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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 "Learn: Why a surd is never left in the denominator"

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Worked Example: The interquartile range of a set of ordered data

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

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Spot My Mistake: The standard deviation of an ungrouped set of data

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

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Practice: The triangle of velocities for a boat crossing a river

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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track

Act as my SS3 Further Mathematics tutor. Work a question on an aeroplane in a cross-wind,

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Worked Example: The normal reaction on a body resting on a smooth incline

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Practice: The frictional force on a body on a rough incline

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Worked Example: The acceleration of a body moving round a circle at constant speed

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

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Worked Example: The tension in a stretched elastic string

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

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Spot My Mistake: A particle hanging in equilibrium on an elastic string

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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

Act as my SS3 Further Mathematics tutor. Write a short answer on treating any vector with

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Spot my mistake: finding a stationary point

I am in SS 3. I will show you my working for finding and classifying a stationary point of

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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Graphs of a function and its inverse as reflections

I am in SS 3. Teach me why the graph of a function and the graph of its inverse are reflec

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Explaining function notation to a classmate

I am in SS 3. I'm going to explain explaining function notation and what f(x) really means

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Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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Give me an exam formula sheet for surds

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

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