755 prompts matching "Give me a past-paper style question bank for solving quadratics by factorisation"
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Common Mistakes: Why a rational number added to an irrational one stays irrational
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on why
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
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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
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Common Mistakes: Expanding the product of two surd brackets
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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
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
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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
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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)
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Show All Working: Showing a set is not closed by a single counter-example
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Show All Working: An operation that is associative but not commutative
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Common Mistakes: Subtraction as an example of neither law
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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
Show All Working: Using distributivity to simplify an expression
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on using distribut