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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 identity that A times its adjoint gives the determinant times the identity"

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

Sum of the first n terms of a geometric series

I am in SS 1. I'm going to explain using the formula Sn = a(r^n - 1)/(r - 1) to find the s

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Simultaneous equations of a line and the coordinate axes

I am in SS 1. Teach me finding the area enclosed between a straight line and the coordinat

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Changing the subject when the variable appears twice

I am in SS 1. Teach me changing the subject of a formula where the required letter appears

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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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Explain Back: Where the surds sit on the number line

I have just studied where the surds sit on the number line in my SS1 Further Mathematics c

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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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Spot My Mistake: Dividing one surd by another

Act as my SS1 Further Mathematics tutor. Work a question on dividing one surd by another w

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Learn: Why a surd is never left in the denominator

You are my personal SS1 Further Mathematics tutor. Teach me why a surd is never left in th

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Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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Spot My Mistake: Rationalising and then cancelling a common factor

Act as my SS1 Further Mathematics tutor. Work a question on rationalising and then cancell

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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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Worked Example: Why multiplying by the conjugate clears the surd

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

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Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

Act as my SS1 Further Mathematics tutor. Work a question on simplifying the denominator on

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Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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Worked Example: Reading the symbol used for a binary operation

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

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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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Worked Example: Testing the even numbers for closure under addition

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

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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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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