Practice Introduction (8.1) - Mathematical Reasoning - ICSE 11 Maths
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Introduction

Practice - Introduction

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Learning

Practice Questions

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Question 1 Easy

Define mathematical reasoning in your own words.

💡 Hint: Think about how we use logic to solve problems.

Question 2 Easy

List two characteristics of a logical statement.

💡 Hint: Consider what type of sentences are involved.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines mathematical reasoning?

A process using random guesses
Using logical steps
Only using numerical calculations

💡 Hint: Consider what the definition focuses on.

Question 2

True or False: A logical statement must always be true.

True
False

💡 Hint: Reflect on examples of statements.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Construct a logical argument using at least three premises to arrive at a conclusion. Explain each step of your reasoning.

💡 Hint: Use well-known facts to form a coherent argument.

Challenge 2 Hard

Analyze a given statement: 'If a number is even, it is divisible by 2'. Prove its truth value by demonstrating a counterexample.

💡 Hint: Consider what happens if you find an odd number.

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