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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Why multiplying by the conjugate clears the surd"

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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

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Worked example: expand (x+2)^5 fully using the binomial theorem

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 term in x^3 in the expansion of (2x-1)^6

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

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

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

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

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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 the argument 'if p then q; p; therefore q' is valid using a truth table

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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 surds

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

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Give me a 5-minute recap of indices and surds

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of indices and surds, co

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Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

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Structured question: quadratic formula with exact surd answer

I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa

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Final Revision: A word problem solved by factorising a quadratic

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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Show All Working: Completing the square with a fractional coefficient of x

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on completing the

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Common Mistakes: Checking a completed square by expanding it again

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Show All Working: Choosing between factorising and the formula

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee

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Show All Working: A simultaneous pair in which the second equation is a circle

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Show All Working: The point of contact when a line touches a curve

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the point of co

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WAEC Prep: Expressions that are not polynomials, and why not

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

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