Understanding the 21 Card Trick

Understanding the 21 Card Trick

Assessment

Interactive Video

Mathematics, Fun

5th - 8th Grade

Hard

Created by

Aiden Montgomery

FREE Resource

The video demonstrates the 21 card trick, a classic magic trick that uses modular arithmetic to determine a chosen card's position. The trick involves dividing 21 cards into three piles and using mathematical reasoning to locate the card. The presenter explains the trick's mathematical basis, emphasizing modular arithmetic and card positioning. The video also discusses the performer's personal experiences and the excitement of performing the trick. Finally, it concludes with a promotion for Numberphile playing cards.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in performing the card trick?

Revealing the card

Selecting a card

Dealing the cards into piles

Shuffling the cards

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many piles are the cards dealt into after shuffling?

Five piles

Four piles

Three piles

Two piles

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical concept is used to explain the 21 card trick?

Algebra

Probability

Modular arithmetic

Geometry

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which positions does the card lie after the first arrangement?

8 to 14

1 to 7

15 to 21

22 to 28

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final position of the card after the trick is completed?

Position 7

Position 9

Position 11

Position 13

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main purpose of dividing the cards into columns?

To ensure the card is at the bottom

To confuse the audience

To make the trick look more complex

To locate the card using modular arithmetic

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the performer ensure the card is not removed during the final selection?

By using a duplicate card

By secretly marking the card

By controlling the audience's choices

By using a mathematical strategy

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