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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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459 prompts matching "proving a statement is a tautology"

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

Show All Working: Checking a rationalised answer by decimal approximation

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

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

Final Revision: Expressing a rationalised answer in the form a root b over c

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

Quiz: Rationalising a denominator of the form one over 2 plus root 3

Act as my SS1 Further Mathematics tutor and quiz me on rationalising a denominator of the

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

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

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

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

Learn: What a binary operation actually is

You are my personal SS1 Further Mathematics tutor. Teach me what a binary operation actual

Common Mistakes: A binary operation that is ordinary addition in disguise

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

Final Revision: Deciding whether a given rule really is a binary operation

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

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

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

Common Mistakes: Closure on a set of three elements under a stated rule

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

Final Revision: Why closure is checked before any other property

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

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

WAEC Prep: An operation that is commutative but not associative

Act as my SS 1 Further Mathematics teacher setting an examination question. Give me a ques

Show All Working: An operation that is associative but not commutative

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

Common Mistakes: Subtraction as an example of neither law

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

Final Revision: Why brackets matter when an operation is not associative

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

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