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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 "Restricting the domain so an inverse exists"

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

Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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 distinct arrangements are there of the letters in the word MISSISSIPPI

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Worked example: expand (x+2)^5 fully using the binomial theorem

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Real-life application of testing the validity of an argument

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where testin

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Real-life application of the condition for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co

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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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Find the range of values command word: quadratic inequality

I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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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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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Spot My Mistake: What the formula gives when the discriminant is nought

Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th

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WAEC Prep: What the formula gives when the discriminant is negative

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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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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Final Revision: One root twice the other, and what that gives

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Explain Back: Writing the answers as ordered pairs

I have just studied writing the answers as ordered pairs in my SS2 Further Mathematics cla

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