measures 10 questions, 23 marks
  20. Bearings FoundationGrade 4Geometry and measures 10 questions, 22 marks
  21. Reflections FoundationGrade 3Geometry and measures 12 questions, 22 marks
  22. Rotations FoundationGrade 4Geometry and measures 10 questions, 21 marks
  23. Translations and Column Vectors FoundationGrade 3Geometry and measures 12 questions, 21 marks
  24. Enlargements FoundationGrade 4Geometry and measures 10 questions, 21 marks
  25. Describing and Combining Transformations FoundationGrade 4Geometry and measures 7 questions, 22 marks
  26. Congruence FoundationGrade 4Geometry and measures 12 questions, 20 marks
  27. Similar Shapes FoundationGrade 5Geometry and measures 10 questions, 22 marks
  28. Pythagoras FoundationGrade 4Geometry and measures 10 questions, 27 marks
  29. Trigonometry FoundationGrade 5Geometry and measures 9 questions, 24 marks
  30. Exact Trig Values FoundationGrade 5Geometry and measures 11 questions, 23 marks
  31. Vectors FoundationGrade 5Geometry and measures 11 questions, 23 marks
  32. Angles in Parallel Lines and Polygons - Higher HigherGrade 6Geometry and measures 11 questions, 29 marks
  33. Area and Perimeter of Compound Shapes with Circles HigherGrade 6Geometry and measures 7 questions, 33 marks
  34. Arcs, Sectors and Segments HigherGrade 6Geometry and measures 9 questions, 26 marks
  35. Volume and Surface Area of Prisms and Cylinders HigherGrade 6Geometry and measures 8 questions, 28 marks
  36. Spheres, Cones, Pyramids and Frustums HigherGrade 6Geometry and measures 9 questions, 29 marks
  37. Constructions and Loci - Higher HigherGrade 6Geometry and measures 8 questions, 22 marks
  38. Bearings with Trigonometry HigherGrade 7Geometry and measures 8 questions, 29 marks
  39. Transformations and Invariant Points HigherGrade 6Geometry and measures 9 questions, 24 marks
  40. Enlargements with Negative Scale Factors HigherGrade 6Geometry and measures 9 questions, 22 marks
  41. Congruent Triangles and Geometric Proof HigherGrade 7Geometry and measures 9 questions, 24 marks
  42. Similar Shapes - Areas and Volumes HigherGrade 7Geometry and measures 11 questions, 29 marks
  43. The Sine Rule HigherGrade 7Geometry and measures 10 questions, 29 marks
  44. The Cosine Rule HigherGrade 7Geometry and measures 9 questions, 28 marks
  45. Area of a Triangle Using Sine HigherGrade 7Geometry and measures 10 questions, 26 marks
  46. Mixed Sine and Cosine Rule Problems HigherGrade 7Geometry and measures 6 questions, 26 marks
  47. 3D Pythagoras and Trigonometry HigherGrade 7Geometry and measures 6 questions, 25 marks
  48. Circle Theorems HigherGrade 6Geometry and measures 12 questions, 29 marks
  49. Proving Circle Theorems HigherGrade 8-9Geometry and measures 7 questions, 25 marks
  50. Vector Proof HigherGrade 8-9Geometry and measures 8 questions, 23 marks
  51. Exact Trig Values - Higher HigherGrade 6Geometry and measures 9 questions, 28 marks

Probability

  1. Basic Probability and the Probability Scale FoundationGrade 2Probability 11 questions, 28 marks
  2. Probabilities Summing to 1 FoundationGrade 4Probability 11 questions, 29 marks
  3. Relative Frequency and Expected Outcomes FoundationGrade 4Probability 11 questions, 27 marks
  4. Sample Space Diagrams FoundationGrade 2Probability 8 questions, 30 marks
  5. Frequency Trees FoundationGrade 3Probability 7 questions, 31 marks
  6. Two-Way Tables FoundationGrade 3Probability 6 questions, 25 marks
  7. Venn Diagrams and Set Notation FoundationGrade 5Probability 8 questions, 28 marks
  8. Tree Diagrams FoundationGrade 5Probability 6 questions, 29 marks
  9. Probability - Sample Spaces and Two-Way Tables - Higher HigherGrade 6Probability 7 questions, 28 marks
  10. Conditional Probability HigherGrade 7Probability 7 questions, 27 marks
  11. Probability Equations HigherGrade 8-9Probability 7 questions, 29 marks

Statistics

  1. Types of Data, Sampling and Bias FoundationGrade 3Statistics 9 questions, 21 marks
  2. Frequency Tables FoundationGrade 2Statistics 7 questions, 22 marks
  3. Pictograms, Bar Charts and Vertical Line Charts FoundationGrade 2Statistics 9 questions, 24 marks
  4. Pie Charts FoundationGrade 3Statistics 9 questions, 23 marks
  5. Line Graphs and Time Series FoundationGrade 2Statistics 6 questions, 22 marks
  6. Mean, Median, Mode and Range FoundationGrade 2Statistics 9 questions, 25 marks
  7. Averages from Frequency Tables FoundationGrade 4Statistics 6 questions, 23 marks
  8. Averages from Grouped Frequency Tables FoundationGrade 5Statistics 8 questions, 30 marks
  9. Averages Problems FoundationGrade 5Statistics 10 questions, 30 marks
  10. Comparing Distributions FoundationGrade 4Statistics 7 questions, 22 marks
  11. Scatter Graphs and Correlation FoundationGrade 4Statistics 7 questions, 23 marks
  12. Sampling and Populations HigherGrade 6Statistics 7 questions, 22 marks
  13. Cumulative Frequency HigherGrade 6Statistics 5 questions, 28 marks
  14. Box Plots HigherGrade 6Statistics 10 questions, 27 marks
  15. Drawing Histograms HigherGrade 7Statistics 6 questions, 24 marks
  16. Interpreting Histograms HigherGrade 7Statistics 6 questions, 26 marks