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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,330 prompts matching "finding the gradient of a curve at a point"

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

Practice: The mean deviation from the mean

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

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

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

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Quiz: Relative velocity when the two motions are at right angles

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Explain Back: The course to steer so that a boat crosses straight over

I have just studied the course to steer so that a boat crosses straight over in my SS3 Fur

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Quiz: The centripetal force, and what supplies it in a given situation

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

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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

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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: Treating the kilogram and the kilogram weight as the same unit

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the kilogram and

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Spot my mistake: Reporting an area computed below the x-axis as a negative distance travelled

Act as my SS3 Further Mathematics tutor. Write a short answer on reporting an area compute

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Structured question: perpendicular bisector of a line segment

I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr

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Structured question: perpendicular bisector of (2,1) and (-4,7)

I am in SS 3. Give me a structured question using the points (2,1) and (-4,7): find the mi

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Worked example: find where the tangent to y = x^3 crosses the x-axis

I am in SS 3. Show me a full worked example finding the equation of the tangent to y=x^3 a

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Evaluating a function at an algebraic input

I am in SS 3. Quiz me with 3 short Additional Maths questions on evaluating a function at

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Domain of a simple algebraic function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

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Domain of a function involving a square root

I am in SS 3. Teach me finding the domain of a function involving a square root, such as f

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Range of a simple function from its graph or values

I am in SS 3. Quiz me with 3 short Additional Maths questions on finding the range of a si

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Structured question: intersection of a line and a circle

I am in SS 3. Give me a structured question where I substitute a line's equation into a ci

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Show that (1,2), (3,6), and (5,10) are collinear

I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,

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Give me an exam formula sheet for line and curve tangency conditions

I am in SS 3. Build me a short formula sheet covering every formula I need for conditions

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