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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 "Rationalising a denominator of the form a plus root b using the conjugate"

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Worked example: find the distance between the points (1,2) and (4,6)

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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Real-life application of measures of dispersion

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Non-calculator completing the square with fractional coefficients

I am in SS 2. Set me a non-calculator completing the square question where the coefficient

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Structured question: quadratic formula with exact surd answer

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Give your answer correct to command word: quadratic formula

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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Structured question: find coordinates of intersection points

I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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

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

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WAEC Prep: A quadratic with a repeated root

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Final Revision: Why completing the square always works

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Practice: Forming an equation from a given sum and product

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Common Mistakes: A symmetric function needing the sum and product twice over

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Spot My Mistake: A pair with equal roots, meaning one solution only

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Show All Working: A simultaneous pair in which the second equation is a circle

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

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