IB Maths AI AHL 3.15: Adjacency Matrices Worksheet

Develop graph theory and matrix skills with this IB Maths AI HL AHL 3.15 Adjacency Matrices worksheet, including a teacher answer key.

Designed for IB Mathematics: Applications and Interpretation Higher Level, this 15-page printable PDF provides structured practice connecting graphs, networks and matrix calculations.

Topics covered

• Core vocabulary: adjacency matrices, directed graphs, walks and transition matrices
• Constructing adjacency matrices using the row-to-column convention
• Using matrix powers to count and interpret walks of a given length
• Counting walks with fewer than a specified number of edges
• Directed graphs and unknown-edge problems
• Weighted adjacency tables and comparing route costs
• Transition matrices and two-step weather probabilities

What is included?

• Ten sections of questions, A–J, progressing from vocabulary to extended problems
• A teacher answer key with worked calculations and explanations
• A printable PDF for classroom practice, homework or independent revision

Use alongside the matching lesson slides and notes to consolidate IB Maths AI AHL 3.15 and support revision of graph theory and networks.

Complete the AHL 3.15 set

• Adjacency Matrices lesson slides
• Adjacency Matrices notes