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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

  1. Question 121· Polynomials and the remainder theorem· WAEC

    Find the quotient when x³ − 1 is divided by x − 1.

    Explanation and discussion

  2. Question 122· Polynomials and the remainder theorem· WAEC

    The sum of the roots of the equation 2x² − 7x + 3 = 0 is

    Explanation and discussion

  3. Question 123· Polynomials and the remainder theorem· WAEC

    α and β are the roots of x² − 4x + 1 = 0. Find 1/α + 1/β.

    Explanation and discussion

  4. Question 124· Polynomials and the remainder theorem· WAEC

    If (x + 1) is a factor of x³ + kx² − x − 2, find the value of k.

    Explanation and discussion

  5. Question 125· Polynomials and the remainder theorem· WAEC

    Find the quadratic equation whose roots are 3 and −5.

    Explanation and discussion

  6. Question 126· Polynomials and the remainder theorem· WAEC

    The roots of a quadratic equation are real and equal when the discriminant is

    Explanation and discussion

  7. Question 127· Polynomials and the remainder theorem· WAEC

    The product of the roots of 3x² + 5x − 12 = 0 is

    Explanation and discussion

  8. Question 128· Probability· WAEC

    A bag holds 4 red and 6 white balls. Two are drawn at random without replacement. Find the probability that both are red.

    Explanation and discussion

  9. Question 129· Probability· WAEC

    Events A and B are independent, with P(A) = 0.4 and P(B) = 0.5. Find P(A and B).

    Explanation and discussion

  10. Question 130· Probability· WAEC

    For independent events, P(A) = 0.5 and P(B) = 0.4. P(A and B) is

    Explanation and discussion

  11. Question 131· Probability· WAEC

    A letter is chosen at random from the word MATHEMATICS. Find the probability that it is M.

    Explanation and discussion

  12. Question 132· Probability· WAEC

    Events that cannot occur together are called

    Explanation and discussion

  13. Question 133· Probability· WAEC

    A bag contains 3 red and 5 blue balls. Two balls are drawn at random without replacement. Find the probability that both are red.

    Explanation and discussion

  14. Question 134· Probability· WAEC

    A fair coin is tossed four times. Find the probability of exactly two heads.

    Explanation and discussion

  15. Question 135· Probability· WAEC

    Two fair coins are tossed. The probability of getting two heads is

    Explanation and discussion

  16. Question 136· Probability· WAEC

    A bag has 3 red and 5 blue balls. The probability of picking a red ball is

    Explanation and discussion

  17. Question 137· Probability· WAEC

    P(A) = 0.6, P(B) = 0.5 and P(A ∩ B) = 0.3. Find P(A ∪ B).

    Explanation and discussion

  18. Question 138· Probability· WAEC

    A fair die is tossed once. Find the probability of getting a number greater than 4.

    Explanation and discussion

  19. Question 139· Probability· WAEC

    A and B are independent, with P(A) = 1/3 and P(B) = 1/4. Find the probability that neither occurs.

    Explanation and discussion

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