Practice Methods Of Reasoning (8.7) - Mathematical Reasoning - ICSE 11 Maths
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Methods of Reasoning

Practice - Methods of Reasoning

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define direct reasoning in your own words.

💡 Hint: Think of a path without branches.

Question 2 Easy

What is an example of a counterexample for the statement 'All swans are white'?

💡 Hint: Consider other colors of swans.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is direct reasoning?

Reasoning through contradiction
Directly deriving conclusions from premises
Identifying counterexamples

💡 Hint: Think of a straight path.

Question 2

True or False: A counterexample can help to prove a statement true.

True
False

💡 Hint: Remember what a counterexample is for.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using indirect reasoning, prove that if two angles are supplementary, then each angle is less than 180 degrees.

💡 Hint: Consider the properties of angles and their sum.

Challenge 2 Hard

Construct a universe of examples where 'All rectangles are squares' is false using counterexamples.

💡 Hint: Remember the definitions of rectangles and squares.

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