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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Quiz me on when a conjunction of three statements is true"

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

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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Learn: The multiplication and division laws of indices used together

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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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Explain Back: Forming a cubic equation whose three roots are given

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WAEC Prep: Finding a coefficient of a cubic given one of its roots

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

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Learn: The meaning of n factorial, and how to evaluate it

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

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WAEC Prep: Circular permutations of n objects round a table

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Show All Working: Arrangements of the letters of a given word

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Common Mistakes: Arrangements restricted at the first or the last place

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Learn: The meaning of n choose r, and how to evaluate it

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Common Mistakes: Selections in which at least one of a kind must appear

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Practice: Solving an equation of the form sin of 2x equals a given value

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Explain Back: The effect of b in y equals sin bx on the period

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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet

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Practice: The equation of a line through a point with a given gradient

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Explain Back: The equation of the line through two given points

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