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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Learn: Angular velocity, and how it relates to linear speed"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

Act as my SS2 Further Maths tutor. Show me step by step how to solve log3(x^2) - log3(x+2)

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Mark scheme walkthrough: factorising a trinomial

I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr

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Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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Teach me solving quadratic inequalities

Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a

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Teach me composite functions

Teach me what a composite function fg(x) means and how to find it, using function notation

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Common Mistakes: Writing down the roots once the brackets are found

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Common Mistakes: A symmetric function needing the sum and product twice over

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Common Mistakes: A word problem giving one linear and one quadratic equation

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WAEC Prep: Dividing by a factor of the form ax plus b

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Common Mistakes: The degree of the quotient and of the remainder

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Common Mistakes: The remainder theorem applied to a quartic

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WAEC Prep: The factor theorem for a factor of the form ax plus b

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Common Mistakes: Using the factor theorem before dividing

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WAEC Prep: Factorising the difference of two cubes

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Practice: The conjunction of two propositions

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Common Mistakes: Translating a symbolic statement back into English

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Practice: Negation combined with a compound statement

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