Singapore GCE O-Level · Additional Mathematics

Surds, indices and logarithms

24 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 24 questions

  1. Express in the form with a rational denominator.
  2. Express in the form with a rational denominator.
  3. Express in the form with a rational denominator.
  4. Express in the form with a rational denominator.
  5. Express in the form with a rational denominator.
  6. Express in the form with a rational denominator.
  7. Express in the form with a rational denominator.
  8. Given that and , find .
  9. Given that and , find .
  10. Given that and , find .
  11. Given that and , find .
  12. Given that and , find .
  13. Solve for .
  14. Solve for .
  15. Solve for .
  16. Solve for .
  17. Simplify .
  18. Simplify .
  19. Simplify .
  20. Simplify .
  21. Solve .
  22. Solve .
  23. Solve .
  24. Solve .

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