The living room of my house contains a mirror which is positioned so that I can see a reflection of the digital clock when I am standing in the hallway. For example, at 12:15 I can see the following: 21:51I have to be careful, because if I forget that it is a reflection I might think that it is 21:51.On the next occasion that the mirror appears to show a real time, what time will be shown in the mirror?

Anita is tiling her bathroom walls. She is using hexagonal tiles which are all either plain black, black and white striped, or chequered. She is making sure that no two adjacent tiles have the same pattern,What patterns will tiles X and Y be?

Jack has decided that he would like to improve his Japanese and is considering a number of options that are available to him. The options are summarised in the table below.Jack needs an Intermediate course starting immediately and can only pay up to $50 in total in any month. As he works between 09:00 and 17:00 each day Monday to Friday he needs a course that is not within these times.What is the cheapest total cost that Jack could pay for his course?

Cabbi Taxis used to charge $1.50 for a journey, plus 40¢ per ¼ kilometre or part of ¼ kilometre. Recently the company has changed its fare structure and now charges $10 for all journeys of 5 kilometres or less, plus an extra $1 for every further kilometre or part of a kilometre. Whenever I have by train i hire cabbi Taxis to take me to the station, a journey of 11.2 kilometres. How much more or less than previously does my journey to the station now cost?

After Ken's funeral, his wife Helen decided to offer his collection of CDs to members of his local Jazz Club.As there were so many CDs, it was not possible for all of them to take some home, so 60% of the collection was put into a box from which members could take the ones they wanted. By the end of the meeting half of these had been taken.A week later, a further 30% of the original collection was added to the box. During this meeting three quarters of the CDs in the box were taken.At the third meeting, the rest of the collection was added to the box. There were now 40 CDs for the members to choose from.How many CDs were there in the original collection?

A newspaper runs a new game called newdoku. Three different letters are written on a 4 x 4 grid and the totals of three of the lines are given. From these the value of each letter and hence the total of each line can be worked out. This is today's game:What is the total of the top row of the grid?

The 'Healthy Options' shop serves a range of organic foods. The manager has employed a new assistant and has asked her to prepare 30kg of their 'nut and raisin' mix, which should consist of 30% peanuts, 20% hazelnuts and 50% raisins. The assistant has, however, made a mix using 10kg of each. The manager told her to add the minimum amount of extra ingredients to make the proportions right.What should be the mass of the final mix (to the nearest 1kg if necessary)?