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- Trigonometry
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    - Triangle Sides 9
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    - Area of Triangle 5
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- Calculus
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    - lhopitals Rule 5
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    - Product Rule 11
    - Quotient Rule 3
    - Chain Rule 2
    - Derivatives of Trig 5
    - Implicit Differentiation 6
    - Tangents & Slopes 4
    - Optimization Problems 4
  - Integrals
    - Indefinite Integrals 7
    - Definite Integrals 2
    - Fundamental Theorem 3
    - Integration by Substitution 4
    - Integration by Parts 6
    - Improper Integrals 5
    - Integration of Trig 1
  - Differential Equations
    - First Order Equations 4
    - Separable Equations 5
    - Exact Equations 1
    - Homogeneous Equations 4
    - Growth & Decay 5
  - Sequences & Series
    - Arithmetic Sequences 51
    - Geometric Sequences 8
    - Convergence Tests 1
    - Infinite Series 3
    - Partial Sums 4
    - Power Series 6
    - Taylor Series 5
    - Maclaurin Series 5
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    - Gradient Vectors 8
    - Vector Fields 1
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    - Divergence & Curl 5
- Statistics & Probability
  - Data Handling
    - Types of Data 17
    - Primary Secondary Data 1
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    - Pie Charts 8
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    - Histograms 7
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    - Median 15
    - Mode 6
    - Weighted Mean 3
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    - Interquartile Range 6
    - Variance 5
    - Standard Deviation 1
    - Mean Absolute Deviation 6
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    - Conditional Probability 5
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    - Cumulative Distribution 5
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    - Sampling Methods 12
    - Hypothesis Testing 16
    - Confidence Intervals 4
    - Margin of Error 7
    - Z & T Tests 3
    - Chi Square Test 3
- Number Theory
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    - Prime Basics 6
    - Prime Factorization 13
    - Sieve of Eratosthenes 5
    - Twin Primes 5
    - Primality Tests 1
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    - Divisibility by 2 6
    - Rules Application 2
    - Remainder Concepts 6
    - Number Puzzles 2
    - Divisibility Proofs 5
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    - GCD Basics 5
    - LCM Basics 5
    - Euclidean Algorithm 4
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    - Coprime Numbers 2
  - Modular Arithmetic
    - Congruence 9
    - Modulo Basics 5
    - Congruence Relations 6
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    - Modular Multiplication 3
    - Modular Inverses 3
    - Math in Coding 2
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- Mathematical Topology
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Contradiction Method Quizzes, Questions & Answers

Top Trending Contradiction Method Quizzes

Proof by Contradiction Quiz: Expose Logical Inconsistencies

Proof by contradiction can feel like a clever puzzle, and this contradictions proof quiz lets you practice the method in a clear, intuitive way. You’ll assume the opposite of what you want to prove, follow the...

Questions: 20 | Attempts: 12 | Last updated: Dec 17, 2025

Sample Question 1
What is the defining feature of a proof by contradiction?

You assume the negation and derive an impossibility

You avoid assumptions entirely

You prove the statement directly

You rely only on examples

Sample Question 2
To prove 'If ab is even, then at least one of a or b is even' by contradiction, what should be assumed?

Ab is even and both a and b are odd

Ab is even and both a and b are even

Ab is odd and both a and b are odd

Ab is odd and both a and b are even

Sample Question 3
In the classical proof that √2 is irrational, where does the contradiction arise?

A/b is not in lowest terms

√2 is actually an integer

A and b are not integers

√2 is not a real number

Recent Contradiction Method Quizzes

Existence, Non-Existence, and Parity via Contradiction

Ready to level up your contradiction skills with more abstract ideas? In this quiz, you’ll apply proof by contradiction to statements about sets, divisibility, and “smallest” or “largest” objects, as...

Questions: 15 | Attempts: 10 | Last updated: Dec 12, 2025

Sample Question
What is the key characteristic of a proof by contradiction?

It relies on deriving a contradiction.

It uses direct reasoning.

It avoids assumptions.

It only works for false statements.

Classic Number-Theoretic Proofs by Contradiction

Think you can handle some of the most famous “impossible” proofs in math? This quiz lets you practice proof by contradiction on classic results from number theory and algebra. You’ll revisit the proofs that...

Questions: 15 | Attempts: 10 | Last updated: Dec 12, 2025

Sample Question
What is the first step in a proof by contradiction?

Assume the negation of the statement is true.

Assume the statement is true.

Prove the statement directly.

Find a counterexample.

Core Ideas of Proof by Contradiction

Are you ready to flip your thinking and start a proof from the “wrong” side on purpose? In this quiz, you’ll learn how proof by contradiction works by assuming the opposite of what you want to prove and then...

Questions: 15 | Attempts: 10 | Last updated: Dec 12, 2025

Sample Question
What is the primary goal of assuming the negation in a proof by contradiction?

To prove the negation true

To derive a contradiction

To avoid direct proof

To simplify the problem