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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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839 prompts matching "A geometric progression with a negative 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.

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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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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Explain the difference between differentiation and integration

I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro

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Explain finding area under a curve using integration

I am in SS 3. Explain how definite integration gives the area under a curve between two li

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Common WAEC Further Mathematics mistakes to avoid

Tell me the most common mistakes SS3 students make in WAEC Further Mathematics on matrices

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Teach me how to find the writing the inverse of a two by two matrix with the adjugate

You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat

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Teach me integration by recognising the reverse of differentiation

I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin

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Quiz: The complement of a set within a stated universal set

Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st

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Worked Example: Testing whether a binary operation is closed on a given set

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

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Practice: Testing a binary operation for associativity

Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina

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Explain Back: Finding the identity element of a binary operation

I have just studied finding the identity element of a binary operation in my SS3 Further M

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Show All Working: Solving an equation written in terms of a binary operation

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving an

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Practice: Rationalising a denominator of the form root a

Act as my SS3 Further Mathematics tutor. Give me five practice questions on rationalising

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

I have just studied rationalising a denominator of the form a plus root b using the conjug

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WAEC Prep: Comparing the sizes of two surds without a calculator

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

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