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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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883 prompts matching "Proving that a quadratic expression is positive for every real x"

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

Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Real-life application of quadratic equations

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where quadra

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Real-life application of the condition for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co

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Multi-part exam question on factorising trinomials

I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks

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Mark scheme walkthrough: factorising a trinomial

I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr

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Hence solve command word: quadratic equations

I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where

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Spot the examiner's trick in a factorisation question

I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a

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Discriminant classification exam question

I am in SS 2. Give me a short structured question where I must use the discriminant to sta

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Find the range of values command word: quadratic inequality

I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'

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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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Common command word mistakes SS2 students make

Tell me the most common mistakes SS2 Further Maths students make when responding to comman

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Worked Example: Substituting into the quadratic and tidying up

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Show All Working: A simultaneous pair in which the second equation is a circle

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous

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Show All Working: Synthetic division as a shorter route

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on synthetic divis

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Worked Example: Testing a list of candidates to find a factor

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Learn: Factorising a cubic into three linear factors

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Show All Working: Factorising a polynomial with fractional roots

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on factorising a p

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Learn: Solving a cubic once it has been factorised

You are my personal SS2 Further Mathematics tutor. Teach me solving a cubic once it has be

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Show All Working: Solving a cubic that must first be rearranged

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on solving a cubic

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