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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,319 prompts matching "IGCSE Additional Maths Y10: A logarithmic equation with the unknown in the base"

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

Practice: The difference of two sets, A minus B

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Explain Back: The symmetric difference of two sets

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Worked Example: Testing whether a binary operation is closed on a given set

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Explain Back: Finding the identity element of a binary operation

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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

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Show All Working: Expressing a number in the form a root b

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Explain Back: The laws of logarithms for a product and for a quotient

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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

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Show All Working: Solving a quadratic by completing the square

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Practice: Finding alpha minus beta from the sum and the product

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Show All Working: Finding a coefficient given a stated relation between the roots

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

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Common Mistakes: The range of values of x for which an expression stays positive

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Worked Example: The number of arrangements of n different objects in a row

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