50 years of the IMA in Scotland
Event Date: Scottish
50 years of the IMA in Scotland Abstract It is 50 years since Professor Donald Pack was part of the […]
Greek crosses puzzle
Puzzles
A square can be cut into six pieces that can then be arranged to form two different Greek crosses as […]
Three circles in a triangle puzzle
Puzzles
In an equilateral triangle with side length 1 what is the largest area that can be covered by three non-overlapping […]
Find the number A puzzle
PuzzlesThe number B is obtained by removal of the last digit of the four-digit number A. Given A + B [...]
Sequence of positive integers puzzle
Puzzles
Let xn be a sequence of positive integers satisfying x1 = 4, x2 = 6 and xn + 1 is […]
Right-angled triangle puzzle
Puzzles
In the right-angled triangle below, a and b are integers and b < 2010. Find a and b. Right-angled triangle […]
Area of circle outside of the square
Puzzles
In the diagram the circle and square have the same centre and the same perimeter. What fraction of the area […]
Sum of consecutive positive integers puzzle
Puzzles
2010 can be written as the sum of consecutive positive integers in several different ways. For example: 2010 = 669 […]
Find the angle labelled alpha
Puzzles
ABCD is a square. Find the angle labelled alpha. Angle labelled alpha solution Problem Page Coordinator: Stephen Lee CMath MIMA […]
Anagram of two thousand and eleven
Puzzles"aaddeeehlnnnoosttuvw" is an anagram of ‘two thousand and eleven’. But it is also an anagram of a smaller number. What [...]