Patterns and Sequences Stage 4 - Short Problems

A collection of short Stage 4 problems on patterns and sequences



Weekly Problem 52 - 2010

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

Leonard writes down a sequence of numbers. Can you find a formula to predict the seventh number in his sequence?

Weekly Problem 41 - 2012

Stage: 4 Challenge Level: Challenge Level:1

Weekly Problem 41 - 2012

Weekly Problem 44 - 2012

Stage: 4 Challenge Level: Challenge Level:1

Consider two arithmetic sequences: 1998, 2005, 2012,... and 1996, 2005, 2014,... Which numbers will appear in both?

Weekly Problem 46 - 2012

Stage: 4 Challenge Level: Challenge Level:1

If a number is even, halve it; if odd, treble it and add 1. If a sequence starts at 13, what will be the value of the 2008th term?

Weekly Problem 29 - 2015

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

Weekly Problem 29 - 2015

Weekly Problem 34 - 2015

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 34 - 2015

Weekly Problem 39 - 2015

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

Weekly Problem 39 - 2015