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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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998 prompts matching "Simplifying an algebraic fraction with index rules"

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

Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

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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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Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

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Cambridge-style question: quadratic formula derivation

I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq

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Quiz me on quadratic inequalities

I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu

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Structured question: classify a line-curve relationship

I am in SS 2. Give me three short parts, each with a different line and the same curve, as

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Learn: Factorising a quadratic whose coefficient of x squared is one

You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose

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Quiz: Factorising a difference of two squares in order to solve it

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Learn: Making the coefficient of x squared equal to one first

You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq

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Quiz: Completing the square on x squared plus 6x

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

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WAEC Prep: The minimum value of a quadratic found by completing the square

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Learn: Deriving the quadratic formula by completing the square

You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula

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Quiz: A negative value of b in the quadratic formula

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Learn: The sum of the roots as minus b over a

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