Letter and Word Multipliers: The Order the Math Happens In

The order, in one paragraph

A letter premium multiplies one tile, before anything is added up. A word premium multiplies the finished word, after every tile has been added up. If one play covers two word premiums, they multiply against each other, so a double and a triple is a six, not a five. The 50 for laying all seven tiles goes on at the very end and is not multiplied by anything.

Rack Up's scoring engine runs that order in these steps, every turn:

1. Multiply each tile's face value by the letter premium under it: double letter, triple letter, or quadruple letter on the sets that have one.
2. Add those marked-up tiles together to get the word's total.
3. Multiply that total by the word premium the play covers, and by both premiums if it covers two.
4. Do the same for every other word the turn forms, then add the words together.
5. Add 50 if the play laid all seven tiles. A flat 50, applied last, multiplied by nothing.

One turn, all the way through

Say the play is QUARTZ, the Z lands on a double letter square, and the word reaches a triple word square.

Face values are Q 10, U 1, A 1, R 1, T 1, Z 10. The Z is the only tile on a letter premium, so it becomes 10 x 2 = 20 and nothing else changes. Add the tiles as they now stand: 10 + 1 + 1 + 1 + 1 + 20 = 34. Then the word premium lands on that whole number rather than on any one tile: 34 x 3 = 102.

The order is the entire point. Sum the raw face values instead (24), triple them for 72, then remember the doubled Z and add another 10, and you land on 82. You have shorted yourself 20 points, because the doubled Z belonged inside the total that got tripled.

Two word premiums multiply, they do not add

A long play can reach two word premiums in one turn, and both count. They count in sequence, which is another way of saying they multiply.

ZEBRA is Z 10, E 1, B 3, R 1, A 1, which totals 16. Across a double word and a triple word that is 16 x 2 = 32, then 32 x 3 = 96. Add the premiums together instead and you get 16 x 5 = 80, so the sloppy version costs 16 points. Two doubles is x4, a double and a triple is x6, two triples is x9.

Rack Up handles that with a second row of word chips, Word x4, Word x6 and Word x9, tucked behind the three-dot button under Word x2 and Word x3. You pick the combined number rather than stacking two chips, and 2 x 2, 2 x 3 and 3 x 3 are the only products two word squares can make. That row doubles as the deluxe-board row, for sets that print a quadruple word square outright.

A premium square pays once, on the turn a tile lands on it

Premium squares are spent. They score on the turn a tile is newly placed on them, and never again. Extend that word three turns later and the old tiles bring their face value into the new total, but the premiums under them are gone.

CRATE is on the board and its C sits on a double word square from someone else's turn. You hook an S on the end. CRATES scores C 3 + R 1 + A 1 + T 1 + E 1 + S 1 = 8. Not 16. Whoever played CRATE collected that double, and the five old tiles now contribute nothing but their printed numbers.

Rack Up enforces the letter half of this for you. Mark a tile On Board and any letter premium on it comes off, and marking a letter premium clears On Board, because the two cannot both be true of one tile. The word premium stays your call, since the app has no board and cannot see which squares you crossed. The arithmetic is the app's job. Which squares the tiles landed on is a matter of fact for the people looking at the board. That same On Board mark does a second job on a turn that forms more than one word, where a shared tile has to be typed twice and counted once.

A blank on a letter premium is worth exactly nothing

A blank tile has a face value of zero, and a letter premium multiplies face value. Zero doubled is zero, zero tripled is zero. A blank standing in for a Z on a triple letter square scores 0, not 30, and that is the most common way a table talks itself into an inflated turn. The app will not even hold both marks at once: tap Blank and any letter premium on that tile clears, tap a letter premium and the Blank mark clears.

Word premiums behave differently, and that is the half people miss. A blank on a double word square still doubles the whole word, because a word premium applies to the total rather than to the tile. Play ZEBRA with a blank as the Z and the total is 0 + 1 + 3 + 1 + 1 = 6, and across a double word it is 12. The blank scores nothing itself and still doubles everything around it. The blank tile has a page of its own, including what naming one does to the tile counter and the single way a blank can cost you real points.

Letter times four, and where it stops being standard

A standard set has double letter and triple letter squares and nothing above them. Some deluxe editions and plenty of house boards add a quadruple letter, and Rack Up supports it: the Letter x4 chip sits behind the same three-dot button as On Board, and the tile then wears a 4L badge. An F goes from 4 to 16, a K from 5 to 20, an X from 8 to 32, and any of those inside a tripled word decides a game.

If your set does not print that square, it is not a rule at your table. If your house has always played one, the app will score it without complaint.

Step five, the one people fold in too early

The bonus for laying all seven tiles is a flat 50, and it goes on after every multiplier has been applied. QUIETLY uses all seven and totals Q 10, U 1, I 1, E 1, T 1, L 1, Y 4 = 19. Across a double word that is 19 x 2 = 38, then 38 + 50 = 88. Fold the bonus in before doubling and you post 138, a 50-point error nobody catches until the final tally refuses to reconcile. Whether the bonus is owed in the first place is a question about tiles rather than about letters, and it has a test of its own.

Rack Up runs this whole order for you, every turn, which leaves the table with the only question it should be arguing about: which squares the tiles actually landed on. Every number on this page can be checked against the app, and the cheapest way to check one is the free browser version, which runs the identical engine and plays a full game with no install and no purchase. It will hold the game you are in the middle of if you close the tab, and it carries nothing past the final score: no past games, no statistics beyond the one on screen, no running head to head. Those three are what the $2.99 app adds.