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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 three forms of the double angle formula for cosine"

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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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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Teach me the universal and existential quantifiers

Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie

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Teach me Writing out Pascal's triangle row by row

You are my SS2 Further Mathematics tutor. Teach me writing out Pascal's triangle row by ro

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Worked example: expanding (x+y)^4 using Pascal's triangle

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin

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Give me practice on the binomial theorem

Act as my SS2 Further Maths tutor. Give me eight practice questions covering Pascal's tria

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Test me under exam conditions on polynomials and the remainder/factor theorems

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

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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 measures of dispersion

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Quiz me on the whole term's Further Maths topics

Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co

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Simplify the surd expression sqrt(72) + sqrt(18)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18

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Simplify the surd expression sqrt(50) - sqrt(8)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra

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Simplify the surd expression (2+sqrt5)^2

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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

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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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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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WAEC exam question: symmetric functions of roots

I am in SS 2. Give me a WAEC-style Further Maths question asking for alpha^3+beta^3 or (al

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Structured question: find coordinates of intersection points

I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th

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