1,045 prompts matching "Why a rational number added to an irrational one stays irrational"
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Worked example: construct the truth table for (p AND q) OR (NOT p)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Real-life application of probability using combinatorics
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where probab
Real-life application of sequences and series
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sequen
Real-life application of vectors
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where vector
Real-life application of sum and product of roots
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sum an
Real-life application of the factor theorem
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the fa
Real-life application of testing the validity of an argument
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin
Cambridge-style structured question: factorise x^2 + 9x + 20
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise x^2 - 11x + 24
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise x^2 + 3x - 28
Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^
Cambridge-style structured question: factorise 2x^2 + 9x + 4
Set me a Cambridge Additional Maths structured question that says 'Factorise completely 2x
Cambridge-style structured question: factorise 3x^2 - 11x + 6
Set me a Cambridge Additional Maths structured question that says 'Factorise completely 3x
Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
Non-calculator completing the square with fractional coefficients
I am in SS 2. Set me a non-calculator completing the square question where the coefficient
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta