Leaving Cert Ireland Β· Mathematics

Number and Algebra

21 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 21 questions

  1. A prize of \120$ is shared by Amy and Ben in the ratio $3:5$. How much does Ben receive?
  2. Solve .
  3. If and are the roots of , find .
  4. What is the larger root of ?
  5. Simplify , leaving the answer in index form.
  6. The first term of an arithmetic sequence is and the common difference is . Find the term.
  7. The first term of an arithmetic sequence is and the common difference is . Find the term.
  8. Find the greatest integer satisfying .
  9. varies directly as . When , . Find when .
  10. varies directly as . When , . Find when .
  11. If , find .
  12. Find the minimum value of .
  13. Find the minimum value of .
  14. Find the minimum value of .
  15. Find the minimum value of .
  16. Find the minimum value of .
  17. Find the minimum value of .
  18. Find the minimum value of .
  19. Find the remainder when is divided by .
  20. Find the remainder when is divided by .
  21. Factorise .

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