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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,000 prompts matching "Simplifying an algebraic fraction by factorising first"

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: solving quadratics by factorisation

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations to solve by facto

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Find the value of k for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's

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Worked example: dividing a cubic by a linear polynomial

Act as my SS2 Further Maths tutor. Show me a complete worked example of dividing a cubic p

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Quiz me on polynomial division by a quadratic divisor

Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di

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Divide a polynomial by a quadratic

Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de

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Quiz me on the finding the remainder when a cubic is divided by a linear factor

Act as my SS2 Further Mathematics tutor and quiz me on finding the remainder when a cubic

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Quiz me on the factorising a cubic with the factor theorem

Act as my SS2 Further Mathematics tutor and quiz me on factorising a cubic with the factor

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Quiz me on converse and inverse

Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as

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Teach me approximating powers using binomial expansion

Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate

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Worked example: finding a term in an arithmetic progression

Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter

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Teach me adding and subtracting complex numbers

Act as my SS2 Further Maths tutor. Teach me how to add and subtract complex numbers by com

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Teach me dividing complex numbers by rationalising with the conjugate

You are my SS2 Further Mathematics tutor. Teach me dividing complex numbers by rationalisi

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Teach me adding and subtracting matrices

Act as my SS2 Further Maths tutor. Teach me how to add and subtract matrices of the same o

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Worked example: solving simultaneous equations using matrices

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

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Spot my mistake multiplying a two by two matrix by a two by one matrix

Act as my SS2 Further Mathematics tutor. Work a question on multiplying a two by two matri

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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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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT 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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