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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The work done against friction on an incline"

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

Teach me the binomial expansion formula

Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c

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Worked example: expanding (2x-3)^5 using the binomial formula

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi

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Worked example: evaluating a power using binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp

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Worked example: simplifying an expression with fractional indices

Act as my SS2 Further Maths tutor. Show me a full worked example of simplifying an express

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Worked example: finding a term in an arithmetic progression

Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter

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Worked example: finding and classifying a stationary point

Act as my SS2 Further Maths tutor. Show me a full worked example of finding the stationary

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Worked example: plotting a complex number on an Argand diagram

Act as my SS2 Further Maths tutor. Show me a full worked example of plotting a complex num

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Worked example: solving simultaneous equations using matrices

Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu

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Worked example: standard deviation of a small data set

Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian

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Summarise polynomials and the remainder/factor theorems for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Test me under exam conditions on polynomials and the remainder/factor theorems

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po

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Worked example: find the unit vector in the direction of (6,8)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

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Worked example: how many ways can 5 books be arranged on a shelf

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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Worked Example: Halving the coefficient of x and squaring it

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin

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Show All Working: Completing the square with a fractional coefficient of x

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on completing the

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Final Revision: Why completing the square always works

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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Show All Working: Choosing between factorising and the formula

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee

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