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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "The degree of a polynomial in one variable"

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 with composite and inverse functions

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

Quiz: Writing a recurring decimal as a fraction to show it is rational

Act as my SS1 Further Mathematics tutor and quiz me on writing a recurring decimal as a fr

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

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

Show All Working: Simplifying a surd expression that contains brackets

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

Worked Example: Rationalising a denominator that is a single surd

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

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

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

Quiz: Checking a surd equation for extraneous roots

Act as my SS1 Further Mathematics tutor and quiz me on checking a surd equation for extran

Spot My Mistake: Solving a surd equation that leads to a quadratic

Act as my SS1 Further Mathematics tutor. Work a question on solving a surd equation that l

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

Quiz: Evaluating a*b from a given rule

Act as my SS1 Further Mathematics tutor and quiz me on evaluating a*b from a given rule. A

Show All Working: Evaluating a repeated operation such as a*(b*c)

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

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

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

Worked Example: Testing a*b against b*a for a given rule

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

Explain Back: What it means for an operation to be associative

I have just studied what it means for an operation to be associative in my SS1 Further Mat

Spot My Mistake: Testing (a*b)*c against a*(b*c)

Act as my SS1 Further Mathematics tutor. Work a question on testing (a*b)*c against a*(b*c

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

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