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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,035 prompts matching "A binary operation defined on a set of three elements"

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

Teach me the distance and midpoint formulas

Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an

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Teach me multiplying two complex numbers in the form a plus bi

You are my SS2 Further Mathematics tutor. Teach me multiplying two complex numbers in the

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Spot my mistake multiplying two complex numbers in modulus-argument form

Act as my SS2 Further Mathematics tutor. Work a question on multiplying two complex number

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Spot my mistake dividing two complex numbers in modulus-argument form

Act as my SS2 Further Mathematics tutor. Work a question on dividing two complex numbers i

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Teach me what a matrix is

Act as my SS2 Further Maths tutor. Teach me what a matrix is, including the meaning of its

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Spot my mistake finding a matrix inverse

Act as my SS2 Further Maths tutor. I found the inverse of a 2x2 matrix but I think I made

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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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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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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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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

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

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

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

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

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

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

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

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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: 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: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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

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

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

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Mark scheme walkthrough: factorising a trinomial

I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr

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