Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?

When the number x 1 x x x is multiplied by 417 this gives the answer 9 x x x 0 5 7. Find the missing digits, each of which is represented by an "x" .

Explore these X-dice with numbers other than 1 to 6 on their faces. Which one is best?

6 tiles are placed in a row. What is the probability that no two adjacent tiles have the same letter on them?

Find the sides of an equilateral triangle ABC where a trapezium BCPQ is drawn with BP=CQ=2 , PQ=1 and AP+AQ=sqrt7 . Note: there are 2 possible interpretations.