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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,323 prompts matching "Testing the integers for closure under division"

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

Explain the identity matrix

Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

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Teach me equilibrium of forces from scratch

I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never

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Explain-back: my understanding of Cramer's rule

I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the

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Explain Back: Forming a cubic equation whose three roots are given

I have just studied forming a cubic equation whose three roots are given in my SS3 Further

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Simplifying an expression before solving an equation

I am in SS 3. Quiz me with 3 short Additional Maths questions on why it is often worth ful

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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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The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

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Finding the making x the subject of a fractional function

You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu

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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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Reviewing all function skills before a test

I am in SS 3. Quiz me with 5 short Additional Maths questions on a structured review of ev

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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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Cambridge-style question: change of base formula

I am in SS 3. Give me an Additional Maths question requiring the change of base formula to

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Solve for command word: quadratic trigonometric equation

I am in SS 3. Set me a question where a trigonometric equation is quadratic in sin or cos,

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Structured question: find the nth term and a specific term of an AP

I am in SS 3. Give me a structured arithmetic progression question where I first find the

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Find the sum to infinity command word

I am in SS 3. Set me an exam question phrased 'find the sum to infinity', for a geometric

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Structured question: the constant term in a binomial expansion

You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi

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Find the coefficient command word: binomial expansion

I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia

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Find the range of values command word: increasing function

I am in SS 3. Set me an exam question phrased 'find the range of values of x for which the

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Timed 20-minute Further Maths exam practice

I am in SS 3. Give me a timed 20-minute set of exam-style Further Maths questions covering

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