755 prompts matching "Practice: Finding the third root of a cubic when two are known"
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Explain Back: Multiplying root a by root b
I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let
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
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
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
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
Show All Working: A conjugate where the surd term comes first
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on a conjugate whe
Worked Example: Squaring both sides safely when solving a surd equation
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari
Practice: Solving an equation with a surd on each side
Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving an equ
Practice: A binary operation set out as a table
Act as my SS1 Further Mathematics tutor. Give me five practice questions on a binary opera
Final Revision: Deciding whether a given rule really is a binary operation
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Quiz: Testing the odd numbers for closure under addition
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Practice: Testing a set for closure under multiplication
Act as my SS1 Further Mathematics tutor. Give me five practice questions on testing a set
Common Mistakes: Closure on a set of three elements under a stated rule
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Final Revision: Why closure is checked before any other property
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Practice: An operation that is not commutative, with a counter-example
Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t
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
Practice: Multiplication distributing over addition in ordinary arithmetic
Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication
Common Mistakes: Distributivity on a set of three elements
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Final Revision: Why distributivity links two operations rather than one
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Practice: Why an identity element must work from both sides
Act as my SS1 Further Mathematics tutor. Give me five practice questions on why an identit