UKMT Junior Challenge Practice — Paper 3
UKMT Junior Mathematical Challenge practice paper 3: 30 questions in 60 minutes, marked 5 / 6 with no penalty, exactly like the real JMC, with a worked soluti
About this test
UKMT Junior Challenge Practice — Paper 3 is a full 30-question paper you attempt online in 60 minutes. It follows the American Mathematics Competition 10 pattern, so the timing, the question style and the marking match the real exam. There is no negative marking, so it is worth attempting every question.
You get your score the moment you submit, question by question, with a step-by-step solution to every problem. 25 questions in 75 minutes. A high score qualifies for the AIME.
What it covers
Sections
- Percentages — 2 questions
- Remainders — 2 questions
- Number patterns — 2 questions
- Area and perimeter — 2 questions
- Fractions — 2 questions
- Angles — 2 questions
- Arrangements — 2 questions
- Money — 2 questions
- Factors — 2 questions
- Averages — 2 questions
- Logic — 2 questions
- Speed — 2 questions
- Counting shapes — 2 questions
- Digit puzzles — 2 questions
- Counting pairs — 2 questions
Difficulty spread
- 11 easy questions
- 13 medium questions
- 6 hard questions
A look at the questions
Questions people ask
How is this paper marked?
Marked 5 / 6 with no penalty, exactly like the real JMC. A blank always scores zero.
How long should it take?
60 minutes, matching the real challenge. The questions get harder towards the end, so do not expect to finish — deciding which to attempt is part of the skill.
Are solutions included?
Yes, every question has a worked solution that names the method, so a wrong answer tells you what to revise.