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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 "Why the probabilities in a distribution must sum to one"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Quiz me on arranging objects round a circle when two must sit together

Act as my SS2 Further Mathematics tutor and quiz me on arranging objects round a circle wh

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

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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Spot My Mistake: Factorising the sum of two cubes

Act as my SS2 Further Mathematics tutor. Work a question on factorising the sum of two cub

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Explain why Further Maths topics connect to each other

Act as my SS2 Further Maths tutor. Explain to me how the topics I've studied so far, like

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Give me practice on probability using combinatorics

Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be

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Quiz me on completing the square to find a turning point

Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve

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Why does completing the square work

Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work

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Teach me writing the sum and product of the roots from the coefficients

You are my SS2 Further Mathematics tutor. Teach me writing the sum and product of the root

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Explain sum and product of roots back to me

Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back

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Teach me how to determine the validity of an argument

Act as my SS2 Further Maths tutor. Teach me how to determine whether a logical argument is

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Spot my mistake in a combinatorial probability problem

Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi

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Explain combinatorial probability back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to set up a probabilit

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Worked example: sum to infinity of a geometric series

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the sum to inf

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Summarise the binomial theorem for quick revision

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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

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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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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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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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