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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,320 prompts matching "The minimum value of a quadratic found by completing the square"

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

Find the moment of a force about a point #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Structured question: quadratic word problem about a thrown ball

I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro

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Structured question: two quadratics sharing a common root

I am in SS 3. Give me a structured question where two quadratic equations are given and I

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Evaluating a function at a given value

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Evaluating a function at a negative value

I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(

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Domain of a simple algebraic function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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Showing that fg(x) is not the same as gf(x)

I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec

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Domain and range of an inverse function

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

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Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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Solving f(x) = a given value

I am in SS 3. Quiz me with 4 short Additional Maths questions on solving an equation of th

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Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

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Cambridge-style question: change of base formula

I am in SS 3. Give me an Additional Maths question requiring the change of base formula to

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Solve for command word: quadratic trigonometric equation

I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,

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Structured question: use binomial expansion to approximate a value

I am in SS 3. Give me a structured question where I expand a binomial expression and then

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Choose your own method command word: solving a quadratic

I am in SS 3. Give me a quadratic equation and ask me to solve it by whichever method I th

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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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Find the tangent to y = x^2 - 4x + 7 at x = 3

I am in SS 3. Give me the curve y = x^2 - 4x + 7 as a structured question: find the gradie

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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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