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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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1,045 prompts matching "Find the range of x for which y = x^3 - 3x is increasing"

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

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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Teach me arithmetic progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

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Worked example: solving a quadratic with complex roots

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

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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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Explain complex numbers back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words what a complex number is a

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Teach me adding and subtracting vectors

Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum

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Quiz me on vector operations

Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting, and

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Worked example: simplify (3+2i) + (1-5i)

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Worked example: simplify (2+i)(3-4i)

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Worked example: simplify (4+3i)/(1-2i)

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Word problem leading to a factorable quadratic

I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con

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Cambridge-style structured question: line meets a curve

I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute

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Prove command word: line does not intersect a curve

I am in SS 2. Give me a 'prove that' style question where I must show a given line never m

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Show that command word: polynomial identity

I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b

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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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Practice: A cubic with one real root and two complex ones

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o

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Practice: Negation combined with a compound statement

Act as my SS2 Further Mathematics tutor. Give me five practice questions on negation combi

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Practice: What logical equivalence means

Act as my SS2 Further Mathematics tutor. Give me five practice questions on what logical e

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Practice: Modus tollens

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Practice: A selection that must include one particular member

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a selection th

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