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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 1· Coordinate geometry and conic sections· WAEC

    Find the gradient of a line perpendicular to 2x + 3y = 6.

    Explanation and discussion

  2. Question 2· Coordinate geometry and conic sections· WAEC

    The distance between (1, 2) and (4, 6) is

    Explanation and discussion

  3. Question 3· Coordinate geometry and conic sections· WAEC

    Find the gradient of the line 4x − 2y + 7 = 0.

    Explanation and discussion

  4. Question 4· Coordinate geometry and conic sections· WAEC

    Find the acute angle between lines with gradients 1 and √3.

    Explanation and discussion

  5. Question 5· Coordinate geometry and conic sections· WAEC

    Lines with gradients 2 and −1/2 are

    Explanation and discussion

  6. Question 6· Coordinate geometry and conic sections· WAEC

    Calculate the distance between the points (1, 2) and (4, 6).

    Explanation and discussion

  7. Question 7· Coordinate geometry and conic sections· WAEC

    The point (2, k) lies on the line y = 3x − 4. Find k.

    Explanation and discussion

  8. Question 8· Coordinate geometry and conic sections· WAEC

    The midpoint of (2, 4) and (6, 10) is

    Explanation and discussion

  9. Question 9· Coordinate geometry and conic sections· WAEC

    The focus of the parabola y² = 8x is

    Explanation and discussion

  10. Question 10· Coordinate geometry and conic sections· WAEC

    The gradient of the line 2y = 6x + 5 is

    Explanation and discussion

  11. Question 11· Coordinate geometry and conic sections· WAEC

    Find the centre and radius of the circle x² + y² − 4x + 6y − 3 = 0.

    Explanation and discussion

  12. Question 12· Coordinate geometry and conic sections· WAEC

    Find the point that divides the line from A(1, 4) to B(7, 10) internally in the ratio 1 : 2.

    Explanation and discussion

  13. Question 13· Coordinate geometry and conic sections· WAEC

    Find the equation of the circle with centre (2, −3) and radius 4.

    Explanation and discussion

  14. Question 14· Coordinate geometry and conic sections· WAEC

    The radius of the circle x² + y² = 49 is

    Explanation and discussion

  15. Question 15· Coordinate geometry and conic sections· WAEC

    The centre of the circle x² + y² − 4x + 6y − 3 = 0 is

    Explanation and discussion

  16. Question 16· Coordinate geometry and conic sections· WAEC

    Find the perpendicular distance of the point (3, 4) from the line 3x + 4y − 10 = 0.

    Explanation and discussion

  17. Question 17· Differentiation· WAEC

    Differentiate (x² + 1)⁴ with respect to x.

    Explanation and discussion

  18. Question 18· Differentiation· WAEC

    The radius of a circle increases at 2 cm/s. How fast is the area increasing when the radius is 5 cm?

    Explanation and discussion

  20. Question 20· Differentiation· WAEC

    Find the equation of the tangent to y = x² at the point (2, 4).

    Explanation and discussion

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