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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,202 prompts matching "IGCSE Additional Maths Y10: Simplifying a chain of logarithms — Exam Technique"

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

Learn: Simplifying a surd by extracting the largest perfect square

You are my personal SS3 Further Mathematics tutor. Teach me simplifying a surd by extracti

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Quiz: Multiplying two surds and simplifying the result

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Practice: Rationalising a denominator of the form root a

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

I have just studied rationalising a denominator of the form a plus root b using the conjug

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WAEC Prep: Comparing the sizes of two surds without a calculator

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Learn: The multiplication and division laws of indices used together

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Practice: Converting between index form and logarithm form

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Learn: The sum and the product of the roots read from the coefficients

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Worked Example: The discriminant, and what each of its three cases means

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Explain Back: The range of values of k for which the roots are real

I have just studied the range of values of k for which the roots are real in my SS3 Furthe

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Learn: The degree of a polynomial and its leading coefficient

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Spot My Mistake: The factor theorem for a divisor of the form ax minus b

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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Learn: The sum of the roots of a cubic read from its coefficients

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Quiz: The product of the roots of a cubic

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Practice: Finding the third root of a cubic when two are known

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