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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,315 prompts matching "Rationalising and then simplifying fully"

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

Explain Back: The angle of friction, and the coefficient of friction

I have just studied the angle of friction, and the coefficient of friction in my SS3 Furth

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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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Final Revision: The period and the frequency of circular motion

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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

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

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

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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Show that command word: laws of indices

I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr

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Find the equation command word: circle through the origin

I am in SS 3. Give me an exam question phrased 'find the equation of the circle', where th

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Show that command word: line is tangent to a circle

I am in SS 3. Set me a 'show that the line is a tangent to the circle' coordinate geometry

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Show that command word: trigonometric identity

I am in SS 3. Set me a 'show that' trigonometric identity question, and check that I clear

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Solve for command word: quadratic trigonometric equation

I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,

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Show that command word: sum of an arithmetic progression

I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n

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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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WAEC exam question: mixed AP and GP problem

I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet

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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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Show that command word: stationary point classification

I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a

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Structured question: find and classify all stationary points

I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta

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Structured question: converse, inverse, and contrapositive together

I am in SS 3. Set me a structured question where, for one given conditional statement, I m

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Show that command word: biconditional equivalence

I am in SS 3. Give me a 'show that' question requiring me to prove two propositions are lo

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