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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
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738 prompts matching "Show that command word: polynomial identity"

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

Show All Working: Arrangements of the letters of a given word

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on arrangemen

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Show that (sqrt3+1)^2 = 4+2sqrt3

I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that

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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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Quiz me on recognising which command word fits a blank exam question

I am in SS 3. Quiz me by giving me a topic and a blank space where a command word should g

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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

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Common Mistakes: Showing that intersection distributes over union

Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos

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Spot My Mistake: The identity that n choose r equals n choose n minus r

Act as my SS3 Further Mathematics tutor. Work a question on the identity that n choose r e

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Final Revision: Showing that a given motion is simple harmonic

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

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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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Determine command word: validity of an argument

I am in SS 3. Give me an exam question phrased 'determine whether the following argument i

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Choose your own method command word: solving a quadratic

I am in SS 3. Give me a quadratic equation and ask me to solve it by whichever method I th

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Show that a geometric series converges and find its sum to infinity

I am in SS 3. Give me a structured question where I must first show a given geometric seri

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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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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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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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Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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Find the number of ways command word: combinations

I am in SS 3. Set me an exam question phrased 'find the number of ways', involving choosin

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Find the remainder command word: cubic divided by a linear factor

I am in SS 3. Set me an exam question phrased 'find the remainder when f(x) is divided by

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Prove that (1-cos^2x)/sinx = sinx

I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que

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Explain the identity matrix

Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

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