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?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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