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 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 29 - 2017

Rick has five cubes. Each one is 2cm taller than the previous one. The largest cube is the same height as a tower built of the two smallest cubes. How high would a tower of all five cubes 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 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 9 - 2008

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

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 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 49 - 2011

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

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 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 2 - 2013

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

Amy misread a question and got an incorrect answer. What should the answer have be?

Weekly Problem 13 - 2017

What is the smallest number Anastasia could have thought of, if after performing some operations, the total is a square number?

Weekly Problem 39 - 2017

Clement and Dmitri both measure how much taller they are standing on a table compared to the other standing on the floor. Can you work out how tall the table is?

Can you work out how many brothers and sisters are in the family?

Can you find the volume of a cuboid, given its perimeters?

Weekly Problem 37 - 2016

By drawing 5 horizontal and four vertical lines, one can form 12 rectangles. What is the greatest number of rectangles that can be formed by drawing 15 lines?

Weekly Problem 2 - 2010

Can you solve this 'KANGAROO' alphanumeric subtraction?

25 of the storeys of a 50 storey building are painted gold, and the rest are painted black...

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 36 - 2006

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