Patterns in Number Sequences

Summing Consecutive Numbers

Stage: 3 Challenge Level: Challenge Level:1

This problem offers a simple context for students to explore, make generalisations and prove conjectures, working numerically and algebraically.

Shifting Times Tables

Stage: 3 Challenge Level: Challenge Level:1

This problem encourages students to think about the properties of numbers. It could be used as an introduction to work on linear sequences and straight line graphs.

Charlie's Delightful Machine

Stage: 3 and 4 Challenge Level: Challenge Level:1

This problem could be used to reinforce work on recording and describing linear sequences.