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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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458 prompts matching "Solving a cubic that must first be rearranged"

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: 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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WAEC Prep: Pi and root 2 as the two best-known irrational numbers

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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Worked Example: Adding two surds that simplify to the same root

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Show All Working: Simplifying a surd expression that contains brackets

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on simplifying a s

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Worked Example: Rationalising a denominator that is a single surd

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

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Worked Example: Squaring both sides safely when solving a surd equation

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Common Mistakes: A surd equation that has no real solution

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Final Revision: A word problem that leads to an equation in surd form

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Common Mistakes: A binary operation that is ordinary addition in disguise

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Worked Example: Testing the even numbers for closure under addition

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Quiz: Testing the odd numbers for closure under addition

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Final Revision: Why closure is checked before any other property

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Learn: What it means for an operation to be commutative

You are my personal SS1 Further Mathematics tutor. Teach me what it means for an operation

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Explain Back: What it means for an operation to be associative

I have just studied what it means for an operation to be associative in my SS1 Further Mat

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WAEC Prep: An operation that is commutative but not associative

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Show All Working: An operation that is associative but not commutative

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