Patterns and Sequences Stage 3 - Short Problems

A collection of short Stage 3 problems on patterns and sequences



Weekly Problem 3 - 2008

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

Counters are placed on an 8 by 8 chessboard... What fraction of the counters are on squares of the same colour as themselves?

Weekly Problem 20 - 2008

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

Grannie's watch gains 30 minutes every hour, whilst Grandpa's watch loses 30 minutes every hour. What is the correct time when their watches next agree?

Weekly Problem 38 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

This sequence is given by the mean of the previous two terms. What is the fifth term in the sequence?

Weekly Problem 35 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

Knights always tell the truth. Knaves always lie. Can you catch these knights and knaves out?

Weekly Problem 36 - 2010

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

How many squares are needed to continue this pattern?

Weekly Problem 8 - 2011

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

This grocer wants to arrange his fruit in a particular order, can you help him?

Weekly Problem 9 - 2011

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

Barbara is putting draughts on a $4x4$ board in a particular way. Can you find the least number of draughts she needs to put down?

Weekly Problem 17 - 2011

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Every third page number in this book has been omitted. Can you work out what number will be on the last page?

Weekly Problem 23 - 2011

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

MatildaMatildaMatil... What is the 1000th letter?

Weekly Problem 42 - 2012

Stage: 3 Challenge Level: Challenge Level:1

Weekly Problem 42 - 2012

Weekly Problem 6 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 6 - 2014

Weekly Problem 8 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 8 - 2014

Weekly Problem 35 - 2014

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

Weekly Problem 35 - 2014

Weekly Problem 8 - 2015

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

Weekly Problem 8 - 2015

Weekly Problem 11 - 2015

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

Weekly Problem 11 - 2015

Weekly Problem 13 - 2015

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

Weekly Problem 13 - 2015

Weekly Problem 44 - 2015

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

Weekly Problem 44 - 2015

Weekly Problem 45 - 2015

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

Weekly Problem 45 - 2015

Weekly Problem 47 - 2015

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

Weekly Problem 47 - 2015