Counting, Permutations & Combinations Pack

An 80-question counting and combinatorics practice pack for secondary maths, covering counting principles, factorials, permutations and combinations.

This ready-to-use resource provides structured practice from foundational skills through to more challenging problems. It is designed to help students build confidence in choosing and applying appropriate counting methods.

What’s included:

• 20 Basic Counting Principles questions
• 20 Factorials questions
• 20 Permutations questions
• 20 Combinations questions
• Formula Reference
• Quick Decision Guide
• Worked Answer Key

Topics covered include:

• Multiplication and addition principles
• Systematic casework
• Factorial notation and simplification
• Linear permutations
• Arrangements with objects or people together
• Arrangements with objects or people separated
• Alternating arrangements
• Arrangements with repeated objects
• Choosing groups and committees
• “At least” conditions
• Required or excluded members
• “Exactly” conditions
• Mixed and challenge problems

Questions progress from Foundation to Apply and Challenge, making the resource suitable for class practice, independent work, revision, homework or additional practice.

Each question includes space for students to show their working. Mathematical notation is presented clearly and consistently throughout.

File formats / sizes included:

• A4 printable PDF
• US Letter printable PDF

Language: English

Created by Mathory Studio — Thoughtful Math Resources for Teachers.