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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 that leads to an indicial equation"

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 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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Non-calculator paper: factorise and simplify a fraction

Set me a non-calculator Additional Maths style question where I must factorise both the nu

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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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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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Prove command word: line does not intersect a curve

I am in SS 2. Give me a 'prove that' style question where I must show a given line never m

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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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Worked Example: Substituting a, b and c into the quadratic formula correctly

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

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Worked Example: The identity linking alpha squared plus beta squared to the 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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Final Revision: Using a symmetric function to find an unknown coefficient

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Worked Example: Substituting into the quadratic and tidying up

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Practice: The condition for the line to be a tangent

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the condition

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WAEC Prep: Expressions that are not polynomials, and why not

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Worked Example: Testing a list of candidates to find a factor

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Final Revision: Checking a factorisation by expanding it again

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Show All Working: Solving a cubic that must first be rearranged

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on solving a cubic

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Practice: Circular arrangements with two people together

Act as my SS2 Further Mathematics tutor. Give me five practice questions on circular arran

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Quiz: Expanding a bracket to the power four using Pascal's triangle

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