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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Give me practice factorising polynomials with the factor theorem"

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Worked Example: The moment of a force about a point on its own line of action

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Explain Back: The units of a moment, and why they are newton metres

I have just studied the units of a moment, and why they are newton metres in my SS3 Furthe

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Worked Example: The total moment of three parallel forces about one end

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Explain Back: Testing whether data are Poisson by comparing mean and variance

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Worked Example: The distance between two points in three dimensions

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Explain Back: The sum of the first n terms of a geometric progression

I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt

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Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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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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Explain the difference between speed and velocity in mechanics

I am in SS 3. Explain the difference between speed and velocity, and between distance and

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WAEC past-question practice: mechanics #2

I am in SS 3. Set me a WAEC-style projectile motion question exactly the way past papers p

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Build my SS3 Further Maths WAEC revision timetable

I am in SS 3. Help me build a week-by-week revision timetable covering matrices, determina

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Worked example: finding the argument in the correct quadrant

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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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Explain Back: Finding the identity element of a binary operation

I have just studied finding the identity element of a binary operation in my SS3 Further M

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

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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

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