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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 221· The binomial theorem· WAEC

    How many terms are there in the expansion of (a + b)⁸?

    Explanation and discussion

  2. Question 222· The binomial theorem· WAEC

    Find the sum of the coefficients in the expansion of (1 + x)⁵.

    Explanation and discussion

  3. Question 223· The binomial theorem· WAEC

    Use the binomial expansion to evaluate (1.01)⁵ correct to three decimal places.

    Explanation and discussion

  4. Question 224· The binomial theorem· WAEC

    The first three terms of the expansion of (1 + x)⁶ in ascending powers of x are

    Explanation and discussion

  5. Question 225· The binomial theorem· WAEC

    Find the coefficient of x² in the expansion of (1 + 2x)⁵.

    Explanation and discussion

  6. Question 226· The binomial theorem· WAEC

    In the binomial expansion of (1 + x)⁷ in ascending powers of x, what is the coefficient of the fourth term?

    Explanation and discussion

  7. Question 227· The binomial theorem· WAEC

    Using (1 + x)ⁿ ≈ 1 + nx for small x, (1.02)⁵ is approximately

    Explanation and discussion

  8. Question 228· The binomial theorem· WAEC

    The third term in the expansion of (2 + x)⁴ is

    Explanation and discussion

  9. Question 229· The binomial theorem· WAEC

    Find the term independent of x in the expansion of (x + 1/x)⁴.

    Explanation and discussion

  10. Question 230· The binomial theorem· WAEC

    The number of terms in the expansion of (a + b)⁷ is

    Explanation and discussion

  11. Question 231· The binomial theorem· WAEC

    The coefficient of x² in the expansion of (1 + x)⁵ is

    Explanation and discussion

  12. Question 232· The binomial theorem· WAEC

    Find the middle term in the expansion of (a + b)⁶.

    Explanation and discussion

  13. Question 233· The binomial theorem· WAEC

    When (2 − x)⁴ is expanded, the term in x² has coefficient

    Explanation and discussion

  14. Question 234· The binomial theorem· WAEC

    The constant term in the expansion of (x + 1/x)⁴ is

    Explanation and discussion

  15. Question 235· The binomial theorem· WAEC

    The sum of the binomial coefficients in the expansion of (1 + x)⁶ is

    Explanation and discussion

  16. Question 236· Trigonometry· WAEC

    Without using tables, find the value of sin 75°.

    Explanation and discussion

  17. Question 237· Trigonometry· WAEC

    Without tables, find tan 15°.

    Explanation and discussion

  19. Question 239· Trigonometry· WAEC

    Solve 2 cos θ − 1 = 0 for 0° ≤ θ ≤ 360°.

    Explanation and discussion

  20. Question 240· Trigonometry· WAEC

    If sin θ = 3/5 and θ is acute, then cos θ is

    Explanation and discussion

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