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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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956 prompts matching "Converting a logarithm to base ten so that tables can be used"

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 trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked example: in how many ways can 6 people be seated around a circular table

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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 the argument 'if p then q; p; therefore q' is valid using a truth table

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

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Give me a 5-minute recap of truth tables

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of truth tables, coverin

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Give me a 5-minute recap of logarithms

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of logarithms, covering

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Cambridge-style structured question: factorise x^2 + 9x + 20

Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^

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Cambridge-style structured question: factorise x^2 - 11x + 24

Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^

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Cambridge-style structured question: factorise x^2 + 3x - 28

Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^

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Cambridge-style structured question: factorise 2x^2 + 9x + 4

Set me a Cambridge Additional Maths structured question that says 'Factorise completely 2x

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Cambridge-style structured question: factorise 3x^2 - 11x + 6

Set me a Cambridge Additional Maths structured question that says 'Factorise completely 3x

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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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Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

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Timed practice: five quadratic equations by factorisation

I am in SS 2. Give me five quadratic equations of increasing difficulty to solve by factor

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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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