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Senior Secondary

Further Mathematics

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458 prompts matching "Solving a cubic that must first be rearranged"

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Practice: Collecting similar surds in an expression

Act as my SS1 Further Mathematics tutor. Give me five practice questions on collecting sim

Show All Working: Deciding whether two given surds are equal without a calculator

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

Common Mistakes: Expressing root 50 as a multiple of root 2

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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

Quiz: Subtracting one surd from another

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Spot My Mistake: Dividing one surd by another

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Common Mistakes: Expanding the product of two surd brackets

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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

Quiz: Rationalising a denominator of the form one over root 3

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Spot My Mistake: Rationalising and then cancelling a common factor

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Show All Working: Checking a rationalised answer by decimal approximation

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Common Mistakes: Rationalising a denominator of the form root a over root b

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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

Quiz: Rationalising a denominator of the form one over 2 plus root 3

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

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Common Mistakes: Rationalising when both terms of the denominator are surds

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Quiz: Checking a surd equation for extraneous roots

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Show All Working: Finding a and b when a plus b root 2 equals a given surd

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on finding a and b

Learn: What a binary operation actually is

You are my personal SS1 Further Mathematics tutor. Teach me what a binary operation actual

Quiz: Evaluating a*b from a given rule

Act as my SS1 Further Mathematics tutor and quiz me on evaluating a*b from a given rule. A

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