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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 "The effect on the standard deviation of adding a constant to every value"

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

Worked example: expanding (x+y)^4 using Pascal's triangle

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin

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Spot my mistake finding a specific term

Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e

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Teach me how to simplify surds

Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s

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Worked example: finding where a line meets a circle

Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig

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Explain coordinate geometry back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to find the equation o

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Spot my mistake differentiating a polynomial

Act as my SS2 Further Maths tutor. I differentiated a polynomial function but I think I ma

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Teach me what a complex number is

Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin

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Worked example: solving a quadratic with complex roots

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq

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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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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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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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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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Find k command word: line tangent to a curve

I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh

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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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Show that command word: polynomial identity

I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b

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Show All Working: A quadratic whose two roots are both negative

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

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Show All Working: Roots equal in magnitude but opposite in sign

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

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Learn: Factorising a cubic into three linear factors

You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three

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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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