Lingo has three modes, chosen in the game options: Classic, Bingo and Tournament. This guide starts with Classic and then covers the other two.
In Classic you have a card of 16 numbers. Each turn a word appears. If its letters can be combined with + − × ÷ to make one of the numbers on your card, tap that number to cross it off. Score for every number, and for every row, column and full card you complete.

The card is a 4×4 grid of 16 different numbers between 1 and 100. Some numbers carry a ×2 or ×4 badge: these are the hardest numbers to make, so they are worth more.
Every word has four letters, and each letter is worth its place in the alphabet: A=1, B=2 … Z=26. The values are shown under each letter. Other languages use their own alphabets, so letter values can differ; the General guide lists them.
Put a sign between each pair of letters, in order, using + − × ÷. Multiplication and division are worked out first (BIDMAS), and a division must come out exactly, with no remainder.
A word can often make more than one of your numbers. Tap whichever you spot. You don’t have to enter the sum, just tap the number: the game shows you the working afterwards.
There are 24 words in a game. Before you start, choose how long you get per turn: 20, 30 or 40 seconds.
Pick one language, or all twelve mixed together (polyglot). Words are common ones from the 4Sums word lists, and none repeats within a game. Of the 24 words, 16 are guaranteed to make one of your numbers each (a different number every time), and the other 8 are random, so some will fit and some won’t.
Your best score is saved for each combination of seconds per turn and language.

Pick Bingo in the game options for the pure bingo game. One word at a time is called to you and to 15 computer players, who each have their own card of 16 numbers. There are no multipliers and no limit on the number of words: they keep coming until somebody has crossed off all 16 numbers, and the first to do so wins.
Pick Tournament to play a series of bingo games for counters against the same 15 computer players. Choose how many counters everyone starts with (10, 20 or 40) and the number of rounds (4 to 8). Before every round each player chooses their own bet, from 2 to 8 counters; the computer players bet according to their personality (thoughtful players bet low, impulsive ones high).
Lingo is a workout for mental arithmetic and for estimating which numbers a word is likely to make. Bingo and Tournament modes add a little probability: how likely is it that the next word helps your card, and how much should you bet?
An explained playthrough of Lingo: crossing numbers off the card with the words.
Order of operations, word lists and alphabets are explained in the General guide.
A 4×4 card of numbers from 1 to 100. Each word can make some of them with + − × ÷. Tap the number the word makes before time runs out.