Where to start

A fresh grid has forty or fifty empty cells. Looking at all of them at once gets you nowhere. It pays to have an order: look first for what you can see quickly, and only then for what takes work.

The order

The rule that matters most is also the one most often forgotten: after every number, go back to the start. A new number may complete a unit or leave a box with a single place for another number. Looking for pairs with a last number in view is doing the hard thing before the easy one.

Start with the number that appears most

A number that is already in the grid seven times only has two places left to fill. Its seven rows and seven columns cross out almost everything. That is where you start.

  1. At the start of this puzzle, the 9 appears seven times; no other number appears more than four. Two are missing: one in box 1, the other in box 8.
  2. In box 1, the 9s in rows 2 and 3 cross out the bottom two rows of the box. Of the seven empty cells, three are left.
  3. The 9s in columns 1 and 2, further down, cross out two of the three that were left.
  4. The cell in row 1, column 3 is left: that is where the 9 of box 1 goes. The same happens in box 8. The 9 is complete before you have looked at any other number.

A number that appears five or six times usually gives you something too. One that appears once or twice hardly ever does at first; leave it until the grid is fuller.

When you get stuck

Your turn

Positions from puzzles halfway through. Place a number, any one that can be found with the Easy techniques: last number, hidden single or naked single.