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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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910 prompts matching "vectors and complex numbers mixed"

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: 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: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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

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Practice: A cubic with one real root and two complex ones

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o

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IGCSE Additional Maths Y11: Equal vectors, and parallel vectors — IGCSE Exam Practice

I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a past-paper-st

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

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

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Spot my mistake with sum and product of roots

Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5

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Teach me the number of arrangements of n distinct objects

You are my SS2 Further Mathematics tutor. Teach me the number of arrangements of n distinc

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Give me practice on permutations and combinations

Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an

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Explain arithmetic and geometric progressions back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr

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Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

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Teach me what a vector is

Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,

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Teach me the dot product of two vectors

Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector

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Quiz me on vector operations

Act as my SS2 Further Maths tutor. Quiz me with four questions on adding, subtracting, and

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Give me practice on vectors

Act as my SS2 Further Maths tutor. Give me six practice questions on vector addition, magn

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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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Worked example: standard deviation of a small data set

Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian

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Summarise vectors 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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Test me under exam conditions on vectors

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

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Give me a full mixed revision test

Act as my SS2 Further Maths tutor. Give me a mixed revision test of ten short questions co

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