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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Range of a simple function from its graph or values"

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

Simplify the surd expression (3+sqrt2)(3-sqrt2)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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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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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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Teach me solving quadratic inequalities

Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a

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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: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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Common Mistakes: Writing down the roots once the brackets are found

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Quiz: Completing the square on x squared plus 6x

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Common Mistakes: Checking a completed square by expanding it again

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Quiz: Finding the sum and the product without solving the equation

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Final Revision: One root twice the other, and what that gives

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Final Revision: Checking both solutions in both equations

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Quiz: The leading term and the constant term

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Common Mistakes: Multiplying one polynomial by another

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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: The remainder on dividing by x plus 2

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Quiz: A cubic with three distinct real roots

Act as my SS2 Further Mathematics tutor and quiz me on a cubic with three distinct real ro

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