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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,278 prompts matching "Find sum and product of roots of x^2 - 8x + 15 = 0"

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

Explain-back: equilibrium of a rigid body

I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri

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Worked example: finding the argument in the correct quadrant

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

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Quiz me: vectors and complex numbers mixed

I am in SS 3. Quiz me with one vector magnitude question and one complex number modulus qu

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Show all working: mixed matrices and determinants exam question

I am in SS 3. Give me a Cambridge Additional Mathematics style multi-part question combini

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Teach me the normal distribution standardisation formula

I am in SS 3. Teach me how and why we standardise a normal random variable using z = (X -

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Teach me integration by recognising the reverse of differentiation

I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin

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WAEC Further Mathematics: vectors and geometry combined question

I am in SS 3. Give me a WAEC Further Mathematics style question combining position vectors

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Worked Example: The intersection of two overlapping sets

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the in

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Explain Back: The symmetric difference of two sets

I have just studied the symmetric difference of two sets in my SS3 Further Mathematics cla

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Worked Example: Collecting like surds in a single sum

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Quiz: Multiplying two surds and simplifying the result

Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Practice: Converting between index form and logarithm form

Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet

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Worked Example: Finding one over alpha plus one over beta

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

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Explain Back: Finding alpha squared beta plus alpha beta squared

I have just studied finding alpha squared beta plus alpha beta squared in my SS3 Further M

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Quiz: The factor theorem, and testing whether x minus a is a factor

Act as my SS3 Further Mathematics tutor and quiz me on the factor theorem, and testing whe

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

I have just studied finding an unknown coefficient given that a stated factor divides the

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Explain Back: Forming a cubic equation whose three roots are given

I have just studied forming a cubic equation whose three roots are given in my SS3 Further

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

You are my personal SS3 Further Mathematics tutor. Teach me solving a linear inequality, a

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Worked Example: The number of arrangements of n different objects in a row

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the nu

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