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, 2024

Algebra Difficulty 5.0 AIME, harder Prove it United Kingdom

The Intermediate Maths Challenge has 25 questions with the following scoring rules: 5 marks are awarded for each correct answer to Questions 1-15; 6 marks are awarded for each correct answer to Questions 16-25; Each incorrect answer to Questions 16-20 loses 1 mark; Each incorrect answer to Questions 21-25 loses 2 marks. Where no answer is given 0 marks are scored. Fiona scored 80 marks in total. What possible answers are there to the number of questions Fiona answered correctly?

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.