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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "Solving a cos x plus b sin x equals c by the R method"

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Help me plan my WAEC Further Mathematics exam preparation

Act as my SS2 Further Maths tutor. Help me create a weekly study plan for the next month t

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Worked example: find the determinant of [[5,2],[3,4]]

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Worked example: find the inverse of [[2,1],[5,3]]

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Real-life application of probability using combinatorics

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where probab

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Multi-part exam question on factorising trinomials

I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks

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Learn: Factorising a quadratic whose coefficient of x squared is one

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Worked Example: Factorising a quadratic whose leading coefficient is not one

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Quiz: Factorising a difference of two squares in order to solve it

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Practice: Factorising a quadratic with a common factor taken out first

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Common Mistakes: Checking a completed square by expanding it again

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Final Revision: Why completing the square always works

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WAEC Prep: What the formula gives when the discriminant is negative

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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