Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
From a group of any 4 students in a class of 30, each has exchanged Christmas cards with the other three. Show that some students have exchanged cards with all the other students in the class. How many such students are there?
How many ways can you write the word EUROMATHS by starting at the top left hand corner and taking the next letter by stepping one step down or one step to the right in a 5×5 array?
What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.
Suppose you had to begin the never ending task of writing out the natural numbers: 1, 2, 3, 4, 5.... and so on. What would be the 1000th digit you would write down.
Can you place the nine cards onto a 3×3 grid such that every row, column and diagonal has a product of 1?
If p is a positive integer and q is a negative integer, which of these expressions is the greatest?
