Cornelius got a flat tire on a miserable, rainy day. As he was changing it on the side of the road, he placed the four lug nuts in the overturned hub cap. As our dear friend was moving back to put on the spare, he accidentally bumped the hub cap. He watched helplessly as all four lug nuts rolled into a deep sewer and were whisked away. Then our friend had a brilliant solution and within minutes was driving safely away.

What was his solution?

Complete the three missing words in the sentence, with the first two words combining to form the third word.

For example:

The prime minister ____ the meeting, even though the ____ was technically the ____ official.
The three missing words would be RAN, KING, and RANKING.

Now solve this one:

When she broke her ____ showing off at the ____ of the ski run, Arya became a ____ among her friends.

500 people attended a high school basketball game and raised $500 for the school.

The prices were as follows:
Mothers $3.00
Fathers: $2.00
Children $0.48

More mothers than fathers turned up. How many children were there?

Here is the Roman numeral for nine: IX

By adding only one line or symbol, how can you turn it into six?

My letters become three faces,
One has gone to far away places,
Another sets a standard high,
The third can never be a guy.

What are the three words?