Weekly Problem 27 - 2010

This pattern repeats every 12 dots. Can you work out what a later piece will be?

Weekly Problem 30 - 2016

The robot Lumber9 moves along the number line. Where will the robot be after 2011 slides?

Weekly Problem 40 - 2012

What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?

Weekly Problem 35 - 2010

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

Weekly Problem 42 - 2012

What number appears immediately below 400 in the triangle?

Weekly Problem 51 - 2016

Pegs numbered 1 to 50 are placed in a row. Alternate pegs are knocked down, and this process is repeated. What is the number of the last peg to be knocked down?

Weekly Problem 50 - 2011

Repeat a pattern of numbers to form a larger number. Can you find the sum of all the digits?

Weekly Problem 36 - 2010

How many squares are needed to continue this pattern?

Weekly Problem 8 - 2017

A pattern repeats every six symbols. What are the 100th and 101st symbols?

Weekly Problem 9 - 2007

Walking up a steep hill, I pass 10 equally spaced street lamps. How long do I take to walk from the first lamp to the last?

Weekly Problem 8 - 2011

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

Weekly Problem 31 - 2007

Trinni rearanges numbers on a clock face so each adjacent pair add up to a triangle number... What number did she put where 6 would usually be?

Weekly Problem 17 - 2011

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

Weekly Problem 5 - 2016

How many hexagons are required for the perimeter of the whole shape to have length 1002cm?

Weekly Problem 23 - 2011

MatildaMatildaMatil... What is the 1000th letter?

Weekly Problem 6 - 2016

Luis writes down seven consecutive positive integers. The sum of the three smallest numbers is 33. What is the sum of the three largest numbers?

Weekly Problem 20 - 2008

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?

From only the page numbers on one sheet of newspaper, can you work out how many sheets there are altogether?

Weekly Problem 14 - 2016

In a supermarket, there are two lines of tightly packed trolleys. What is the length of one trolley?

Weekly Problem 41 - 2012

The fifth term of a Fibbonaci sequence is 2004. If all the terms are positive integers, what is the largest possible first term?

Weekly Problem 44 - 2012

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

Weekly Problem 51 - 2006

Can you work out which number will appear directly below 400 in this pattern?

Weekly Problem 52 - 2010

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

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 51 - 2017

How many numbers less than 2017 are both the sum of two consecutive integers and the sum of five consecutive integers?

Weekly Problem 35 - 2014

A sequence is generated using these rules. For which values of n is the nth term equal to n?

Weekly Problem 1 - 2008

Given that the number 2008 is the correct answer to a sum, can you find n?