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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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1,008 prompts matching "Using change of base to prove a stated relation"

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

Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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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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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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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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Common Mistakes: Writing down the roots once the brackets are found

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on wri

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Common Mistakes: Checking a completed square by expanding it again

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che

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Final Revision: Why completing the square always works

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

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Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

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Final Revision: A word problem solved with the quadratic formula

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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Final Revision: One root twice the other, and what that gives

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of o

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Learn: What makes an expression in the roots symmetric

You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression in th

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Common Mistakes: A symmetric function needing the sum and product twice over

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s

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Common Mistakes: A word problem giving one linear and one quadratic equation

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w

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Final Revision: Checking both solutions in both equations

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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Learn: Forming the quadratic that decides where a line meets a curve

You are my personal SS2 Further Mathematics tutor. Teach me forming the quadratic that dec

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Common Mistakes: A line and a curve meeting once without the line being a tangent

Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a l

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Final Revision: A word problem about a line and a parabola

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a

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