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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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972 prompts matching "Showing that AB and BA are usually different for 2 by 2 matrices"

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

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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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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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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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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Learn: The sum of the roots as minus b over a

You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus

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Show All Working: Roots equal in magnitude but opposite in sign

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

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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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Learn: Making one unknown the subject of the linear equation

You are my personal SS2 Further Mathematics tutor. Teach me making one unknown the subject

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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: The point of contact when a line touches a curve

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the point of co

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Learn: What makes an expression a polynomial

You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol

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Common Mistakes: Multiplying one polynomial by another

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

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Learn: Setting out the division of a cubic by a linear expression

You are my personal SS2 Further Mathematics tutor. Teach me setting out the division of a

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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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Learn: The statement of the remainder theorem

You are my personal SS2 Further Mathematics tutor. Teach me the statement of the remainder

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Common Mistakes: The remainder theorem applied to a quartic

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

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Learn: The statement of the factor theorem

You are my personal SS2 Further Mathematics tutor. Teach me the statement of the factor th

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Common Mistakes: Using the factor theorem before dividing

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

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Learn: Factorising a cubic into three linear factors

You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three

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