755 prompts matching "Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360"
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Factorising the sum and difference of two cubes
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on fact
Solving a linear inequality and showing the solution
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
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
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
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
Act as my SS1 Further Mathematics tutor and quiz me on reducing two surds to the same root
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
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on adding
Quiz: Subtracting one surd from another
Act as my SS1 Further Mathematics tutor and quiz me on subtracting one surd from another.
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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Common Mistakes: A surd equation that has no real solution
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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