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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,170 prompts matching "Practice: Testing a set for closure under multiplication"

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

WAEC past-question practice: determinants #2

I am in SS 3. Set me a WAEC-style question that uses Cramer's rule to solve a pair of simu

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Explain the triangle of forces method

Explain how the triangle of forces method finds a resultant, and compare it with the paral

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Find the moment of a force about a point #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

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Teach me equilibrium of forces from scratch

I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never

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Solve a three coplanar forces in equilibrium problem #1

I am in SS 3. Give me a problem involving three forces of 8N, 10N and 12N acting at a poin

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Solve a three coplanar forces in equilibrium problem #2

I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two

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Solve a three coplanar forces in equilibrium problem #3

I am in SS 3. Give me a problem involving a particle held in equilibrium by three forces a

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WAEC past-question practice: equilibrium #2

I am in SS 3. Set me a WAEC-style question on three coplanar forces in equilibrium, exactl

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Explain finding area under a curve using integration

I am in SS 3. Explain how definite integration gives the area under a curve between two li

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Time management strategy for the WAEC Further Maths paper

I am in SS 3. Give me a time-management strategy for the WAEC Further Mathematics paper ba

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Quiz me: forces and equilibrium mixed

I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu

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Learn: The union of two sets written in set-builder notation

You are my personal SS3 Further Mathematics tutor. Teach me the union of two sets written

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Quiz: The complement of a set within a stated universal set

Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st

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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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Final Revision: The power set, and how many subsets a set of n elements has

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Spot My Mistake: Finding the inverse of an element under a binary operation

Act as my SS3 Further Mathematics tutor. Work a question on finding the inverse of an elem

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

I have just studied rationalising a denominator of the form a plus root b using the conjug

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Show All Working: Expressing a number in the form a root b

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing

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Common Mistakes: Solving an equation in which the unknown sits under a root

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

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