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Posing Questions and Making Conjectures - Short Problems
Ones, Twos and Threes
Age 11 to 14
ShortChallenge Level 
Each digit of a positive integer is 1, 2 or 3, and each of these occurs at least twice. What is the smallest such integer that is not divisible by 2 or 3?
Leaning Over
Age 11 to 14
ShortChallenge Level
Weekly Problem 31 - 2017
The triangle HIJ has the same area as the square FGHI. What is the distance from J to the line extended through F and G?
Eulerian
Age 14 to 16
ShortChallenge Level
Weekly Problem 37 - 2014
Which of the five diagrams below could be drawn without taking the pen off the page and without drawing along a line already drawn?
Little Difference
Age 14 to 16
ShortChallenge Level
What is the value of $2015 \times 2017 - 2016 \times 2016$?
Producing an Integer
Age 14 to 16
ShortChallenge Level
Multiply a sequence of n terms together. Can you work out when this product is equal to an integer?