755 prompts matching "Structured question: find f^-1(x) and verify it"
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Changing the subject with a square or square root
I am in SS 1. Quiz me with 4 short Additional Maths questions on changing the subject of a
Substituting values into an algebraic expression
I am in SS 1. Teach me substituting given numerical values into an algebraic expression co
Cross-multiplying to solve an equation with fractions
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Quiz: Writing a recurring decimal as a fraction to show it is rational
Act as my SS1 Further Mathematics tutor and quiz me on writing a recurring decimal as a fr
WAEC Prep: Pi and root 2 as the two best-known irrational numbers
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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds
I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat
Spot My Mistake: Why root 8 and root 2 turn out to be similar
Act as my SS1 Further Mathematics tutor. Work a question on why root 8 and root 2 turn out
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
Learn: Simplifying root 72 into its simplest form
You are my personal SS1 Further Mathematics tutor. Teach me simplifying root 72 into its s
Common Mistakes: Expanding the product of two surd brackets
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on exp
Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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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: Solving an equation with a single square root term
You are my personal SS1 Further Mathematics tutor. Teach me solving an equation with a sin
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
WAEC Prep: Equating the rational and the irrational parts of an equation
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WAEC Prep: Writing a binary operation rule from a description in words
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Common Mistakes: A binary operation that is ordinary addition in disguise
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a b
Quiz: Testing the odd numbers for closure under addition
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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