Every row and every column holds exactly the same numbers, just in a different order, with signs between them and a total at the end. Rearrange them so every line makes its total.
The catch is BODMAS: 3 + 5 × 2 is 13, not 16, because the multiplication comes first. So the same three numbers can make quite different totals depending on their order.
On the Expert levels and above the signs move as well as the numbers. Every puzzle has exactly one answer; locked tiles are there to make sure of it.
Rearrange the same set of numbers in every row and column so each line, worked out with BODMAS, makes its total.
The full guide, with a worked example and common mistakes: How to play Number Order.
Yes — every puzzle is checked, and locked tiles are added where needed to make it unique.
From level 5 (Expert) the signs can be swapped within their row or column too.
A power: 2 ^ 3 = 2 × 2 × 2 = 8. It is worked out before × and ÷. Powers appear on the Genius level.