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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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861 prompts matching "Explain why a complex number times its conjugate is real"

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

IGCSE Additional Maths Y11: An area found by splitting the region in two — Spot My Mistake

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Work a question on an

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Worked example: simplify (3+2i) + (1-5i)

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

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Worked example: simplify (2+i)(3-4i)

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Worked example: simplify (4+3i)/(1-2i)

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Worked example: find the modulus and argument of 3+4i

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Worked example: how many ways can 5 books be arranged on a shelf

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Worked example: how many ways can a president and secretary be chosen from 8 people

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Worked example: how many ways can a committee of 4 be chosen from 10 people

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Worked example: in how many ways can 6 people be seated around a circular table

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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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Give me practice with the quadratic formula

Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve using

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Find sum and product of roots of 2x^2 - 5x + 3 = 0

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Find sum and product of roots of x^2 + 4x - 12 = 0

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Find sum and product of roots of 3x^2 + 7x - 6 = 0

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Find sum and product of roots of x^2 - 8x + 15 = 0

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Quiz me on line and curve intersection conditions

Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and

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Teach me biconditional propositions

Act as my SS2 Further Maths tutor. Teach me what a biconditional proposition is, using the

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Teach me conditionals versus tautologies

Act as my SS2 Further Maths tutor. Teach me the difference between a conditional statement

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Quiz me on tautologies

Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t

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Quiz me on argument validity

Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre

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