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1-20 bingo cards

A 1-20 bingo card is a 4x4 grid of 16 numbers taken from the 20 values 1 to 20 and placed in any square. It is a kindergarten and grade 1 number-recognition game. About 101 quadrillion different cards exist; with 30 in play, the first line comes around call 6.

1-20 Bingo
6
16
8
19
4
10
12
3
15
20
14
9
13
1
2
11
Card 1 of 30

4x4 cards, 16 numbers each. Caller sheet included.

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

Updated

How 1-20 cards are laid out

Numbers are not tied to columns: each card takes 16 of the 20 numbers at random and places them anywhere. A card covers 80% of the values 1 to 20, so most calls mark something on most cards and games are short.

In our 400 simulated games with 30 cards, the first straight line fell at call 6 and the first full card (blackout) at call 18, out of 20 possible calls from 1 to 20.

How to make 1-20 bingo cards by hand

  • Draw a 4x4 grid for each 1-20 card.
  • Write 16 different values from 1 to 20 in any order. Each card leaves out 4 of the 20, which is what makes cards differ.
  • Each 1-20 card now holds 16 of the 20 values. Compare new cards with the ones you have made, since two identical cards would win together.
  • Write 1 to 20 on 20 slips (or print the caller sheet) and draw them one at a time.

How many different 1-20 cards exist

Different cards about 101 quadrillion
Exact count 101,370,917,007,360,000
Scientific notation 1.01 × 10¹⁷
How it is counted An ordered choice of 16 numbers from 20: 20 × 19 × … × 5.
Numbers per card 16 of 20

Exact chances: what is marked after 5, 10 and 15 calls

Chance that the numbers you need from 1 to 20 have all been called by each point, and the expected call at which the last of them comes up: k × (20 + 1) ÷ (k + 1).

GoalBy call 5By call 10By call 15Expected call
One number you need25%50%75%10.5
A given line (4 numbers)0.1%4%28%16.8
Full card (16 numbers)0%0%0%19.8

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 card118-1455%
10 cards86-940%
30 cards65-830%
100 cards54-625%

How many 1-20 cards per person

One card per player is enough for 1-20 games, because each card already holds 80% of the values. In our runs a card on its own needed 11 calls for a line, while the first line among 10 cards came at call 8, among 30 at call 6 and among 100 at call 5.

So for 1-20 bingo, 10 players with 3 cards each, or 15 players with 2 each, should expect a winner around call 6 of 20; a class of 30 with one card each gives the same figure.

The spread between one card and thirty is only 5 calls when the caller draws from 1 to 20, so extra cards per player add little speed.

What is in the 1-20 set

  • 10 even and 10 odd numbers between 1 and 20.
  • By length: 9 with one digit and 11 with two digits; mixing lengths is good place-value practice.
  • 8 prime numbers in the set: 2, 3, 5, 7, 11, 13, 17 and 19.
  • Square numbers: 1, 4, 9 and 16 (4 of 20).
  • Multiples of ten: 10 and 20, a quick landmark for players scanning their card.
  • Numbers with a repeated digit: 11 (1 of 20).
  • Spoken: one, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, nineteen, twenty.

1-20 caller board

All 20 numbers in order, 10 per row. Cross each one off as you call it.

#1#2#3#4#5#6#7#8#9#10
12345678910
11121314151617181920

How to play 1-20 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 11 calls.

  2. Prepare the calls

    Print the caller sheet: 1 to 20 (20 numbers) in a shuffled order.

  3. Call and mark

    Read each number twice and cross it off the caller board. Expect the first line around call 6 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 16 numbers; with 30 cards that took 18 calls in our runs.

Frequently asked questions

What numbers go on a 1-20 bingo card?

4x4 cards, 16 numbers each. Numbers are not tied to columns: each card takes 16 of the 20 numbers at random and places them anywhere.

How many different 1-20 bingo cards are there?

101,370,917,007,360,000 (about 101 quadrillion). An ordered choice of 16 numbers from 20: 20 × 19 × … × 5.

How do you make 1-20 bingo cards?

The generator above is already set to 1 to 20: 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 20. To make them by hand, follow the 4 steps above.

How many cards should each person get?

One: each 1-20 card already holds 16 of the 20 values. With 10 cards in play the first bingo comes around call 8, with 30 around call 6 and with 100 around call 5; more cards per player mainly makes the game shorter.

Founder price

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