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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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240 prompts matching "Prove command word: factor theorem"

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

Show all working: resultant of forces question

I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f

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Solve a binomial probability problem #3

I am in SS 3. Give me a binomial distribution problem where n=6, p=0.25, find P(X=0), usin

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Solving an equation formed by equating two algebraic fractions

I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s

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Mapping diagrams and function types

I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi

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Function notation applied to a real-world formula

I am in SS 3. I'm going to explain interpreting a real-world formula, such as cost as a fu

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Finding f(x) given a description of the function rule

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Explaining function notation to a classmate

I am in SS 3. I'm going to explain explaining function notation and what f(x) really means

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WAEC exam question: predicate logic quantifiers

I am in SS 3. Give me a WAEC-style question asking me to translate a statement using the u

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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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Spot my mistake in a combination calculation

I am in SS 3. I will show you my working for a combination problem. Check whether I used n

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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: three-part algebra question mixing methods

I am in SS 3. Give me a structured question where part (a) asks me to factorise a quadrati

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Spot my mistake: dividing a polynomial by long division

I am in SS 3. I will show you my full long division working for dividing a polynomial by a

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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: binomial expansion coefficient equation

I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien

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Structured question: polynomial with a given remainder pattern

I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind

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Explain back: quadratic inequality solution notation

I am in SS 3. Let me explain in my own words how to correctly write the solution set of a

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Explain back: why we check the domain in logarithmic equations

I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain

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Quiz me on choosing the correct method for a quadratic

I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor

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Explain Back: Subtracting two 3 by 3 matrices

I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L

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