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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,327 prompts matching "Real-life application of the condition for a line to be tangent to a curve"

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

Function notation applied to a real-world formula

I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu

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Finding f(x) given a description of the function rule

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

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Structured question: equation of a line through two points

I am in SS 3. Give me a structured question where I find the equation of a straight line t

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Give me an exam formula sheet for linear-quadratic simultaneous equations

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

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Spot my mistake: checking each line of a trigonometric identity proof

I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f

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Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on what a

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Explain Back: Showing that a system of concurrent forces is in equilibrium

I have just studied showing that a system of concurrent forces is in equilibrium in my SS3

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Practice: Why complex roots of a real quadratic come in conjugate pairs

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro

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Show all working: the determinant of a three by three matrix

You are my SS3 Further Mathematics tutor. Teach me the determinant of a three by three mat

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Teach me how to find the writing the inverse of a two by two matrix with the adjugate

You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat

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Show All Working: Expressing a number in the form a root b

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing

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Common Mistakes: Proving that a quadratic expression is positive for every real x

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Show All Working: The half angle formulae and the t-substitution

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on the half a

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Final Revision: The perpendicular distance from a point to a line

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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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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Structured question: intersection of a line and a circle

I am in SS 3. Give me a structured question where I substitute a line's equation into a ci

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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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Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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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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