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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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468 prompts matching "solving a quadratic with complex roots"

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

Simplifying expressions with like and unlike terms

I am in SS 1. Teach me correctly identifying and collecting like terms in a longer algebra

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Cross-multiplying to solve an equation with fractions

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

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Common mistakes with composite and inverse functions

Teach me the most common mistakes SS1 students make with composite and inverse functions,

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Worked Example: Why the square root of a non-square whole number is irrational

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

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Practice: Deciding whether root 16 is rational or irrational

Act as my SS1 Further Mathematics tutor. Give me five practice questions on deciding wheth

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Explain Back: Why 2 root 3 and 5 root 3 count as similar surds

I have just studied why 2 root 3 and 5 root 3 count as similar surds in my SS1 Further Mat

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Show All Working: Deciding whether two given surds are equal without a calculator

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on deciding whethe

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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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Worked Example: Adding two surds that simplify to the same root

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Explain Back: Multiplying root a by root b

I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let

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Practice: Rationalising a denominator with a whole number multiplying the surd

Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Practice: Rationalising a denominator of the form a plus root b over c minus root d

Act as my SS1 Further Mathematics tutor. Give me five practice questions on rationalising

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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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Show All Working: Finding a and b when a plus b root 2 equals a given surd

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on finding a and b

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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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Show All Working: An element with no inverse under a given operation

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on an element with

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Show All Working: Simplifying an expression with letters and indices

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on simplifying an

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Explain Back: A fractional index with a numerator above one

I have just studied a fractional index with a numerator above one in my SS1 Further Mathem

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