Weekly Problem 22 - 2012

What number could replace * so that */5 is between 3 and 4?

Weekly Problem 24 - 2009

Each letter stands for a different digit, and S is non-zero. Which letter has the lowest value?

Weekly Problem 32 - 2010

For what numbers are each of these statements true? How many of the statements can be true at the same time?

Weekly Problem 42 - 2010

Can you find the solution to this equation? Each of the different letters stands for a different number.

Weekly Problem 1 - 2013

The product of Mary's age at her last birthday and her age in complete months is 1800. How old is Mary?

Weekly Problem 21 - 2006

A table has blocks of wood placed on and next to it. Can you work out how tall it is?

Weekly Problem 3 - 2015

In a 7-digit numerical code, each group of four consecutive digits adds to 16, and each group of five consecutive digits adds to 19. What is the sum of all 7 digits?

Weekly Problem 21 - 2015

For how many positive values of $n$ are both $\frac n2$ and $2n$ three-digit whole numbers?

Weekly Problem 21 - 2007

Granny has taken up deep-sea fishing! Last week, she caught a fish so big that she had to cut it into three pieces in order to weigh it. The tail weighed 9kg and the head weighed the same as the tail plus one third of the body. The body weighed as much as the head and tail together. How much did the whole fish weigh?

Weekly Problem 11 - 2008

The mean of three numbers, x, y and z is x. What is the mean of y and z?

Weekly Problem 26 - 2008

If $n$ is a positive integer, how many different values for the remainder are obtained when $n^2$ is divided by $n+4$?

Weekly Problem 2 - 2014

Weighing the baby at the clinic was a problem. Can you work out the total weight of the baby, the nurse and me from the information given?

Weekly Problem 35 - 2008

A child's box of bricks contains cubes, cones and spheres. Can you work out how many spheres will balance a single cone?

Weekly Problem 17 - 2007

If $a \times b=2$, $b \times c=24$, $c \times a=3$ and $a$, $b$ and $c$ are positive, what is the value of $a+b+c$?