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Cube numbers 1-10 bingo

Cube numbers 1-10 bingo uses 10 problems (x³ for every x from 1 to 10), whose 10 different answers fill 3x3 cards. The caller reads "5³", players mark 125. With 30 cards a line falls by call 3, so play for a full card (first one at call 9).

Cube Numbers 1-10 Bingo
1
8
64
125
1000
729
343
27
216
Card 1 of 30

The caller reads a problem; players mark its answer. 10 problems, 10 answers.

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

Updated

Cube numbers 1-10 at a glance

What is called 10 problems: x³ for every x from 1 to 10
What is on the cards 10 answers, from 1 to 1000
Recommended card 3x3: 9 answers per card
Different cards possible 3,628,800 (10 answers placed in 9 squares)
Typical level Grade 5-7
Problems per answer one each

Answer key: every cube numbers 1-10 problem by answer

10 calls, 10 squares. First marked = (10 + 1) ÷ (problems + 1), the average call at which the answer is reached in a shuffled game.

AnswerProblems the caller readsProblemsFirst marked (avg. call)
11³15.5
82³15.5
273³15.5
644³15.5
1255³15.5
2166³15.5
3437³15.5
5128³15.5
7299³15.5
100010³15.5

Self-check: cube numbers 1-10 answers

  • 1³ = 1 × 1 × 1 = 1
  • 2³ = 2 × 2 × 2 = 8
  • 3³ = 3 × 3 × 3 = 27
  • 4³ = 4 × 4 × 4 = 64
  • 5³ = 5 × 5 × 5 = 125
  • 6³ = 6 × 6 × 6 = 216
  • 7³ = 7 × 7 × 7 = 343
  • 8³ = 8 × 8 × 8 = 512
  • 9³ = 9 × 9 × 9 = 729
  • 10³ = 10 × 10 × 10 = 1000

Is cube numbers 1-10 bingo fair?

In cube numbers 1-10 bingo each of the 10 answers comes from exactly 1 problem, from "1³" (1) to "10³" (1000), so every square on the card has the same chance: an answer is first marked at call 5.5 of 10 on average, and after 3 calls each one has a 30% chance of being marked.

With 10 calls in cube numbers 1-10 bingo and 9 squares per card, every 3x3 card is full by call 10 at the latest, so the shuffle alone decides who shouts first.

How long a cube numbers 1-10 game lasts

300 simulated cube numbers 1-10 games (3x3, any line wins): 1 card needed 5 calls (median), 10 cards 3, 30 cards 3, with 8 in 10 games between call 3 and 4.

A class of 30 playing cube numbers 1-10 bingo uses 30% of the 10 calls per game, so one caller sheet covers about 3 games; 3x3 cards from 10 answers overlap so much that lines fall almost at once, so play for a full card (all 9 squares) instead, which took a median of 9 calls with 30 cards.

How to play cube numbers 1-10 bingo in class

  1. Draw the squares

    Sketch a square with side 5 on grid paper: the answer, 125, is what you count. The cards hold 10 answers from 1 to 1000.

  2. Hand out the cards

    Print 3x3 cube numbers 1-10 cards: 9 of the 10 answers (1 to 1000) each, 90% coverage.

  3. Read the problem, not the answer

    Call "3³", pause, then the next. 10 calls, one per answer, so no square has a head start.

  4. Check every bingo

    Read back the called problems; the winner names each answer (5³ → 125). 30 cards: first bingo near call 3.

Example calls from this set

Four problems drawn from the cube numbers 1-10 caller sheet and the square each one marks.

  • The caller reads 10³

    Mark 1000 (the only problem with this answer)

  • The caller reads 6³

    Mark 216 (the only problem with this answer)

  • The caller reads 5³

    Mark 125 (the only problem with this answer)

  • The caller reads 3³

    Mark 27 (the only problem with this answer)

Frequently asked questions

How many problems are in cube numbers 1-10 bingo?

10 problems (x³ for every x from 1 to 10), with 10 different answers. The caller sheet lists all 10; the cards show only the answers.

What size card works best for cube numbers 1-10?

3x3. A card needs 9 different answers and the cube numbers 1-10 set has 10 (1 to 1000), so a 3x3 card is the largest that fits. That still allows 3,628,800 different cards.

Does any answer come up more often than others?

No. Each of the 10 answers is reached by exactly 1 problem of the 10 (1³ gives 1, 10³ gives 1000), so every square has the same chance and is first marked around call 5.5 on average.

How many calls until someone wins?

In 300 simulated cube numbers 1-10 games with 30 3x3 cards, the first line was completed after a median of 3 calls; with 10 cards after 3 calls.

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