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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: converse and inverse of a statement

Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a

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Quiz me on converse and inverse

Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as

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Explain converse and inverse back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th

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Teach me the binomial expansion formula

Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c

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Worked example: expanding (2x-3)^5 using the binomial formula

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi

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Worked example: finding the middle term of a binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter

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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 in a binomial expansion

Act as my SS2 Further Maths tutor. I expanded a binomial expression but I think I used the

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Worked example: solving an equation with logarithms to the same base

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on solvin

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Summarise polynomials and the remainder/factor theorems for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise trigonometric identities and equations for quick revision

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Test me under exam conditions on the binomial theorem

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on th

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Give me common mistakes students make in polynomials and the remainder/factor theorems

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Give me common mistakes students make in trigonometric identities and equations

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome

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