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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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255 prompts matching "Deciding whether a geometric series converges"

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

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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Spot my mistake: forming a quadratic equation from its roots

Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f

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Spot my mistake: solving an exponential equation

I am in SS 3. I will show you my working for solving an exponential equation by matching b

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Structured word problem: WAEC exam hall seating combinations

I am in SS 3. Set me a structured combinations word problem about choosing students for an

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Structured question: composite function domain restriction

I am in SS 3. Give me a structured question where the composite function fg(x) is undefine

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Structured question: simplifying a surd raised to a fractional index

I am in SS 3. Give me a structured question simplifying an expression that combines a surd

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Structured question: logic puzzle solved with a truth table

I am in SS 3. Give me a short logic puzzle involving two or three statements about people

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WAEC exam question: polynomial division real-world framing

I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi

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Non-calculator paper: exact value question on sum and product of roots

I am in SS 3. Give me a non-calculator sum and product of roots question where the final a

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Explain Back: Subtracting two 3 by 3 matrices

I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L

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Spot My Mistake: Why matrix subtraction is not commutative

Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not

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Explain Back: Showing that AB and BA are usually different for 2 by 2 matrices

I have just studied showing that AB and BA are usually different for 2 by 2 matrices in my

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Spot My Mistake: Squaring a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with

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Explain Back: Keeping track of the nine entries when multiplying 3 by 3 matrices

I have just studied keeping track of the nine entries when multiplying 3 by 3 matrices in

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Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column

Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by

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Explain Back: Why the order of the letters matters in a matrix product

I have just studied why the order of the letters matters in a matrix product in my SS3 Fur

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Spot My Mistake: Orders that make a product possible one way round but not the other

Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos

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Explain Back: The rule that the transpose of a product reverses the order

I have just studied the rule that the transpose of a product reverses the order in my SS3

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Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

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Explain Back: The order of the answer when two matrices are multiplied

I have just studied the order of the answer when two matrices are multiplied in my SS3 Fur

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