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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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755 prompts matching "Give me practice with predicate logic"

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

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

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

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

Common Mistakes: Expanding the product of two surd brackets

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

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

Explain Back: Simplifying the answer once the denominator is rational

I have just studied simplifying the answer once the denominator is rational in my SS1 Furt

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

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

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

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

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

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

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

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

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