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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,044 prompts matching "The dot product used to find the work done by a force"

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

Teach me the finding the modulus of a complex number

You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number

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Spot my mistake finding a vector's magnitude

Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma

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Summarise polynomials and the remainder/factor theorems for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Test me under exam conditions on polynomials and the remainder/factor theorems

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po

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

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

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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: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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Real-life application of the factor theorem

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the fa

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Real-life application of the condition for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co

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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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Worked Example: Factorising a quadratic whose leading coefficient is not one

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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Worked Example: Halving the coefficient of x and squaring it

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin

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Practice: Working through a quadratic by completing the square, step by step

Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug

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Final Revision: Why completing the square always works

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Practice: Giving the roots correct to two decimal places

Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo

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Practice: The value of alpha to the fourth plus beta to the fourth

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a

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