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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Rationalising when both terms of the denominator are surds"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Quiz me on why negation reverses every truth value

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Teach me logically equivalent propositions

Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit

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Quiz me on biconditional statements

Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each

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Spot my mistake testing logical equivalence

Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test

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Teach me predicate logic basics

Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what

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Spot my mistake in a combinatorial probability problem

Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi

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Worked example: expanding (x+y)^4 using Pascal's triangle

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin

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Teach me approximating powers using binomial expansion

Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate

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Worked example: evaluating a power using binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp

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Teach me arithmetic progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

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Spot my mistake in a geometric progression

Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom

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Spot my mistake differentiating a polynomial

Act as my SS2 Further Maths tutor. I differentiated a polynomial function but I think I ma

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Spot my mistake finding a matrix inverse

Act as my SS2 Further Maths tutor. I found the inverse of a 2x2 matrix but I think I made

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Spot my mistake finding a vector's magnitude

Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma

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Spot my mistake calculating standard deviation

Act as my SS2 Further Maths tutor. I calculated the standard deviation of a data set but I

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Give me a Week 11 revision checklist

Act as my SS2 Further Maths tutor. Based on my Further Mathematics scheme of work covering

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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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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Final Revision: Using a symmetric function to find an unknown coefficient

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

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