The Gauss Mathematics Contest, administered by the Centre for Education in Mathematics and Computing (CEMC) at the University of Waterloo, is one of North America's most prestigious and widely written mathematics competitions for Grades 7 and 8. More than 60,000 students participate annually. Whether you are a student aiming for a top score or a teacher looking to enrich your programme, this guide covers everything you need.
What Is the Gauss Contest?
Named after the legendary mathematician Carl Friedrich Gauss, the contest is a multiple-choice test offered at two levels: Grade 7 and Grade 8, administered in May each year at registered schools worldwide. The contest is designed to be accessible to all students while presenting significant challenge to the highest achievers — the famous "floor to ceiling" design that competition mathematicians value.
Contest Format
- Duration: 60 minutes
- Questions: 25 multiple-choice problems (5 choices each)
- Scoring: Part A (10 questions, 5 pts) + Part B (10 questions, 6 pts) + Part C (5 questions, 8 pts)
- Perfect score: 150 points
- Topics: Arithmetic, number theory, geometry, algebra, data management, and logical reasoning
Who Should Enter?
The Gauss Contest is appropriate for virtually any Grade 7 or 8 student. The first 15–18 questions are accessible to students with solid grade-level understanding. Only the final 5–7 require creative problem-solving beyond the standard curriculum — making it an excellent stretch activity even for students who do not identify as "math people."
Preparation Strategies
Use Past Papers Strategically
CEMC makes all past contest papers freely available at cemc.uwaterloo.ca. Work through past papers under timed conditions, then study solutions for every missed question — not just the hardest ones.
Topic Priority List
- Number theory: divisibility rules, prime factorisation, GCF, LCM
- Proportion and percent: rate problems, percent increase/decrease
- Geometry: area, perimeter, angle relationships, similarity
- Combinatorics: counting principles, organised lists
- Algebra: pattern recognition, solving simple equations
The 3-Minute Rule
Spend 3 minutes on each problem independently before looking at the solution. For any problem solved in under 1 minute, look for a more elegant solution. Spend extra time writing the key insight for missed problems in your own words.
Sample Problem
Sample (Part B difficulty): The three-digit number 4a7 is divisible by 9. What is the value of the digit a?
Solution: A number is divisible by 9 when the sum of its digits is divisible by 9. So 4 + a + 7 = 11 + a must be divisible by 9. The next multiple of 9 after 11 is 18. So a = 7.
Using Gauss in the Classroom
- Use past Part A questions as weekly warm-ups for all Grade 7–8 students
- Form a Gauss Club meeting once per week to solve and discuss problems
- Use the contest as formative assessment — question types reveal which concepts need reinforcement
- Analyse class results to identify shared misconceptions
- Celebrate participation, not just results
Results and Recognition
All participating students receive a certificate. High scorers receive Distinction or Honour Roll recognition. Top individual results are published in the CEMC Results Bulletin, used by selective academic programmes as an indicator of mathematical talent.
⚡ Key Takeaways
- The Gauss Contest is open to all Grade 7–8 students — it is accessible, not just for elite problem-solvers.
- Past papers on cemc.uwaterloo.ca are your single best preparation resource.
- Focus on elegant solution methods, not answer-grinding.
- Use Part A questions as classroom warm-ups to build competition mathematics into the regular curriculum.
- Celebrate participation — the growth mindset benefits extend well beyond competition day.