2 out of 3
Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
2 out of 3
Albert Einstein is experimenting with two unusual clocks. At what time do they next agree?
2 out of 3
If all the arrangements of the letters in the word ANGLE are written down in alphabetical order, what position does the word ANGLE occupy?
2 out of 3
In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?
2 out of 3
How many triples of points are there in this 4×4 array that lie on a straight line?
3 out of 3
To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?
3 out of 3
At how many times between 10 and 11 o'clock are all six digits on a digital clock different?
3 out of 3
The teacher has forgotten which pupil won which medal. In how many different ways could he give the medals out to the pupils?
3 out of 3
From this sum of powers, can you find the sum of the indices?
3 out of 3
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 $n+4$?
