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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,242 prompts matching "Using change of base to prove a stated relation"

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

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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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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Show All Working: Finding a coefficient given a stated relation between the roots

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

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Explain Back: Choosing a committee with a stated number from each of two groups

I have just studied choosing a committee with a stated number from each of two groups in m

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Spot my mistake: Using an equation of constant acceleration on a body whose acceleration is changing

Act as my SS3 Further Mathematics tutor. Write a short answer on using an equation of cons

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Spot my mistake: Reading a strong correlation between two variables as proof that one causes the other

Act as my SS3 Further Mathematics tutor. Write a short answer on reading a strong correlat

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Show that command word: using the remainder to find an unknown coefficient

You are my SS3 Further Mathematics tutor. Teach me using the remainder to find an unknown

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Structured question: perpendicular bisector of a line segment

I am in SS 3. Give me a multi-part question where I find the midpoint of a segment, the gr

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Structured question: find the equation of a normal to a curve

I am in SS 3. Set me a structured question where I find the gradient of a tangent by diffe

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Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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WAEC exam question: full binomial expansion to a stated power

I am in SS 3. Give me a WAEC-style Further Maths question asking me to expand a binomial f

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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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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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Worked Example: Taking a common factor out of a matrix

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

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WAEC Prep: The transpose of a column vector

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the transpose of a

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WAEC Prep: Writing the transpose of a matrix by turning rows into columns

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

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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

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

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WAEC Prep: The cofactor of a corner entry

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the cofactor of a

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WAEC Prep: Why the cofactor signs alternate

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why the cofactor s

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Practice: Turning a minor into a cofactor with the sign rule

Act as my SS3 Further Mathematics tutor. Give me five practice questions on turning a mino

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