Weekly problem 47 - 2006

Cibara numerals are the same shape as Arabic numerals, but are used in the opposite order. Working in Cibara numerals, what is the answer to 837 + 742?

Weekly Problem 26 - 2011

Alberta won't reveal her age. Can you work it out from these clues?

Weekly Problem 7 - 2009

Tony and Tina can't work out which of them owes what to the other. Can you?

Weekly Problem 1 - 2007

Three integers have a sum of 1 and a product of 36 - what are they?

Weekly Problem 31 - 2011

Can you find a number and its double using the digits $1$ to $9$ only once each?

Weekly Problem 10 - 2009

In how many ways can you give change for a ten pence piece?

Weekly Problem 44 - 2007

Gill and I went to a restaurant for lunch to celebrate her birthday....We agreed to split the total cost equally. How much did I owe Gill?

Weekly Problem 16 - 2009

Arrange these three famous mathematicians in order with the shortest-lived first.

Weekly Problem 17 - 2008

If p is a positive integer and q is a negative integer, which of these expressions is the greatest?

Weekly Problem 32 - 2017

Itchy has a million fleas. His anti-flea leaves no more than 1% of the original fleas after use. What is the least number of fleas that the shampoo will remove?

Weekly Problem 53 - 2011

Find a number between 100 and 999 that has its middle digit equal to the sum of the other two digits. Can you find all possibilities?

Weekly Problem 25 - 2009

Jack does a 20-question quiz. How many questions didn't he attempt?

Weekly Problem 21 - 2008

The sum of each column and row in this grid give the totals as shown. What number goes in the starred square?

When is the next time that Brian's age will be the reverse of his father's age?

Weekly Problem 16 - 2012

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Weekly Problem 32 - 2009

I have a max/min thermometer in my greenhouse. What were the maximum and minimum temperatures recorded when I looked at it on Wednesday evening?

Weekly Problem 27 - 2008

Can you find squares within a number grid whose entries add up to an even total?

Weekly Problem 10 - 2006

Tick's watch is slow and Tock's watch is fast. How long is it before their watches differ by an hour?

Weekly Problem 47 - 2008

Can you solve this magic square?

David listed ten consecutive numbers and removed one of them. Which number did he remove?

Sara makes a list of the whole numbers that do not contain any 9s. What is the 300th number on her list?

Let N be the smallest positive integer whose digits add up to 2015. What is the sum of the digits of N+1?

Weekly Problem 33 - 2010

How many positive integers $n$ exist for which $n^2$ has the same number of digits as $n^3$?

Weekly Problem 3 - 2014

Can you work out the value of P+Q+R in the multiplication shown?

Create 24 numbers from four digits. Why is 101 always a factor of their sum?