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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "The chain rule for a function of a function"

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

Deriving the geometric series sum formula

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on how

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Finding the first term or common difference from the sum formula

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on rear

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Sum of the first n odd numbers

I am in SS 1. Quiz me with 4 short Additional Maths questions on proving and using the fac

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Finding the equation of a line parallel to the x-axis or y-axis through a point

I am in SS 1. I'm going to explain finding the equation of a line through a given point th

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Finding the equation of a circle from its centre and radius

I am in SS 1. Teach me finding the equation of a circle in the form (x-a)^2 + (y-b)^2 = r^

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Worked Example: Why the square root of a non-square whole number is irrational

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

Act as my SS1 Further Mathematics tutor. Work a question on the decimal expansion of an ir

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Learn: The conjugate of a compound surd expression

You are my personal SS1 Further Mathematics tutor. Teach me the conjugate of a compound su

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Final Revision: Deciding whether a given rule really is a binary operation

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of d

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Common Mistakes: Closure on a set of three elements under a stated rule

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on clo

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Worked Example: Testing a*b against b*a for a given rule

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on testin

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Learn: What it means for one operation to distribute over another

You are my personal SS1 Further Mathematics tutor. Teach me what it means for one operatio

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on findin

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Spot My Mistake: Finding the inverse of a given element

Act as my SS1 Further Mathematics tutor. Work a question on finding the inverse of a given

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Learn: The definition of a logarithm as the index

You are my personal SS1 Further Mathematics tutor. Teach me the definition of a logarithm

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Spot My Mistake: The logarithm of the base itself

Act as my SS1 Further Mathematics tutor. Work a question on the logarithm of the base itse

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Final Revision: The characteristic and the mantissa of a logarithm

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of t

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Spot My Mistake: Evaluating an expression using the laws of logarithms

Act as my SS1 Further Mathematics tutor. Work a question on evaluating an expression using

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Practice: The relation between log a of b and log b of a

Act as my SS1 Further Mathematics tutor. Give me five practice questions on the relation b

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Worked Example: Writing out the terms of a sequence from its nth term

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on writin

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