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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 change of base formula for logarithms"

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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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Final Revision: Evaluating a numerical expression using the index laws

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Show All Working: Simplifying an expression that mixes the index types

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Practice: Solving 2 to the power x equals 32

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Explain Back: Splitting a single logarithm into several

I have just studied splitting a single logarithm into several in my SS1 Further Mathematic

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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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Spot My Mistake: Finding the common difference from two given terms

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Spot My Mistake: Finding the common ratio when the third and sixth terms are given

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

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

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Worked Example: Adding or subtracting the same number on both sides

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Practice: Reversing the sign when multiplying by a negative number

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Spot My Mistake: The solution when the quadratic expression is less than nought

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Explain Back: Solving an inequality such as modulus of 2x minus 1 less than 5

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Show All Working: The region satisfying two linear inequalities together

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Common Mistakes: Reading a solution set off a graph

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Final Revision: Writing the inequalities that describe a shaded region

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