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 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 23 - 2011

MatildaMatildaMatil... What is the 1000th letter?

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 50 - 2011

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

Weekly Problem 5 - 2016

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

Weekly Problem 36 - 2010

How many squares are needed to continue this pattern?

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 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 42 - 2012

What number appears immediately below 400 in the triangle?

Weekly Problem 27 - 2010

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

Weekly Problem 14 - 2016

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

Weekly Problem 35 - 2010

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

Weekly Problem 8 - 2011

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

Weekly Problem 24 - 2017

What is the last digit of $3^{2011}$?

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?

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?