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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,039 prompts matching "Quiz: A negative index on a fraction, and turning it upside down"

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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

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

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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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Common Mistakes: Checking a completed square by expanding it again

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Common Mistakes: A sign error in the formula, and how to catch it

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Final Revision: Checking a factorisation by expanding it again

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Practice: A cubic with one real root and two complex ones

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o

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Final Revision: The exclusive sense of or, and its truth table

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WAEC Prep: Why a conditional and its contrapositive are equivalent

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Show All Working: Why a conditional and its converse are not equivalent

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on why a condition

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Common Mistakes: Writing the converse, inverse and contrapositive of one statement

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Learn: The biconditional, p if and only if q

You are my personal SS2 Further Mathematics tutor. Teach me the biconditional, p if and on

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Final Revision: An argument written in words and tested for validity

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