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Further Mathematics

AI prompts for senior secondary learners.

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1,283 prompts matching "Union and intersection of two number sets"

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

Explain back: converse and contrapositive

I am in SS 3. Let me explain in my own words the difference between the converse, the inve

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Explain back: difference between permutations and combinations

I am in SS 3. Let me explain in my own words why order matters for permutations but not fo

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Structured question: use Pascal's triangle to expand a binomial

I am in SS 3. Give me a structured question where I must write out the relevant row of Pas

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Evaluate log5(200) using change of base

I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang

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Structured question: line through (1,4) and (5,-2)

I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and

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Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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Find the range of x for which y = x^3 - 3x is increasing

I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range

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Give me an exam formula sheet for trigonometric identities and equations

I am in SS 3. Build me a short formula sheet covering every formula I need for proving ide

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Give me an exam formula sheet for sequences and series

I am in SS 3. Build me a short formula sheet covering every formula I need for arithmetic

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Give me an exam formula sheet for permutations and combinations

I am in SS 3. Build me a short formula sheet covering every formula I need for permutation

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Give me a past-paper style question bank for line and curve tangency conditions

I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t

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Give me a past-paper style question bank for trigonometric identities and equations

I am in SS 3. Give me a bank of four exam-style questions on proving identities and solvin

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Give me a past-paper style question bank for sequences and series

I am in SS 3. Give me a bank of four exam-style questions on arithmetic and geometric prog

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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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Spot my mistake: checking each line of a trigonometric identity proof

I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f

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Build me a two-week countdown revision schedule

I am in SS 3. Build me a two-week countdown revision schedule covering all of the Further

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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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WAEC Prep: Adding three matrices of the same order

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through adding three matri

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WAEC Prep: Adding two 2 by 2 matrices entry by entry

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

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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