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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 decimal expansion of an irrational number, and why it never repeats"

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

Use the quadratic formula on x^2 - 2x - 2 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 2x - 2 = 0 usin

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Use the quadratic formula on 4x^2 - 4x - 3 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 4x^2 - 4x - 3 = 0 usi

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Use the quadratic formula on x^2 + x - 1 = 0

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Quiz me on checking both pairs of solutions of a linear-quadratic pair

Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac

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Worked example: is this line tangent to this curve

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Worked example: using the factor theorem to factorise a cubic

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Spot my mistake using the remainder theorem

Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I

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Teach me the truth table for negation

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation

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Teach me the truth table for conjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti

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Teach me the truth table for disjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti

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Quiz me on when a conjunction of three statements is true

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Worked example: testing an argument for validity

Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic

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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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Explain the binomial theorem back to me

Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to

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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 a term in an arithmetic progression

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Give me practice on complex numbers

Act as my SS2 Further Maths tutor. Give me eight practice questions on complex numbers, in

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Spot my mistake multiplying two complex numbers in modulus-argument form

Act as my SS2 Further Mathematics tutor. Work a question on multiplying two complex number

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Spot my mistake dividing two complex numbers in modulus-argument form

Act as my SS2 Further Mathematics tutor. Work a question on dividing two complex numbers i

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Explain complex numbers back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words what a complex number is a

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