Set 4 — 2026 past papers

  1. 4.01: Equal roots and a parameter

Set 3 — 2021–2025 past papers

  1. 3.3: Fractional powers and logarithmic simultaneous equations
  2. 3.17: Index equation reducing to y=3xy = 3x
  3. 3.18: Power simultaneous equations in xx and yy
  4. 3.1: Sine equation with phase shift in radians
  5. 3.2: Exponential simultaneous equations and reciprocal exponential
  6. 3.13: Completing the square for a maximum value
  7. 3.14: Simultaneous equations with xx and lny\ln y
  8. 3.15: Quadratic curve completely above the xx-axis
  9. 3.16: Logarithmic simultaneous equations and index equation
  10. 3.9: Completing the square, sketch and three solutions
  11. 3.10: Linear–product simultaneous equations and log equation
  12. 3.11: Simultaneous equations with 7\sqrt{7}
  13. 3.12: Linear and product-type simultaneous equations
  14. 3.4: Quadratic and linear simultaneous equations
  15. 3.5: Stationary points on a logarithmic–quadratic curve
  16. 3.6: Exponential simultaneous equations and a linear exponent equation
  17. 3.7: Modulus graphs and inequality from intersections
  18. 3.8: Linear simultaneous equations with surds

Set 2

  1. 2.4: Intersection of curve and line
  2. 2.9: Logarithmic equations with base 3
  3. 2.12: Quadratic and linear simultaneous equations
  4. 2.13: Index equations in xx and yy
  5. 2.1: Simultaneous equations with powers of 10
  6. 2.3: Linear equations with 2\sqrt{2}
  7. 2.8: Index equations in pp and qq
  8. 2.11: Logarithmic equations with base 2
  9. 2.6: Line intersecting an ellipse
  10. 2.2: Linear equations with surds
  11. 2.7: Logarithmic simultaneous equations
  12. 2.10: Logarithmic equations reducing to linear form
  13. 2.5: Intersection of rational curve and line

Set 1

  1. 1.2: Exponential equations with bases 7 and 5
  2. 1.1: Linear and circle equation
  3. 1.3: Linear and circle equation