A-Level UK (AQA, Edexcel, OCR) · Mathematics

Algebra and functions

14 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 14 questions

  1. Find the value of for which has exactly one repeated real root.
  2. Solve .
  3. Solve .
  4. The graph of is transformed to . Describe the transformation.
  5. Given and , find .
  6. Find the inverse of .
  7. Find the remainder when is divided by .
  8. Solve the equation .
  9. Solve , giving to 3 significant figures.
  10. Simplify into a single logarithm.
  11. A population is modelled by , with in years. After how many years does it first double, to 1 decimal place?
  12. What is the coefficient of in the expansion of ?
  13. What is the coefficient of in the expansion of ?
  14. To prove by contradiction that is irrational, you assume in lowest terms. What follows immediately?

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