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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The difference of two squares applied to surd conjugates"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Quiz me on argument validity

Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre

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Spot my mistake testing an argument

Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth

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Teach me predicate logic basics

Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what

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Worked example: choosing a committee

Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to

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Worked example: cyclic permutation around a table

Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number

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Give me practice on permutations and combinations

Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an

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Spot my mistake in a combination problem

Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi

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Teach me probability using permutations and combinations

Act as my SS2 Further Maths tutor. Teach me how to solve probability problems using permut

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Worked example: expanding (x+y)^4 using Pascal's triangle

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin

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Teach me approximating powers using binomial expansion

Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate

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Worked example: evaluating a power using binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp

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Spot my mistake finding a specific term

Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e

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Worked example: simplifying an expression with fractional indices

Act as my SS2 Further Maths tutor. Show me a full worked example of simplifying an express

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Worked example: finding where a line meets a circle

Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig

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Quiz me on coordinate geometry basics

Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin

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Worked example: proving a trigonometric identity

Act as my SS2 Further Maths tutor. Show me a full worked example of proving a trigonometri

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Worked example: solving a quadratic trigonometric equation

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri

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Teach me arithmetic progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

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Teach me geometric progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

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Quiz me on arithmetic and geometric progressions

Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome

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