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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "Completing the square when the roots are not real"

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

Finding the equation of a line parallel to the x-axis or y-axis through a point

I am in SS 1. I'm going to explain finding the equation of a line through a given point th

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Simultaneous equations of a line and the coordinate axes

I am in SS 1. Teach me finding the area enclosed between a straight line and the coordinat

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Coordinate geometry applied to a triangle's area check

I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on chec

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Changing the subject of a simple formula

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

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Explain Back: Where the surds sit on the number line

I have just studied where the surds sit on the number line in my SS1 Further Mathematics c

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Spot My Mistake: The decimal expansion of an irrational number, and why it never repeats

Act as my SS1 Further Mathematics tutor. Work a question on the decimal expansion of an ir

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Common Mistakes: Expressing root 50 as a multiple of root 2

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on exp

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Final Revision: Surds that cannot be combined at all

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of s

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of s

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Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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Spot My Mistake: Rationalising and then cancelling a common factor

Act as my SS1 Further Mathematics tutor. Work a question on rationalising and then cancell

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

Act as my SS1 Further Mathematics tutor. Work a question on simplifying the denominator on

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Worked Example: Squaring both sides safely when solving a surd equation

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari

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Explain Back: Solving an equation where the surd must be isolated first

I have just studied solving an equation where the surd must be isolated first in my SS1 Fu

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Common Mistakes: A surd equation that has no real solution

Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a s

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Explain Back: A binary operation defined on the integers

I have just studied a binary operation defined on the integers in my SS1 Further Mathemati

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Quiz: Testing the odd numbers for closure under addition

Act as my SS1 Further Mathematics tutor and quiz me on testing the odd numbers for closure

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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Show All Working: Showing a set is not closed by a single counter-example

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on showing a set i

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Practice: An operation that is not commutative, with a counter-example

Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t

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