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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,014 prompts matching "A singular matrix, and why it has no inverse"

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: 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: 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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Quiz me on trigonometric identities

Act as my SS2 Further Maths tutor. Quiz me with four trigonometric identities that I must

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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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Explain arithmetic and geometric progressions back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr

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Create a revision plan for logarithms and indices

Act as my SS2 Further Maths tutor. Help me create a short revision plan for logarithms and

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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 logarithms and indices 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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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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Test me under exam conditions on logarithms and indices

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

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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 logarithms and indices

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

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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

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 100 and common ratio 0.5, find the sum to infinity

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

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

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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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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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Give me a 5-minute recap of propositions and compound statements

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of propositions and comp

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Prove command word: line does not intersect a curve

I am in SS 2. Give me a 'prove that' style question where I must show a given line never m

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