ENGLISH QUIZ- Proofs & Logic Leave a Comment / By admin / August 3, 2025 Instructions: Choose the correct answer. Each question focuses on understanding algebra vocabulary and key concepts in English. 1. What is a theorem? A) A random idea B) A number with no solution C) A statement that has been proven to be true D) A pattern that repeats E) An unknown angle None 2. What is an axiom? A) A basic truth accepted without proof B) A long calculation C) A result of a graph D) A decimal value E) A variable used in algebra None 3. What does the word proof mean in mathematics? A) A list of formulas B) A guess based on a pattern C) A logical explanation that shows something is true D) A random method E) A drawing of a triangle None 4. What is a hypothesis in a proof? A) The final result B) The statement we want to prove C) The calculation steps D) A value on a graph E) A number we divide None 5. What is the conclusion of a proof? A) The second step in reasoning B) A rule for measuring C) The final result we reach D) The starting example E) A shape that was drawn None 6. What is deductive reasoning? A) Making guesses without data B) Using known facts and logic to reach a conclusion C) Observing a graph to decide D) Calculating with decimals E) Describing objects with shapes None 7. What is inductive reasoning? A) Using data and facts only B) Proving the opposite is true C) Creating a general rule from patterns or examples D) Ignoring logical steps E) Only using equations None 8. What is a direct proof? A) A formula with multiple answers B) A proof using graphs and charts C) Showing a conclusion is true step by step D) A diagram without calculations E) A guess used for testing None 9. What is the contrapositive of a statement? A) The opposite of the statement B) A different version of a graph C) A method of solving equations D) A way to calculate volume E) A visual explanation None 10. What is the converse of the statement “If A, then B”? A) If B, then A B) If not A, then not B C) If A, then B is false D) A and B are both false E) A does not exist None 11. What does biconditional mean? A) The statement is sometimes true B) The statement is only true if one side is true C) The statement is true in both directions D) The statement contains two graphs E) It’s a random relationship None 12. What is a counterexample? A) A true example that supports a statement B) A graph with values C) An example that shows a statement is false D) A conclusion in geometry E) A value inside a triangle None 13. What is a logical argument A) A set of opinions B) A series of statements that support a conclusion C) A formula with variables D) A pattern on a number line E) A group of diagrams None 14. What does assumption mean in logic? A) A proven law B) A result of calculation C) A fact shown on a graph D) A statement believed to be true for reasoning E) A decimal that ends None 15. What is a conditional statement? A) A chart with values B) A number sentence without meaning C) A statement written as “if… then…” D) A final answer E) A table with measurements None Time's upTime is Up!
