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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 "Closure on a set of three elements under a stated rule"

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

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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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must

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Practice: Working through a quadratic by completing the square, step by step

Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug

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Spot My Mistake: Completing the square when the roots are not real

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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Practice: Giving the roots correct to two decimal places

Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo

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Spot My Mistake: What the formula gives when the discriminant is nought

Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th

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Spot My Mistake: A polynomial written in descending powers

Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen

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Quiz: Dividing a quartic by a quadratic

Act as my SS2 Further Mathematics tutor and quiz me on dividing a quartic by a quadratic.

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Quiz: Which values are worth testing as factors

Act as my SS2 Further Mathematics tutor and quiz me on which values are worth testing as f

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Spot My Mistake: The factor theorem applied to a quartic

Act as my SS2 Further Mathematics tutor. Work a question on the factor theorem applied to

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