Topics

What you see below

• These topics are grouped into larger sections for simplicity. The order is not chronological.
• We only show the challenges completed by at least 1 participant. In 80% of the sessions we had more stretch tasks, but we keep them hidden to reuse in the future sessions. This applies to the published PDFs too.

Combined Challenges

No specific topic – problems touch all key concepts from the past term.

• Combined Challenges – Term 2 (Full PDF available)
• Combined Challenges – Term 3 (Full PDF available)

Arithmetic and Counting Stuff

• Place Signs
• Magic Squares
• Sets: Venn Diagrams
• Sets: Tables and Venn Diagrams (extension of the previous topic)
• Triangular Numbers (support topic for arithmetic progressions below)
• Sums of Arithmetic Progressions (Full PDF available)
• Counting and Totals
• Heads and Legs
• Remainders (Full PDF available)

Beginning of Algebra

• Systems of Equations (small numbers, substitution of a sum)
• Parentheses (helper topic, needed for equations)
• Reversed Calculations
• Introduce X (Full PDF available)

Logical Reasoning

• Ordering
• River Crossings
• Liars (making and verifying hypotheses!)

Basics of Number Theory

• Divisibility 1 (Introduction)
• Divisibility 2 (Colouring)
• Factorization and Primes
• Divisibility 3 (Uses Factorization)

Geometry

• Symmetries
• Square Grid Distances
• Mirror Symmetry Drawings (Full PDF available)
• Domino Tiling (first intro to proofs!)
• Tessellations

Combinatorics

• Combinatorics – Basic
• Worst Case (Full PDF available)
• Combinatorics – Symmetric Configurations (Full PDF available)
• Combinatorics – Pascal's Triangle (Full PDF available)
• Combinatorics – Factorials

Other Fun

• Fractals (Demo available, Full PDF available)
• Map Colouring
• Positional Counting Systems (Full PDF available)
• Dice Statistics (Demo available)
• Sequences