Quiz

Quiz: Logical Steps in Proof Construction

AQA 7357 A Level Mathematics

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Steps in this lesson (11)

1
Text

Building on your understanding of mathematical proof structures, let’s test your knowledge of logical steps in proof construction!

2
Multiple ChoiceInteractive

What is the purpose of a mathematical proof?

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3
Multi-SelectInteractive

Which of the following are characteristics of a valid mathematical proof? (Select all that apply)

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4
Fill in the BlankInteractive

In a proof, we start with known facts or {{blank0}} and use logical reasoning to reach a valid {{blank1}}.

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5
MatchingInteractive

Match the items on the left with their correct pairs on the right

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6
Math EquationInteractive

What is the next logical step if proving that \( n^2 \) is even?

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7
Multiple ChoiceInteractive

Which of the following is NOT a valid logical step in constructing a proof?

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8
Multi-SelectInteractive

Which types of reasoning are commonly used in mathematical proofs? (Select all that apply)

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9
Fill in the BlankInteractive

A proof by {{blank0}} involves assuming the opposite of what you want to prove and showing it leads to a {{blank1}}.

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10
typedAnswer

Match the items on the left with their correct pairs on the right

11
Multiple ChoiceInteractive

What is a direct proof?

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