List

Conjecturing and Generalising - Short Problems

Bishop's Paradise
problem

Bishop's Paradise

Age
11 to 14
Challenge level
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Weekly Problem 37 - 2013
Which of the statements about diagonals of polygons is false?
Little Difference
problem

Little Difference

Age
14 to 16
Challenge level
filled star filled star empty star
What is the value of $2015 \times 2017 - 2016 \times 2016$?
Last-but-one
problem

Last-but-one

Age
14 to 16
Challenge level
filled star filled star empty star
What is the last-but-one digit of 99! ?
Producing an Integer
problem

Producing an Integer

Age
14 to 16
Challenge level
filled star filled star filled star
Multiply a sequence of n terms together. Can you work out when this product is equal to an integer?
Super Computer
problem

Super Computer

Age
14 to 16
Challenge level
filled star filled star filled star
What is the units digit of the given expression?