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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 "An answer left in surd form after completing the square"

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Final Revision: Checking that the roots found satisfy the original equation

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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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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Practice: Arrangements when some of the objects are identical

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

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Practice: Choosing a committee that must contain one particular person

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Explain Back: Choosing a committee with a stated number from each of two groups

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

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Explain Back: Solving a quadratic in sin x

I have just studied solving a quadratic in sin x in my SS3 Further Mathematics class. Let

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Common Mistakes: Giving the general solution of a trigonometric equation

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Final Revision: Losing solutions by dividing through by cos x

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Practice: The effect of a in y equals a sin x

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

I have just studied the effect of b in y equals sin bx on the period in my SS3 Further Mat

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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

I have just studied the equation of the line through two given points in my SS3 Further Ma

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Learn: The equation of a circle with its centre at the origin

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Worked Example: The equation of a circle with a given centre and radius

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Explain Back: Deciding whether a point lies inside, on or outside a circle

I have just studied deciding whether a point lies inside, on or outside a circle in my SS3

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