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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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891 prompts matching "Quiz: A cubic with three distinct real roots"

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

Show that command word: sum of an arithmetic progression

I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n

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WAEC exam question: mixed AP and GP problem

I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet

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Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

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Show that command word: binomial coefficient identity

I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi

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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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Structured question: find and classify all stationary points

I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta

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Give me a full Additional Maths style Paper 1 question set

I am in SS 3. Give me a short set of five short-answer Additional Maths style Paper 1 ques

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Give me a full Additional Maths style Paper 2 structured question

I am in SS 3. Give me one long structured Additional Maths style Paper 2 question with sev

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Timed 20-minute Further Maths exam practice

I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering

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Determine command word: validity of an argument

I am in SS 3. Give me an exam question phrased 'determine whether the following argument i

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Spot my mistake in a Pascal's row truth table

I am in SS 3. I will show you my attempt at a truth table for a compound proposition with

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Find the number of ways command word: combinations

I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin

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Structured question: fully factorise x^3 + 4x^2 - 11x - 30

I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi

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WAEC exam question: two unknowns from remainder and factor conditions

I am in SS 3. Give me a WAEC-style polynomial question where a cubic has two unknown coeff

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Show that command word: a function is its own inverse

I am in SS 3. Set me a 'show that' function question where I must show a given function is

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Evaluate log5(200) using change of base

I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang

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Show that (1,2), (3,6), and (5,10) are collinear

I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,

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Give me an exam formula sheet for quadratic factorisation

I am in SS 3. Build me a short formula sheet covering every formula I need for factorising

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Give me an exam formula sheet for solving quadratics by factorisation

I am in SS 3. Build me a short formula sheet covering every formula I need for solving qua

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Give me an exam formula sheet for completing the square

I am in SS 3. Build me a short formula sheet covering every formula I need for completing

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