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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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838 prompts matching "A geometric progression with a fractional common ratio"

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

WAEC Prep: A definite integral evaluated with the limits reversed

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a definite integra

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Quiz: A rate of change problem about a vessel filling with water

Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve

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Practice: The sign convention for displacement, velocity and acceleration

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign conve

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Worked Example: Finding the first term and the common difference from two given terms

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

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Practice: The sum to infinity of a convergent geometric series

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum to inf

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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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WAEC Prep: Splitting a fraction with two distinct linear factors

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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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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Spot My Mistake: Partial fractions with an irreducible quadratic factor

Act as my SS3 Further Mathematics tutor. Work a question on partial fractions with an irre

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Practice: Finding a remainder without carrying out the division

Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding a rema

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Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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Solve simultaneous equations with Cramer's rule (order 2) #4

Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan

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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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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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Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

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Solve a quadratic equation with complex roots #2

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0

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Solve a quadratic equation with complex roots #3

I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0

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Integration practice question #3

I am in SS 3. Give me an integration problem where I must find the definite integral of x^

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Integration practice question #4

I am in SS 3. Give me an integration problem where I must find the area under the curve y

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Teach me the chain rule with an example

I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o

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