UKMT Challenges

Instructions
1. Do not start the Challenge until the invigilator tells you to do so.

2. Time allowed: 60 minutes.
No answers, or personal details, may be entered after the allowed time is over.

3. The use of blank or lined paper for rough working is allowed; squared paper, calculators and measuring instruments are forbidden.

4. Do not expect to finish the whole paper in the time allowed. The questions in this paper have been arranged in approximate order of difficulty with the harder questions towards the end. You are not expected to complete all the questions during the time. You should bear this in mind when deciding which questions to tackle.

6. 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;
 - In this paper you will not lose marks for getting answers wrong.
 - Answers left blank will marked as 0.

7. The questions on this paper are designed to challenge you to think, not to guess. You will gain more marks, and more satisfaction, by doing one question carefully than by guessing lots of answers. This paper is about solving interesting problems, not about lucky guessing.

Junior Kangaroo 2023 - Northern Ireland Year 7 and below

During this practice competition you will receive immediate feedback on your answer.

(During the official challenge you will not see whether you have answered a question correctly or not.)