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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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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

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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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'

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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

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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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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

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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

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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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

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Practice: Forming an equation from a given sum and product

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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

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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

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Common Mistakes: Multiplying one polynomial by another

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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

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Common Mistakes: Factorising fully, and knowing when to stop

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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

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