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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "Teach me dividing complex numbers by rationalising with the conjugate"

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

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

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

Worked Example: Why multiplying by the conjugate clears the surd

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

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

Show All Working: A conjugate where the surd term comes first

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

Common Mistakes: Rationalising when both terms of the denominator are surds

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

Practice: Solving an equation with a surd on each side

Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving an equ

Spot My Mistake: A binary operation defined on a set of three elements

Act as my SS1 Further Mathematics tutor. Work a question on a binary operation defined on

Worked Example: Testing the even numbers for closure under addition

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

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

Quiz: Reading commutativity off a symmetrical operation table

Act as my SS1 Further Mathematics tutor and quiz me on reading commutativity off a symmetr

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

Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

Quiz: Finding the identity element from an operation table

Act as my SS1 Further Mathematics tutor and quiz me on finding the identity element from a

Spot My Mistake: Finding the inverse of a given element

Act as my SS1 Further Mathematics tutor. Work a question on finding the inverse of a given

Common Mistakes: Checking an inverse by working the operation both ways

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

Final Revision: Evaluating a numerical expression using the index laws

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

Quiz: An indicial equation that becomes a quadratic in a power

Act as my SS1 Further Mathematics tutor and quiz me on an indicial equation that becomes a

Explain Back: An indicial equation with the unknown in the exponent on both sides

I have just studied an indicial equation with the unknown in the exponent on both sides in

Common Mistakes: An indicial equation solved by substitution

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

Quiz: Writing a logarithm as an index statement

Act as my SS1 Further Mathematics tutor and quiz me on writing a logarithm as an index sta

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