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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "Structured question: find f^-1(x) and verify it"

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Worked Example: The shape, period and range of the cosine curve

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

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

Explain Back: The eccentricity of an ellipse

I have just studied the eccentricity of an ellipse in my SS3 Further Mathematics class. Le

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

Worked Example: The sign convention for clockwise and anticlockwise moments

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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

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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

Explain Back: The displacement written as x equals a sin omega t

I have just studied the displacement written as x equals a sin omega t in my SS3 Further M

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

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Spot my mistake: Assuming AB and BA give the same matrix

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming AB and BA give t

Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

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Spot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant

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Spot my mistake: Assuming moments may only be taken about the pivot and never about another point

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Spot my mistake: Assuming the normal curve meets the horizontal axis at its points of inflexion

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming the normal curve

Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative

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Spot my mistake: Treating any vector with small components as a unit vector

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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product

Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration

Act as my SS3 Further Mathematics tutor. Write a short answer on leaving out the constant

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