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 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 36 - 2010
How many squares are needed to continue this pattern?
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 8 - 2011
This grocer wants to arrange his fruit in a particular order, can you help him?
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 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 23 - 2011
MatildaMatildaMatil... What is the 1000th letter?
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 8 - 2017
A pattern repeats every six symbols. What are the 100th and 101st symbols?
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 5 - 2016
How many hexagons are required for the perimeter of the whole shape to have length 1002cm?
Weekly Problem 35 - 2010
Knights always tell the truth. Knaves always lie. Can you catch these knights and knaves out?
Weekly Problem 14 - 2016
In a supermarket, there are two lines of tightly packed trolleys. What is the length of one trolley?
Weekly Problem 30 - 2016
The robot Lumber9 moves along the number line. Where will the robot be after 2011 slides?
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?
Can you work out what fraction of this grid is shaded?