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
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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! ?
Super Computer
problem

Super Computer

Age
14 to 16
Challenge level
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What is the units digit of the given expression?
Producing an Integer
problem

Producing an Integer

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