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1-120 bingo cards

A 1-120 bingo card is a 5x5 grid of 24 numbers around a free center, with B 1-24, I 25-48, N 49-72, G 73-96 and O 97-120. It follows the 120 chart used in grade 1. About 173 nonillion different cards exist; with 30 in play, the first line comes around call 31.

1-120 Bingo
BINGO
19
27
66
88
111
1
42
69
94
100
20
47
FREE
76
104
10
43
64
95
109
15
46
61
77
120
Card 1 of 30

5x5 cards with a free center, 24 numbers each. Caller sheet included.

Free: up to 30 different cards per set. Pro: up to 1,000.

Updated

How 1-120 cards are laid out

Columns have fixed ranges: B 1-24, I 25-48, N 49-72, G 73-96 and O 97-120. The middle column gets 4 numbers because the center is free; the others get 5. A card covers 20% of the values 1 to 120, so a given card is marked on only about one call in 5 and games run long.

In our 400 simulated games with 30 cards, the first straight line fell at call 31 and the first full card (blackout) at call 105, out of 120 possible calls from 1 to 120.

How to make 1-120 bingo cards by hand

  • Draw a 5x5 grid for each 1-120 card and write B, I, N, G, O above the columns, with FREE in the center square.
  • Fill each column from its own range: 5 from 1-24 under B, 5 from 25-48 under I, 4 from 49-72 under N, 5 from 73-96 under G and 5 from 97-120 under O, never repeating a number.
  • Each 1-120 card now holds 24 of the 120 values. Compare new cards with the ones you have made, since two identical cards would win together.
  • Write 1 to 120 on 120 slips (or print the caller sheet) and draw them one at a time, calling the column letter with each number.

How many different 1-120 cards exist

Different cards about 173 nonillion
Exact count 172,593,823,194,833,516,643,578,019,840,000
Scientific notation 1.73 × 10³²
How it is counted Each column is an ordered choice from its own range (5,100,480 for B, 5,100,480 for I, 255,024 for N, 5,100,480 for G, 5,100,480 for O); multiplying the columns gives the total.
Numbers per card 24 of 120

Exact chances: what is marked after 30, 60 and 90 calls

Chance that the numbers you need from 1 to 120 have all been called by each point, and the expected call at which the last of them comes up: k × (120 + 1) ÷ (k + 1).

GoalBy call 30By call 60By call 90Expected call
One number you need25%50%75%60.5
A given line (5 numbers)under 0.1%3%23%100.8
A line through the free center (4)0.3%6%31%96.8
Full card (24 numbers)under 0.1%under 0.1%under 0.1%116.2

How many calls until the first bingo

400 simulated games per row with cards from this page's generator; a card wins on any full row, column or diagonal. The range covers 8 games out of 10.

Cards in playMedian callsRange (10th-90th percentile)Share of the numbers called
1 card6742-8956%
10 cards4127-5334%
30 cards3120-4126%
100 cards2417-3220%

How many 1-120 cards per person

Start with one card per player; keen players can take two or three. In our runs a card on its own needed 67 calls for a line, while the first line among 10 cards came at call 41, among 30 at call 31 and among 100 at call 24.

So for 1-120 bingo, 10 players with 3 cards each, or 15 players with 2 each, should expect a winner around call 31 of 120; a class of 30 with one card each gives the same figure.

That spread (36 calls between one card and thirty) is large for a 120-number game, so giving keen players 2 or 3 cards each speeds things up noticeably without changing the chances for anyone holding the same number of cards.

What is in the 1-120 set

  • 60 even and 60 odd numbers between 1 and 120.
  • By length: 9 with one digit, 90 with two digits and 21 with three digits; mixing lengths is good place-value practice.
  • 30 prime numbers in the set: 2, 3, 5, 7, 11, 13 … 113.
  • Square numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100 (10 of 120).
  • Multiples of ten: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110 and 120, a quick landmark for players scanning their card.
  • Numbers with a repeated digit: 11, 22, 33, 44, 55, 66, 77, 88, 99 and 111 (10 of 120).

1-120 caller board

Every number that can be called, by column: 120 in all. Cross them off as you call so you can check a winning card in seconds.

B (1-24)I (25-48)N (49-72)G (73-96)O (97-120)
125497397
226507498
327517599
4285276100
5295377101
6305478102
7315579103
8325680104
9335781105
10345882106
11355983107
12366084108
13376185109
14386286110
15396387111
16406488112
17416589113
18426690114
19436791115
20446892116
21456993117
22467094118
23477195119
24487296120

How to play 1-120 bingo

  1. Make the cards

    Generate cards above (free up to 30 per set, all different) and print one per player; a single card already finds a line in about 67 calls.

  2. Prepare the calls

    Print the caller sheet: 1 to 120 (120 numbers) in a shuffled order, each with its column letter (B 1, O 120).

  3. Call and mark

    Read each number twice and cross it off the caller board. Expect the first line around call 31 with 30 cards.

  4. Check the winner

    Ask the winner to read back their line; every number must be on your board. A blackout needs all 24 numbers; with 30 cards that took 105 calls in our runs.

Frequently asked questions

What numbers go on a 1-120 bingo card?

5x5 cards with a free center, 24 numbers each. Columns have fixed ranges: B 1-24, I 25-48, N 49-72, G 73-96 and O 97-120. The middle column gets 4 numbers because the center is free; the others get 5.

How many different 1-120 bingo cards are there?

172,593,823,194,833,516,643,578,019,840,000 (about 173 nonillion). Each column is an ordered choice from its own range (5,100,480 for B, 5,100,480 for I, 255,024 for N, 5,100,480 for G, 5,100,480 for O); multiplying the columns gives the total.

How do you make 1-120 bingo cards?

The generator above is already set to 1 to 120 with a free center: choose how many cards you need and print or download them; every card in a set is different and the caller sheet lists every value from 1 to 120. To make them by hand, follow the 4 steps above.

How many cards should each person get?

One or two 1-120 cards. With 10 cards in play the first bingo comes around call 41, with 30 around call 31 and with 100 around call 24; more cards per player mainly makes the game shorter.

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