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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 "Quiz: A negative index on a fraction, and turning it upside down"

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

Explain why a complex number times its conjugate is real

I have just studied why a complex number times its conjugate is real in my SS3 Further Mat

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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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Find and classify stationary points #3

I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum

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Explain time of flight and range in projectile motion

I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o

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Practice under WAEC exam conditions

I am in SS 3. Give me a WAEC Further Mathematics style question, tell me to solve it under

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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: Evaluating a polynomial by substitution

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

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Worked Example: The difference between a permutation and a combination

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

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Show All Working: The intersection of a circle and a straight line

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

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Show All Working: The effect on the standard deviation of adding a constant to every value

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

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Worked Example: The sign convention for clockwise and anticlockwise moments

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

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Worked Example: Relative velocity when two bodies move along the same line

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Show All Working: A body in a vertical circle, and the tension at the top

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

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Practice: The maximum speed and the maximum acceleration in simple harmonic motion

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the maximum sp

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Practice: The difference between an elastic string and a spring in compression

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the difference

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Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1

I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/

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Explain pre-multiplication and post-multiplication

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

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

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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Worked example: solving simultaneous equations with matrices

I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve

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