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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Express 2x^2 - 8x + 3 in completed-square form"

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Expanding and simplifying with negative brackets

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on expa

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Factorising by taking out a common factor

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Simplifying a complex algebraic fraction

I am in SS 1. Teach me simplifying a 'fraction within a fraction' algebraic expression by

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Solving a linear inequality and showing the solution

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Solving a double inequality

I am in SS 1. Quiz me with 5 short Additional Maths questions on solving a double inequali

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Solving simultaneous linear equations by substitution

I am in SS 1. I'm going to explain solving a pair of simultaneous linear equations by the

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Changing the subject when the variable appears twice

I am in SS 1. Teach me changing the subject of a formula where the required letter appears

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Cross-multiplying to solve an equation with fractions

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Algebraic long division of a simple polynomial by a linear factor

I am in SS 1. Quiz me with 4 short Additional Maths questions on dividing a simple cubic e

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Quiz me rapid-fire on expanding and factorising

I am in SS 1. I'm going to explain a rapid-fire quiz alternating between expanding a brack

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Common sign errors in algebraic manipulation

Show me a fully worked Cambridge/Additional Maths style solution to a question on the most

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Worked Example: Why the square root of a non-square whole number is irrational

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Learn: The conjugate of a compound surd expression

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Learn: The change of base formula

You are my personal SS1 Further Mathematics tutor. Teach me the change of base formula fro

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Quiz: The formula for the nth term of an arithmetic progression

Act as my SS1 Further Mathematics tutor and quiz me on the formula for the nth term of an

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Learn: The formula for the sum of the first n terms of an arithmetic progression

You are my personal SS1 Further Mathematics tutor. Teach me the formula for the sum of the

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Worked Example: The alternative sum formula that uses the last term

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Quiz: The formula for the nth term of a geometric progression

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Learn: The formula for the sum of the first n terms of a geometric progression

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Worked Example: Which form of the sum formula to use when r is less than one

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