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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.

3,169 prompts in this subject

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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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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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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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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Structured question: divide a cubic and state quotient and remainder

Give me a structured question where I divide a cubic polynomial by a linear factor using l

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Express in the form command word: polynomial division

Set me a question phrased 'express f(x) in the form (x-a)Q(x)+R', where I perform polynomi

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Cambridge-style layout check: polynomial long division

I will show you my full long division layout for dividing a polynomial by a linear express

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Structured question: find an unknown coefficient using the remainder theorem

Give me a structured Additional Maths question where a polynomial has an unknown coefficie

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Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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WAEC exam question: remainder theorem with two conditions

I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno

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Prove command word: factor theorem

Give me a 'prove that (x-a) is a factor' question using the factor theorem, where I must s

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Structured question: fully factorise a cubic using the factor theorem

Set me a structured question where I use the factor theorem to find one factor of a cubic,

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Find all values command word: the values of k for which x minus 2 is a factor

Give me an exam question phrased 'find all values of k for which (x-2) is a factor', using

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Structured question: solve a cubic equation fully

Give me a structured question where I factorise a cubic using the factor theorem and then

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Hence solve command word: cubic equations

Set me a 'hence solve' cubic equation question where I must use a factorisation I am given

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Sum and product of roots of a cubic exam question

Give me a Cambridge-style question asking for the sum or product of the roots of a cubic e

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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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Structured question: find fg(x) and gf(x)

Give me a structured question with two given functions f and g, asking me to find fg(x) an

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Teach me inverse functions

Teach me how to find the inverse of a function f(x), including how to state its domain cor

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