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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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956 prompts matching "Show that a geometric series converges and find its sum to infinity"

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

Test me under exam conditions on logarithms and indices

Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on lo

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Give me common mistakes students make in polynomials and the remainder/factor theorems

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Give me common mistakes students make in permutations and combinations

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Give me common mistakes students make in trigonometric identities and equations

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Give me common mistakes students make in logarithms and indices

Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe

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Give me a 5-minute recap of propositions and compound statements

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of propositions and comp

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Give me a 5-minute recap of converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of converse and inverse

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Give me a 5-minute recap of indices and surds

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of indices and surds, co

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Structured question: solve and check a quadratic equation

Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat

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Express in the form command word: completing the square

Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+

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Deduce command word: minimum value from completed square

I am in SS 2. Explain the command word 'deduce' with an example where completing the squar

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Form a quadratic from a given sum and product

Set me a structured question: given the sum and product of the roots of a quadratic equati

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Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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Structured question: find coordinates of intersection points

I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th

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Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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Worked Example: Halving the coefficient of x and squaring it

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin

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Worked Example: Substituting a, b and c into the quadratic formula correctly

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi

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Explain Back: Finding a missing coefficient from a stated sum of roots

I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur

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