755 prompts matching "Complete the square for x^2 + 6x + 5 = 0"
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Factorising a quadratic with a coefficient in front of x squared
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on fact
Practice: Deciding whether root 16 is rational or irrational
Act as my SS1 Further Mathematics tutor. Give me five practice questions on deciding wheth
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
Quiz: Reducing two surds to the same root in order to compare them
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Learn: Simplifying root 72 into its simplest form
You are my personal SS1 Further Mathematics tutor. Teach me simplifying root 72 into its s
Worked Example: Adding two surds that simplify to the same root
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Quiz: Subtracting one surd from another
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Spot My Mistake: Dividing one surd by another
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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
Practice: Rationalising a denominator with a whole number multiplying the surd
Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising
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
Learn: The conjugate of a compound surd expression
You are my personal SS1 Further Mathematics tutor. Teach me the conjugate of a compound su
Worked Example: Why multiplying by the conjugate clears the surd
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Quiz: Checking a surd equation for extraneous roots
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Final Revision: A word problem that leads to an equation in surd form
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Learn: What closure means for a binary operation
You are my personal SS1 Further Mathematics tutor. Teach me what closure means for a binar
Practice: Testing a set for closure under multiplication
Act as my SS1 Further Mathematics tutor. Give me five practice questions on testing a set
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
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