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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,206 prompts matching "Explaining why sum to infinity only works for |r| < 1"

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

Find the resultant of several concurrent forces #2

Give me a problem with four concurrent forces acting on a ring, each given with magnitude

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Find the resultant of several concurrent forces #3

I am in SS 3. Give me a problem with three forces of 6N, 8N and 10N meeting at a single po

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Spot my mistake resolving a force

I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component

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Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

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WAEC past-question practice: coplanar forces #2

I am in SS 3. Set me a WAEC-style question on resolving a force into horizontal and vertic

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Explain the conditions for equilibrium of a rigid body

I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu

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Show all working: complex number equation question

I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring me to so

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Worked example: binomial distribution problem

I am in SS 3. Show me one fully worked binomial probability example step by step, then giv

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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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Teach me resolving forces on an inclined plane

I am in SS 3. Teach me how to resolve forces along and perpendicular to an inclined plane,

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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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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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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab

You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def

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Worked Example: Testing whether a binary operation is closed on a given set

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

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Practice: Testing a binary operation for associativity

Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina

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Learn: The multiplication and division laws of indices used together

You are my personal SS3 Further Mathematics tutor. Teach me the multiplication and divisio

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

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

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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: The discriminant, and what each of its three cases means

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

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

Act as my SS3 Further Mathematics tutor. Work a question on forming a new equation whose r

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