Kept Apart
The squares of this grid contain one of the letters P, Q, R and S. Can you complete this square so that touching squares do not contain the same letter? How many possibilities are there?
The squares of this grid contain one of the letters P, Q, R and S. Can you complete this square so that touching squares do not contain the same letter? How many possibilities are there?
What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?
The digits 1-9 have been written in the squares so that each row and column sums to 13. What is the value of n?
An examination paper is made from five pieces of paper. What is the sum of the other page numbers that appear on the same sheet as page 5?
A whole number less than 100 gives remainders of 2, 3 and 4 when divided by 3, 4 and 5. What is the remainder when it is divided by 7?
I made a list of every number that is the units digit of at least one prime number. How many digits appear in the list?
In how many ways can seven of the numbers 1-9 be chosen such that they add up to a multiple of 3?
Weekly Problem 17 - 2010
The value of the factorial $n!$ is written in a different way. Can you work what $n$ must be?
Tina has chosen a number and has noticed something about its factors. What number could she have chosen? Are there multiple possibilities?