Math Olympiad for 3rd Grade – 6

Is the following a square number? $$1!+2!+3!+4!+5!+6!+7!$$
There are $100$ cups labeled from $1, 2, 3, … 100$. You distribute $1$ candy in the first cup, $2$ candies in the second cup, and $3$ candies in the third cup, and so on. The cup labeled with number __________ holds the $2020^{th}$ candy distributed.
There are $10000$ small boxes drawn on a piece of paper as the following and each box is filled in a number as the following. The sum of all $10000$ numbers is __________. $$\begin{array}{|r|r|r|r|r|r|r|r|r|r|c|r|} \hline 1&2&3&4&5&6&7&8&9&10&……&100\\ \hline 2&3&4&5&6&7&8&9&10&11&……&101\\ \hline 3&4&5&6&7&8&9&10&11&12&……&102\\ \hline 4&5&6&7&8&9&10&11&12&13&……&103\\ \hline …&…&&&&&&&&&……&…\\ \hline …&…&&&&&&&&&……&…\\ \hline 99&100&101&102&103&104&105&106&107&108&……&198\\ \hline 100&101&102&103&104&105&106&107&108&109&……&199\\ \hline \end{array} $$
12 students in Mrs. King’s class took a math exam and their scores are: $86, 82, 71, 88, 90, 78, 83, 81, 85, 76, 87, 77$. The average of their scores is __________.
A group of students voted to select $5$ students to form a committee. The top $5$ students received a total of $168$ votes. Among them, Amy received $2$ more votes than Bob, $5$ more votes than Charlie, $10$ more votes than Danny and $15$ more votes than Emily. The number of votes received by Amy is __________.