Weekly Problem 36 - 2012

Can you work out how many more boys are in group 1 than girls are in group 2?

Weekly Problem 39 - 2012

For how many values of $n$ are both $n$ and $\frac{n+3}{n−1}$ integers?

Weekly Problem 49 - 2011

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

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 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 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?

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

Weekly Problem 12 - 2009

A car can go r miles on s gallons of petrol. How many gallons of petrol would it need for a journey of t miles?

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 - 2010

Can you solve this 'KANGAROO' alphanumeric subtraction?

Weekly Problem 28 - 2010

Manipulate one algebraic fraction to solve another.

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 3 - 2014

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

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 25 - 2014

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

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 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 23 - 2015

Can you simplify this algebraic expression with many divisions?

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 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 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 52 - 2016

Find four integers whose sum is 400 and such that the first integer is equal to twice the second integer, three times the third integer and four times the fourth integer.

Weekly Problem 14 - 2017

The numbers 2 up to 8 are to be placed in the diagram on the right such that the row and column add up to 21. Which numbers can replace x?

Weekly Problem 13 - 2017

Anastasia thinks of a number. Each of her friends performs an operation on it. The total of these is a square number. What is the smallest number Anastasia could have thought of?

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?