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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 "Structured question: surd equation with a solution to reject"

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Explain trigonometric identities back to me

Act as my SS2 Further Maths tutor. I'll explain the Pythagorean trigonometric identity and

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Worked example: sum to infinity of a geometric series

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Explain arithmetic and geometric progressions back to me

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Explain differentiation back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to differentiate a pol

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Explain matrices back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to multiply matrices a

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Worked example: finding the angle between two vectors

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

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Spot my mistake finding a vector's magnitude

Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma

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Explain vectors back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to add vectors and fin

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Explain standard deviation back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words what standard deviation me

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Summarise polynomials and the remainder/factor theorems for quick revision

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Summarise vectors for quick revision

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Worked example: find the magnitude of the vector (3,4)

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

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

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Worked example: find the unit vector in the direction of (6,8)

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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

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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4

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

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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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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

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Real-life application of probability using combinatorics

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

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Real-life application of vectors

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