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Senior Secondary

Further Mathematics

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755 prompts matching "Structured question: combination problem with 'at least' condition"

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

Explain Back: The difference of two squares applied to surd conjugates

I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur

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

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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

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

Worked Example: Reading the symbol used for a binary operation

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Practice: A binary operation set out as a table

Act as my SS1 Further Mathematics tutor. Give me five practice questions on a binary opera

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

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

Practice: Testing a set for closure under multiplication

Act as my SS1 Further Mathematics tutor. Give me five practice questions on testing a set

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

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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

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

Practice: Multiplication distributing over addition in ordinary arithmetic

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

Explain Back: What an inverse element is

I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me

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