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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 "A word problem about seats in the rows of a hall"

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 (2+sqrt5)^2

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra

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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 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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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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Give your answer correct to command word: quadratic formula

I am in SS 2. Set me a quadratic formula question that says 'giving your answers correct t

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Discriminant classification exam question

I am in SS 2. Give me a short structured question where I must use the discriminant to sta

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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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Spot my mistake in a quadratic inequality solution

I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether

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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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Worked Example: Factorising a quadratic whose leading coefficient is not one

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor

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Practice: Factorising a quadratic with a common factor taken out first

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Spot My Mistake: Solving a quadratic that must be rearranged before factorising

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Practice: Forming an equation from a given sum and product

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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

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Spot My Mistake: A polynomial written in descending powers

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Worked Example: The division algorithm for polynomials

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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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Practice: A division that leaves no remainder

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha

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Spot My Mistake: A division that leaves a linear remainder

Act as my SS2 Further Mathematics tutor. Work a question on a division that leaves a linea

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