Understanding the Locker Puzzle Concepts

Understanding the Locker Puzzle Concepts

Assessment

Interactive Video

Created by

Olivia Brooks

Mathematics, Fun

5th - 8th Grade

Hard

A rich uncle leaves a puzzle in his will for his relatives. The puzzle involves 100 lockers, each relative toggling lockers based on their number. The key to solving it is understanding that lockers with an odd number of factors remain open, which are perfect squares. The solution involves identifying prime numbers to unlock the code and claim the inheritance.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the main reason the uncle left a puzzle in his will?

To ensure the money was shared equally among all relatives

To prevent his relatives from pestering the main heir

To test the riddle-solving skills of his favorite heir

To entertain his relatives during the will reading

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial action taken by Heir 1 in the locker puzzle?

Close every locker

Open every second locker

Open every locker

Close every third locker

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of the lawyer in the puzzle?

To solve the puzzle for the heirs

To explain the rules of the puzzle

To distribute the inheritance equally

To hide the words in the lockers

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the number of factors of a locker number affect its final state?

Lockers with an even number of factors remain open

Lockers with an odd number of factors remain open

Lockers with more than three factors remain open

Lockers with prime numbers remain open

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which locker number is used as an example to explain the factor concept?

Locker #6

Locker #12

Locker #4

Locker #9

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main challenge in solving the uncle's puzzle?

Competing with relatives to open lockers

Finding the correct locker keys

Identifying the pattern of locker openings

Deciphering the words inside the lockers

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do perfect square lockers remain open at the end of the puzzle?

They have an odd number of factors

They are opened by the last heir

They are never touched by any heir

They have an even number of factors

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the lockers touched only twice?

They are the first five lockers

They are all perfect squares

They contain the final code

They are prime numbers

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the code derived from the lockers touched only twice?

1-2-3-4-5

2-3-5-7-11

3-5-7-11-13

5-7-11-13-17

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What lesson can be learned from the uncle's puzzle?

The benefit of sharing wealth

The importance of teamwork

The value of paying attention to details

The need for speed in solving puzzles

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