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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "The angle between two lines found from their gradients"

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Common Mistakes: Checking an inverse by working the operation both ways

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Final Revision: Identity and inverse together, and what they give the set

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Explain Back: The law for a product raised to a power

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Common Mistakes: Why the index laws need the bases to match

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Final Revision: Evaluating a numerical expression using the index laws

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

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Explain Back: The logarithm of one, in any base

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WAEC Prep: Why the logarithm of a negative number does not exist

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Final Revision: The characteristic and the mantissa of a logarithm

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Explain Back: Spotting the pattern in a sequence of squares or cubes

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Final Revision: Describing a sequence in words and then in symbols

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WAEC Prep: A word problem about seats in the rows of a hall

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Common Mistakes: Proving the sum formula by pairing the terms

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Final Revision: Deciding whether a given sequence is a geometric progression

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

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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Final Revision: Proving the sum formula for a geometric progression

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Explain Back: The solution when the quadratic expression is greater than nought

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Final Revision: Writing the inequalities that describe a shaded region

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