## What is the answer to the locker problem?

The Solution As many of you found, the perfect square lockers (#s 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100) are the only lockers left open. Cool, huh? We hope you realized that lockers are only touched by students who are factors of that locker number, i.e. locker #5 is only touched by students 1 and 5.

**How many lockers will be open at the end?**

The principal only needs to close the lockers whose numbers are perfect squares. This means the solution is as easy as finding the square root of the highest possible perfect square within 1000. Therefore, 31 is the number of lockers the principal has to close. Shown below is the solution with ten lockers and students.

### What is the Locker game?

The purpose of this instructional task is for students to deepen their understanding of factors and multiples of whole numbers. This is a classic mathematical puzzle; often it is stated in terms of 100 lockers, so students have to make the connection to factors and multiples to solve it.

**Why should we have lockers?**

Lockers give students a place to store their belongings in between classes without the risk of them being tampered with or stolen. In class, bags are out in the open and are an easy target to drop things into, like a tracking device or an incriminating item that could get the innocent student into trouble.

#### Why are lockers good for students?

**Do middle schoolers have lockers?**

Middle Schools Have Lockers: Your tween probably didn’t have a locker in elementary school, but he will in middle school. Lockers are necessary as the children will most likely change classes throughout the day, and they need a central location to store their belongings and books.

## Are school lockers worth it?

Lockers could be good for students because they can keep their schoolwork safe and secure. “You don’t have to put as much stuff in your backpack, having a lot of stuff in your bag can give you a lot of back pain, that’s not nice, and you won’t forget your stuff,” says sophomore Madison Martel.

**Why students should have bigger lockers?**

In conclusion, we should get bigger lockers because we don’t have enough room to fit everything we need in it, and we may not find where our stuff is. Students need bigger lockers.

### Why did schools remove lockers?

Some schools view lockers as breeding grounds for prohibited objects and illegal substances. To combat this, they are removing them all together.

**How many lockers are there in a school?**

A school has exactly one thousand lockers, numbered from 1–1000, as well as one thousand students. Each year, the principal has closing ceremonies on the last day of school, during which she enlists the help of her students to close up the school’s lockers. She assigns each student a number, and asks him or her to help her one by one.

#### Which lockers are left open after the tenth student is finished?

And by the tenth student… The lockers left open after the tenth student is finished are lockers 1,4, and 9 — the only three perfect squares below 10. The solution might become more obvious if you look at a specific locker and add together the number of students who have opened it and the number of students who have closed it.

**How do you solve the problem of lockers with different numbers?**

One way to work the problem is to do this with more lockers and look for a pattern in the numbers of the lockers left open; a better way is to look for a REASON why there should be a pattern. What is it that makes one locker end up open and another end up closed?