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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 41· Dynamics· WAEC

    A particle is projected at 20 m/s at 45° to the horizontal. Find its horizontal range. [g = 10 m/s²]

    Explanation and discussion

  2. Question 42· Dynamics· WAEC

    Find the impulse of a 15 N force acting for 0.2 s.

    Explanation and discussion

  3. Question 43· Dynamics· WAEC

    A 2 kg body changes its velocity from 3 m/s to 7 m/s in 2 s. Find the force acting on it.

    Explanation and discussion

  4. Question 44· Dynamics· WAEC

    A ball is thrown vertically upwards at 20 m/s (g = 10 m/s²). The time taken to reach maximum height is

    Explanation and discussion

  5. Question 45· Dynamics· WAEC

    A car accelerates uniformly from rest at 2 m/s² for 5 s. Its final velocity is

    Explanation and discussion

  6. Question 46· Dynamics· WAEC

    A force of 12 N acts on a mass of 3 kg. The acceleration produced is

    Explanation and discussion

  7. Question 47· Dynamics· WAEC

    A 3 kg body moving at 4 m/s collides with a 1 kg body at rest and they move off together. Find their common velocity.

    Explanation and discussion

  8. Question 48· Dynamics· WAEC

    A force of 12 N acts on a body of mass 3 kg. Find the acceleration produced.

    Explanation and discussion

  9. Question 49· Dynamics· WAEC

    A car starts from rest and accelerates uniformly at 2 m/s². Find its velocity after 5 seconds.

    Explanation and discussion

  10. Question 50· Functions and rational functions· WAEC

    If f(x) = 2x + 3 and g(x) = x², then f(g(2)) is

    Explanation and discussion

  11. Question 51· Functions and rational functions· WAEC

    Which of these functions is one-to-one on the real numbers?

    Explanation and discussion

  12. Question 52· Functions and rational functions· WAEC

    Find the domain of f(x) = √(x − 2) over the real numbers.

    Explanation and discussion

  13. Question 53· Functions and rational functions· WAEC

    Under the mapping f: x → x² + 1, which elements of the real numbers map onto 10?

    Explanation and discussion

  14. Question 54· Functions and rational functions· WAEC

    Given f(x) = 2x + 3 and g(x) = x², find g(f(1)).

    Explanation and discussion

  15. Question 55· Functions and rational functions· WAEC

    The inverse of f(x) = 3x − 4 is

    Explanation and discussion

  16. Question 56· Functions and rational functions· WAEC

    If f(x) = x² − 1, find f(a + 1).

    Explanation and discussion

  17. Question 57· Functions and rational functions· WAEC

    If f(x) = 5x − 2, find f⁻¹(8).

    Explanation and discussion

  18. Question 58· Functions and rational functions· WAEC

    Given f(x) = x² and g(x) = x + 1, find f(g(2)).

    Explanation and discussion

  19. Question 59· Functions and rational functions· WAEC

    Find the inverse of f(x) = (x + 4)/3.

    Explanation and discussion

  20. Question 60· Functions and rational functions· WAEC

    The function f(x) = 1/(x − 3) is undefined when x equals

    Explanation and discussion

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