755 prompts matching "Structured question: circle and line with an unknown intercept"
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Simplifying nested surds
I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su
Solving for x when three terms are in arithmetic progression
I am in SS 1. I attempted an Additional Maths question on finding the value of x given tha
Subtracting two algebraic fractions
I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno
Dividing algebraic fractions
I am in SS 1. I attempted an Additional Maths question on dividing one algebraic fraction
Worked Example: Why the square root of a non-square whole number is irrational
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Practice: Deciding whether root 16 is rational or irrational
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Worked Example: What makes two surds equal
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Worked Example: Adding two surds that simplify to the same root
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Practice: Multiplying a whole number by a surd
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Worked Example: Rationalising a denominator that is a single surd
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Common Mistakes: Rationalising a denominator of the form root a over root b
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Worked Example: Why multiplying by the conjugate clears the surd
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Practice: Rationalising a denominator of the form a plus root b over c minus root d
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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
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Common Mistakes: A surd equation that has no real solution
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Worked Example: Reading the symbol used for a binary operation
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Practice: A binary operation set out as a table
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Common Mistakes: A binary operation that is ordinary addition in disguise
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