I need a multiplayer math game to be written using nodejs+socket.io+mongodb to run with websockets

Project Description
I wish to
,To host in vps hosting, Create a multiplayer math game just like world maths day games with frontend like these : https://www.youtube.com/watch?v=l8ZUEoLeiIM
https://www.youtube.com/watch?v=sVJfvoyCfP0
The following software and protocol be used in creating the game app : node.js +socket.io + mongoDB by websockets
you will create REGISTER including profile pic & also, country & you will create LOGIN that will take. As you press LEVEL button, you will see others join if they are online. There should be a waiting time at the end of which game starts as a single player game. If a player makes 3 errors, he will be out of that game. At end of 50 games, certificate link will appear.
1.REGISTRATION:
Full Name:
School:
Age:
Email:
Country: (drop down to choose)
Class (drop down 1-12)
Username
Pw
2. LOGIN:
Username
Pw
Upon LOGIN page should be like in the video with a table showing stats and levels buttons: It has a table showing different levels in columns. After you finish playing 10 games in each level, the link becomes inactive
3.GAME
LEVEL BUTTON takes the player directly to game console (as per youtube video) where others (maximum 5 players) join instantly with country flag; Once you click LEVEL BUTTON (1,2,3,4,OR 5) a new animation should appear like 00:20- 00:33, receiving at most 4 players on availability, so a maximum of 4 players can participate in a game.
Each level has 10 games. Each game is 1 minute where infinte random number operations can potentially be displayed for the player to key in the answer in the span of one minute.
After each game, all operations that took place and the answer input for that particular question will be displayed. If incase answer input was incorrect, it shows the correct answer as well along with ‘X’ .
Based on number of correct answer/number of questions , percentage accuracy is determined and showed in the page after each game.
Every player has a tracker for high scores in each level that shows the highest obtained points in that level, this points should be shown after every game along with the percentage accuracy.

4.HALL OF FAME
Each class will have hall of fame with a button press
5.CERTIFICATE LINK AFTER 50 GAMES

6. Points System
Every correct answer in each game gives a point to the player. Based on this, Hall of fame will show live scores.
7. Admin:
I will be the administrator to be able to purge games, reset and so on

N.B: please show your samples. I will award you immediately if found promising. Do not ask for codes. Please feel to ask questions. Please be informed that I am a teacher with passion to help kids. This is purely educational , so give good budget. You may give a suggestion to reduce the cost.