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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 "Quiz me on the factorising a cubic with the factor theorem"

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Common Mistakes: Closure on a set of three elements under a stated rule

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Explain Back: What it means for an operation to be associative

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Common Mistakes: Subtraction as an example of neither law

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Common Mistakes: Distributivity on a set of three elements

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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

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Worked Example: The law for multiplying powers of the same base

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

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

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Explain Back: The logarithm of one, in any base

I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.

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Show All Working: The common logarithm, to base ten

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Practice: The relation between log a of b and log b of a

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Explain Back: Finding the first term from the sum and the common difference

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Show All Working: The sum of the terms lying between two given positions

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Common Mistakes: Proving the sum formula by pairing the terms

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Common Mistakes: Inserting a geometric mean between two numbers

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Worked Example: Which form of the sum formula to use when r is less than one

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