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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Logical reasoning with 'and' versus 'or' in sets"

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

Why is matrix multiplication not commutative

Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2

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Quiz me on rates of change problems

I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a

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Quiz me: calculus differentiation rules

I am in SS 3. Quiz me with three short differentiation questions, one needing the product

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Teach me the Poisson distribution from scratch

I am in SS 3. Teach me what the Poisson distribution is, when we use it instead of binomia

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Spot My Mistake: The power law of logarithms

Act as my SS3 Further Mathematics tutor. Work a question on the power law of logarithms wi

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Learn: The sum of the roots of a cubic read from its coefficients

You are my personal SS3 Further Mathematics tutor. Teach me the sum of the roots of a cubi

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Quiz: The product of the roots of a cubic

Act as my SS3 Further Mathematics tutor and quiz me on the product of the roots of a cubic

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Quiz: The number of arrangements of r objects chosen from n

Act as my SS3 Further Mathematics tutor and quiz me on the number of arrangements of r obj

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Quiz: The equation of the tangent to a parabola

Act as my SS3 Further Mathematics tutor and quiz me on the equation of the tangent to a pa

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Spot My Mistake: The foci of an ellipse

Act as my SS3 Further Mathematics tutor. Work a question on the foci of an ellipse with on

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Learn: The velocity of one body relative to another

You are my personal SS3 Further Mathematics tutor. Teach me the velocity of one body relat

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Quiz: Relative velocity when the two motions are at right angles

Act as my SS3 Further Mathematics tutor and quiz me on relative velocity when the two moti

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Composite functions gf(x)

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Structured question: prove a trigonometric identity

I am in SS 3. Give me a structured 'prove that' trigonometric identity question where I mu

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Give me a full Additional Maths style Paper 2 structured question

I am in SS 3. Give me one long structured Additional Maths style Paper 2 question with sev

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WAEC exam question: predicate logic quantifiers

I am in SS 3. Give me a WAEC-style question asking me to translate a statement using the u

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Structured question: two compound statements compared row by row

I am in SS 3. Give me a structured question where I must build truth tables for two differ

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Simplify (8^(2/3) times 4^(-1/2)) fully

I am in SS 3. Set me a non-calculator indices question simplifying an expression like 8^(2

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Rationalise 7/(sqrt5 - 2) fully

I am in SS 3. Give me the surd expression 7/(sqrt5 - 2) as a Cambridge-style rationalising

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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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