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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 sum of an arithmetic progression with a negative common difference"

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Help me plan my WAEC Further Mathematics exam preparation

Act as my SS2 Further Maths tutor. Help me create a weekly study plan for the next month t

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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 where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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 where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Worked example: find the distance between the points (1,2) and (4,6)

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Worked example: find the inverse of [[2,1],[5,3]]

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

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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

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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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Real-life application of completing the square

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where comple

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Real-life application of the quadratic formula

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Real-life application of the remainder theorem

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Real-life application of the binomial theorem

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Real-life application of sequences and series

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sequen

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Real-life application of the factor theorem

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Structured question: quadratic formula with exact surd answer

I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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