Weekly Problem 17 - 2013

Anna has 3 brothers and 5 sisters. What is the product of the number of brothers and number of sisters that her brother Tom has?

Weekly Problem 49 - 2011

How long will it take Inspector Remorse to crack this crime spree?

Weekly Problem 28 - 2009

How much does $u$ litres of unleaded cost in terms of the cost per litre of 4 star petrol?

Weekly Problem 29 - 2016

Paul is 32 years old. In ten years time, Paul's age will be the sum of the ages of his three sons. What do the ages of his sons add up to at present?

Weekly Problem 34 - 2006

Seventy pupils are divided into two groups. Can you work out the differnece between the number of boys in group 1 and the number of girls in group 2?

Weekly Problem 31 - 2009

Think of any whole number. Each time you perform a sequence of operations on it, what do you notice about the divisors of your answer?

Weekly Problem 50 - 2009

Tom and Jerry start with identical sheets of paper. Each one cuts his sheet in a different way. Can you find the perimeter of the original sheet?

Weekly Problem 2 - 2013

After performing some operations, what number is your answer always a multiple of?

Weekly Problem 35 - 2013

The hour hand on the Mad Hatter's watch moves normally, but the minute hand moves too fast! When will it next show the correct time?

Weekly Problem 34 - 2011

Lauren and Thomas tell their ages in terms of sums of squares. Can you work out how old they really are?

Weekly Problem 43 - 2008

A knitted scarf uses three balls of wool. How many balls of wool do I have at the end of the day?

Weekly Problem 28 - 2016

Last week, Tom and Sophie bought some stamps for their collections. Each stamp Tom bought cost him £1.10, whilst Sophie paid 70p for each of her stamps. Between them they spent exactly £10. How many stamps did they buy in total?

Weekly Problem 14 - 2006

Given the rates at which men can paint, how long will it take them to paint the Forth Bridge?

Weekly Problem 19 - 2012

The diagram shows a large rectangle composed of 9 smaller rectangles. If each of these rectangles has integer sides, what could the area of the large rectangle be?

Weekly Problem 24 - 2014

The square of a positive number is twice as big as the cube of that number. What is the number?

Weekly Problem 13 - 2007

The Bean family are very particular about beans. At every meal all Beans eat some beans... At their last meal they ate 23 beans altogether. How many beans did Pa Bean eat?

Weekly Problem 25 - 2014

Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?

Weekly Problem 34 - 2007

Inspector Remorse had a difficult year in 2004. Find the percentage change in the number of cases solved in 2004 compared with 2003.

Weekly Problem 9 - 2008

The sum of 9 consecutive positive whole numbers is 2007. What is the largest of these numbers?

Weekly Problem 16 - 2015

In the diagram, the number in each box is obtained by adding the two immediately below. What is the number in the top box?

Weekly Problem 28 - 2010

Manipulate one algebraic fraction to solve another.

Weekly Problem 12 - 2008

A male punky fish has 9 stripes and a female punky fish has 8 stripes. I count 86 stripes on the fish in my tank. What is the ratio of male fish to female fish?

Weekly Problem 23 - 2015

Can you simplify this algebraic expression with many divisions?

Weekly Problem 36 - 2006

Which of these five algebraic expressions is largest, given $x$ is between 0 and 1?

Weekly Problem 43 - 2014

The base of a pyramid has n edges. What is the difference between the number of edges the pyramid has and the number of faces the pyramid has?

Weekly Problem 2 - 2010

Can you solve this 'KANGAROO' alphanumeric subtraction?

Weekly Problem 3 - 2014

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