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JAMB and WAEC Further Mathematics questions

267 questions with answers and explanations. Tap an option to check yourself.

AllJAMBWAEC
All topicsCoordinate geometry and conic sections · 16Differentiation · 18Dynamics · 15Functions and rational functions · 15Integration · 16Matrices and determinants · 16Permutations and combinations · 15Polynomials and the remainder theorem · 16Probability · 16Sequences and series · 16Sets, binary operations and logic · 16Statics · 14Statistics · 15Surds, indices and logarithms · 16The binomial theorem · 15Trigonometry · 16Vectors · 16

  2. Question 102· Permutations and combinations· WAEC

    In how many ways can 4 people sit round a circular table?

    Explanation and discussion

  3. Question 103· Permutations and combinations· WAEC

    In how many ways can 5 different books be arranged in a row on a shelf?

    Explanation and discussion

  4. Question 104· Permutations and combinations· WAEC

    In how many ways can a president and a secretary be chosen from 6 candidates?

    Explanation and discussion

  5. Question 105· Permutations and combinations· WAEC

    In how many ways can 4 different prizes be given to 4 students if each gets one prize?

    Explanation and discussion

  6. Question 106· Permutations and combinations· WAEC

    In how many ways can 4 books be selected from 6 different books?

    Explanation and discussion

  7. Question 107· Permutations and combinations· WAEC

    In how many ways can first, second and third prizes be awarded among 8 contestants?

    Explanation and discussion

  8. Question 108· Permutations and combinations· WAEC

    A committee of 3 boys and 2 girls is chosen from 5 boys and 4 girls. In how many ways can this be done?

    Explanation and discussion

  9. Question 109· Permutations and combinations· WAEC

    The number of arrangements of the letters of the word BOOK is

    Explanation and discussion

  10. Question 110· Permutations and combinations· WAEC

    In how many ways can a committee of 2 be chosen from 6 people?

    Explanation and discussion

  11. Question 111· Permutations and combinations· WAEC

    A coach must pick 3 players from a squad of 10. How many different selections are possible?

    Explanation and discussion

  12. Question 112· Polynomials and the remainder theorem· WAEC

    The sum of the roots of 2x² − 6x + 1 = 0 is

    Explanation and discussion

  13. Question 113· Polynomials and the remainder theorem· WAEC

    (x − 2) is a factor of x³ − 3x² + kx + 2. Find k.

    Explanation and discussion

  14. Question 114· Polynomials and the remainder theorem· WAEC

    The remainder when x³ − 2x + 1 is divided by (x − 2) is

    Explanation and discussion

  15. Question 115· Polynomials and the remainder theorem· WAEC

    Find the discriminant of x² + 4x + 5.

    Explanation and discussion

  16. Question 116· Polynomials and the remainder theorem· WAEC

    If (x + 1) is a factor of x² + kx + 3, the value of k is

    Explanation and discussion

  17. Question 117· Polynomials and the remainder theorem· WAEC

    Find the range of values of x for which x² − 5x + 6 < 0.

    Explanation and discussion

  18. Question 118· Polynomials and the remainder theorem· WAEC

    Find the remainder when 2x³ + x² − 5x + 7 is divided by (x + 2).

    Explanation and discussion

  19. Question 119· Polynomials and the remainder theorem· WAEC

    If α and β are the roots of x² − 5x + 6 = 0, find α² + β².

    Explanation and discussion

  20. Question 120· Polynomials and the remainder theorem· WAEC

    For what values of k does x² + kx + 9 = 0 have equal roots?

    Explanation and discussion

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