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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 "The sum of an arithmetic progression with a negative common difference"

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 #4

I am in SS 3. Test me with a timed WAEC-style determinant question — give it to me cold, l

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Solve simultaneous equations using an inverse matrix #2

I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t

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Solve simultaneous equations using an inverse matrix #3

Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t

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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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Quiz me on units of force

Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv

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WAEC past-question practice: coplanar forces #1

I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the resultant of

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WAEC past-question practice: coplanar forces #3

I am in SS 3. Give me a WAEC Further Mathematics exam-style question on the resultant of s

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WAEC past-question practice: coplanar forces #4

I am in SS 3. Test me with a timed WAEC-style coplanar forces question, give it to me cold

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Use the normal distribution function to find a probability #4

I am in SS 3. Give me a normal distribution problem where mean 70 and standard deviation 1

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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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Show all working: moments and equilibrium question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question combinin

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Vector addition, subtraction and magnitude #3

I am in SS 3. Give me a vector problem where a = 5i - j, find the magnitude of a. Let me a

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Vector addition, subtraction and magnitude #4

I am in SS 3. Give me a vector problem where a = 2i + 3j - 6k, find the magnitude of a. Le

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Vector addition, subtraction and magnitude #5

I am in SS 3. Give me a vector problem where a = 4i - 3j, find a unit vector in the direct

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Position vectors and displacement between points #3

I am in SS 3. Give me a vectors problem where I have position vectors of P and Q, find the

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Explain parallel and perpendicular vectors

I am in SS 3. Explain how to test whether two vectors are parallel or perpendicular using

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Complex number arithmetic practice #4

I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th

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Find and classify stationary points #1

I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify

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Find and classify stationary points #2

I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary

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