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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Finding the common ratio when the third and sixth terms are given"

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

Learn: Hooke's law, and what the modulus of elasticity means

You are my personal SS3 Further Mathematics tutor. Teach me Hooke's law, and what the modu

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Practice: The difference between an elastic string and a spring in compression

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference

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Common Mistakes: A particle oscillating on the end of an elastic string

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Quiz me on 2x2 and 3x3 determinants together

Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te

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GP with 3rd term 18 and 6th term 486: find a and r

I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18

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Structured question: two quadratics sharing a common root

I am in SS 3. Give me a structured question where two quadratic equations are given and I

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Quiz: Finding an unknown entry from a stated matrix equation

Act as my SS3 Further Mathematics tutor and quiz me on finding an unknown entry from a sta

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Spot My Mistake: Finding two unknown tensions from three forces in equilibrium

Act as my SS3 Further Mathematics tutor. Work a question on finding two unknown tensions f

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Multi-part matrix question: add then multiply

Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul

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Explain the rule of signs for determinants

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

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Solve a 3x3 system using the inverse matrix method #1

Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding

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Position vectors and displacement between points #4

I am in SS 3. Give me a vectors problem where I have a point dividing a line AB in a given

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Quiz: Testing a binary operation for commutativity

Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm

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Quiz: Finding alpha cubed plus beta cubed

Act as my SS3 Further Mathematics tutor and quiz me on finding alpha cubed plus beta cubed

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Spot my mistake: Using an equation of constant acceleration on a body whose acceleration is changing

Act as my SS3 Further Mathematics tutor. Write a short answer on using an equation of cons

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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AP with 3rd term 11 and 8th term 31: find a and d

I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1

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