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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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742 prompts matching "Structured question: quadratic with roots that differ by a given amount"

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Practice: Rationalising a denominator with a whole number multiplying the surd

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Worked Example: Why multiplying by the conjugate clears the surd

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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Practice: Solving an equation with a surd on each side

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Common Mistakes: A surd equation that has no real solution

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Common Mistakes: A binary operation that is ordinary addition in disguise

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Explain Back: Showing distributivity fails by a counter-example

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Explain Back: A fractional index with a numerator above one

I have just studied a fractional index with a numerator above one in my SS1 Further Mathem

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Explain Back: An indicial equation with the unknown in the exponent on both sides

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Worked Example: Converting a logarithm to base ten so that tables can be used

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Explain Back: A logarithmic equation written in two different bases

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Practice: Finding the nth term of a quadratic sequence

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Worked Example: Finding the common difference of an arithmetic progression

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Worked Example: The alternative sum formula that uses the last term

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Explain Back: Finding the first term from the sum and the common difference

I have just studied finding the first term from the sum and the common difference in my SS

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WAEC Prep: A geometric progression with a negative common ratio

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Explain Back: The sum of a geometric progression with a negative common ratio

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Practice: Reversing the sign when multiplying by a negative number

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Explain Back: Solving a linear inequality that contains brackets

I have just studied solving a linear inequality that contains brackets in my SS1 Further M

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