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Square and Cube
The square of a positive number is twice as big as the cube of that number. What is the number?
What Makes a Good Mathematician?
More Christmas Boxes
What size square should you cut out of each corner of a 10 × 10 grid to make the box that would hold the greatest number of cubes?
Clever Santa
All the girls would like a puzzle each for Christmas and all the boys would like a book each. Solve the riddle to find out how many puzzles and books Santa left.
Colour in the Square
Can you put the 25 coloured tiles into the 5 × 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
2-Digit Square
A 2-digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?