UK GCSE Β· GCSE Mathematics (Higher Tier)

Algebra: Quadratics, Simultaneous Equations and Sequences

15 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 15 questions

  1. Solve the simultaneous equations: and .
  2. Find the term formula for the quadratic sequence:
  3. Simplify the algebraic fraction fully: .
  4. Write in the completed square form .
  5. Solve the inequality: .
  6. The functions and are defined as () and . Solve the equation .
  7. Solve .
  8. Factorise .
  9. Solve .
  10. Solve . Give your answers correct to 2 decimal places.
  11. Solve the simultaneous equations and . Which pair is a solution?
  12. Find the nth term of the sequence 7, 11, 15, 19, ...
  13. Find the nth term of the quadratic sequence 2, 9, 20, 35, ...
  14. Make the subject of .
  15. Write in the form . What is the minimum value of the expression?

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