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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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739 prompts matching "Learn: What makes an argument valid"

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Learn: Why a surd is never left in the denominator

You are my personal SS1 Further Mathematics tutor. Teach me why a surd is never left in th

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Explain Back: Simplifying the answer once the denominator is rational

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Learn: The conjugate of a compound surd expression

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Explain Back: Solving an equation where the surd must be isolated first

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Common Mistakes: Subtraction as an example of neither law

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

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

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Common Mistakes: An indicial equation solved by substitution

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Learn: The definition of a logarithm as the index

You are my personal SS1 Further Mathematics tutor. Teach me the definition of a logarithm

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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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Learn: The law for the logarithm of a product

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Common Mistakes: An arithmetic progression with a negative common difference

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

I have just studied finding the first term from the sum and the common difference in my SS

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Common Mistakes: Inserting a geometric mean between two numbers

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Learn: The formula for the sum of the first n terms of a geometric progression

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

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Common Mistakes: A double inequality such as 2 less than x less than 7

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Learn: Factorising a quadratic before solving the inequality

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