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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

  3. Question 23· Differentiation· WAEC

    Differentiate y = 5x³ − 4x + 7/x with respect to x.

    Explanation and discussion

  4. Question 24· Differentiation· WAEC

    Find dy/dx if y = (2x + 1)³.

    Explanation and discussion

  5. Question 25· Differentiation· WAEC

    Differentiate (3x − 1)/(x + 2) with respect to x.

    Explanation and discussion

  6. Question 26· Differentiation· WAEC

    If y = (2x + 1)³, then dy/dx is

    Explanation and discussion

  7. Question 27· Differentiation· WAEC

    The displacement of a particle is s = t³ − 6t² + 9t metres. Find its velocity at t = 2 seconds.

    Explanation and discussion

  8. Question 28· Differentiation· WAEC

    Find the turning point of the curve y = 2x² − 8x + 5.

    Explanation and discussion

  9. Question 29· Differentiation· WAEC

    Find the gradient of the curve y = x² − 3x + 2 at the point where x = 4.

    Explanation and discussion

  10. Question 30· Differentiation· WAEC

    The displacement of a particle is s = t³ − 2t. Its velocity at t = 2 s is

    Explanation and discussion

  11. Question 31· Differentiation· WAEC

    The curve y = x² − 6x + 5 has a turning point at x =

    Explanation and discussion

  12. Question 32· Differentiation· WAEC

    Differentiate y = x² sin x.

    Explanation and discussion

  13. Question 33· Differentiation· WAEC

    Find dy/dx if y = sin 3x.

    Explanation and discussion

  15. Question 35· Dynamics· WAEC

    A man of mass 60 kg stands in a lift accelerating upwards at 2 m/s². Find the reaction of the floor on him. [g = 10 m/s²]

    Explanation and discussion

  16. Question 36· Dynamics· WAEC

    A body moving at 10 m/s decelerates uniformly to rest in 5 s. Its deceleration is

    Explanation and discussion

  17. Question 37· Dynamics· WAEC

    A body starts from rest and accelerates at 4 m/s². The distance covered in 3 s is

    Explanation and discussion

  18. Question 38· Dynamics· WAEC

    The momentum of a 2 kg body moving at 6 m/s is

    Explanation and discussion

  19. Question 39· Dynamics· WAEC

    Find the momentum of a body of mass 4 kg moving with a velocity of 6 m/s.

    Explanation and discussion

  20. Question 40· Dynamics· WAEC

    A stone is projected vertically upwards with a speed of 20 m/s. Taking g = 10 m/s², find the greatest height reached.

    Explanation and discussion

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