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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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938 prompts matching "Solving cos x equals a negative value, and finding both solutions"

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

Quiz me on the finding the remainder when a cubic is divided by a linear factor

Act as my SS2 Further Mathematics tutor and quiz me on finding the remainder when a cubic

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Worked example: solving x^3-6x^2+11x-6=0

Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic

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Sum and product of roots of a cubic equation

Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o

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Explain solving cubic equations back to me

Act as my SS2 Further Maths tutor. I'll explain the full process for solving a cubic equat

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Quiz me on why negation reverses every truth value

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Worked example: converse and inverse of a statement

Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a

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Teach me probability using permutations and combinations

Act as my SS2 Further Maths tutor. Teach me how to solve probability problems using permut

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Spot my mistake finding a specific term

Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e

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Worked example: solving a quadratic trigonometric equation

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri

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Worked example: finding a term in an arithmetic progression

Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter

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Teach me finding stationary points

Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom

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Give me practice on differentiation and stationary points

Act as my SS2 Further Maths tutor. Give me six practice questions on differentiating polyn

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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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Worked example: plotting a complex number on an Argand diagram

Act as my SS2 Further Maths tutor. Show me a full worked example of plotting a complex num

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Worked example: solving simultaneous equations using matrices

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu

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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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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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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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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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Quiz me on quadratic inequalities

I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu

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