Reasoning, convincing and proving

problem
Perception versus reality

Age

14 to 18

Challenge level

Infographics are a powerful way of communicating statistical information. Can you come up with your own?
problem
Picturing the world

Age

14 to 16

Challenge level

How can we make sense of national and global statistics involving very large numbers?
problem
Play to 37

Age

7 to 11

Challenge level

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
problem
Spot the fake

Age

14 to 16

Challenge level

One of N coins is slightly heavier than the others. How large can N be if the coin can be determined with only two weighings with a set of scales?
problem
Down and along

Age

11 to 14

Challenge level

Can you work out the values of J, M and C in this sum?
problem
Digital counter

Age

14 to 16

Challenge level

When the numbers from 1 to 1000 are written on a blackboard, which digit appears the most number of times?
problem
Digital book

Age

11 to 14

Challenge level

If it takes 852 digits to number all the pages of a book, what is the number of the last page?
problem
Multiplication magic square

Age

11 to 14

Challenge level

Weekly Problem 32 - 2015
Can you work out the missing numbers in this multiplication magic square?
problem
Mini cross-number

Age

11 to 14

Challenge level

Which digit replaces x in this crossnumber?
problem
The London Eye

Age

14 to 16

Challenge level

The 80 spokes of The London Eye are made from 4 miles of cable. What is the approximate circumference of the wheel?