1,016 prompts matching "An element with no inverse under a given operation"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Worked example: expand (x+2)^5 fully using the binomial theorem
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
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: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Give me a 5-minute recap of converse and inverse propositions
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of converse and inverse
Non-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
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
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Non-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Quiz: Finding the sum and the product without solving the equation
Act as my SS2 Further Mathematics tutor and quiz me on finding the sum and the product wit
Practice: Forming an equation from a given sum and product
Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ
Common Mistakes: Roots that are reciprocals of one another
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Spot My Mistake: A pair with equal roots, meaning one solution only
Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani
Common Mistakes: A line and a curve meeting once without the line being a tangent
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Show All Working: Adding and subtracting two polynomials
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on adding and subt
Common Mistakes: Multiplying one polynomial by another
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on mul
Show All Working: A remainder of nought, and what it means
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a remainder of
Common Mistakes: Factorising fully, and knowing when to stop
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on fac
Practice: A cubic with one real root and two complex ones
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o