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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,281 prompts matching "Series exam question with show all working"

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

Give me a past-paper style question bank for the binomial theorem

I am in SS 3. Give me a bank of four exam-style questions on the binomial expansion, rangi

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Give me a past-paper style question bank for propositional logic

I am in SS 3. Give me a bank of four exam-style questions on propositions, truth tables an

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Give me a past-paper style question bank for permutations and combinations

I am in SS 3. Give me a bank of four exam-style questions on permutations and combinations

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Give me a past-paper style question bank for differentiation basics

I am in SS 3. Give me a bank of four exam-style questions on differentiation and stationar

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Worked example: expand (2-x)^5 using Pascal's triangle

I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay

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Worked example: solve 3^(2x) - 4(3^x) + 3 = 0

I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it

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Structured question: stating the domain of the inverse of a fractional function

You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a

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Explain Back: Showing that a system of concurrent forces is in equilibrium

I have just studied showing that a system of concurrent forces is in equilibrium in my SS3

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Quiz: A rod resting against a wall, and the concurrence of its three forces

Act as my SS3 Further Mathematics tutor and quiz me on a rod resting against a wall, and t

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Quiz: The roots of a complex number shown on an Argand diagram

Act as my SS3 Further Mathematics tutor and quiz me on the roots of a complex number shown

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Explain Back: Forming a quadratic equation with given complex roots

I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe

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Explain Back: Writing a recurring decimal as a geometric series

I have just studied writing a recurring decimal as a geometric series in my SS3 Further Ma

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Explain Back: Partial fractions with a repeated linear factor

I have just studied partial fractions with a repeated linear factor in my SS3 Further Math

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Multi-part matrix question: add then multiply

Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul

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WAEC past-question practice: matrices #7

I am in SS 3. Test me with a WAEC Further Mathematics matrix question under exam time pres

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Solve simultaneous equations with Cramer's rule (order 2) #2

I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien

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Solve a 3x3 simultaneous equation system with Cramer's rule #1

I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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WAEC past-question practice: determinants #4

I am in SS 3. Test me with a timed WAEC-style determinant question — give it to me cold, l

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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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