Revise Logic and Reasoning in GCSE Maths Quiz

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Explore GCSE Foundation logic. Understand statements, connectives, and truth tables. Use implications, negation, and diagrams to test arguments and spot common reasoning mistakes.

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Fascinating Fact:

In detective puzzles, an implication reads “if A then B”. If it rains then the ground is wet. If the ground is wet, raining is not guaranteed.

In GCSE Maths (Foundation), logic helps you judge whether statements are always true, sometimes true, or false. You’ll use connectives (and, or, not), implications, and simple truth tables to check reasoning.

Key Terms

Statement: A sentence that is true or false, such as “All squares are rectangles.”
Implication: A rule of the form “if P then Q” (written P → Q). If P is true, Q must be true.
Negation: The opposite of a statement. If P is “The number is even,” then ¬P is “The number is not even.”

Frequently Asked Questions (Click to see answers)

What does “if P then Q” mean in GCSE logic?

“If P then Q” means whenever P is true, Q must also be true. It does not claim that P is true, only that P being true forces Q.

What is the converse and contrapositive of an implication?

The converse of P → Q is Q → P (not always true). The contrapositive is ¬Q → ¬P, which is logically equivalent to the original implication.

How do truth tables help in GCSE questions?

Truth tables list all possibilities of P and Q. They show exactly when statements like P ∧ Q, P ∨ Q, or P → Q are true or false.

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Maths Quiz - Logic (F) (Questions)

Fascinating Fact:

Key Terms

Frequently Asked Questions (Click to see answers)

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