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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,025 prompts matching "Show that command word: line is tangent to a circle"

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

Spot my mistake finding a tangent condition

Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w

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Teach me what a tautology is

Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi

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Worked example: proving a statement is a tautology

Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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

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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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Word problem leading to a factorable quadratic

I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con

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Common Mistakes: A sign error in the formula, and how to catch it

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

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Common Mistakes: Roots that are reciprocals of one another

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

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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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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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Practice: A division that leaves no remainder

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha

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Explain Back: A division that leaves a constant remainder

I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat

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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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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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Common Mistakes: Using the factor theorem before dividing

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Common Mistakes: Factorising fully, and knowing when to stop

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

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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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Common Mistakes: Translating a symbolic statement back into English

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Show All Working: The distributive laws in logic

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

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