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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,322 prompts matching "Practice: Working through a quadratic by completing the square, step by step"

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

Learn: The velocity of one body relative to another

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

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Worked Example: The common acceleration of two connected particles

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Learn: Resolving the weight along and perpendicular to an inclined plane

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

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

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Learn: The defining equation of simple harmonic motion

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Worked Example: The amplitude, period and frequency of a simple harmonic motion

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Learn: Hooke's law, and what the modulus of elasticity means

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Worked Example: The tension in a stretched 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: Assuming a quadratic with a negative discriminant has no roots at all

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Finding the making x the subject of a fractional function

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Show that command word: using the remainder to find an unknown coefficient

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WAEC exam question: remainder theorem with two conditions

I am in SS 3. Give me a WAEC-style Further Maths question where a polynomial has two unkno

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Structured question: find the nth term and a specific term of an AP

I am in SS 3. Give me a structured arithmetic progression question where I first find the

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Find the sum to infinity command word

I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric

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Structured question: the constant term in a binomial expansion

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Find the coefficient command word: binomial expansion

I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia

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Structured question: find the equation of a tangent to a curve

I am in SS 3. Give me a structured question where I differentiate a curve's equation, find

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