The solutions to these puzzles can be found at the bottom of the page. Try to resist peeking until you have given yourself time to try to solve the puzzles.

Road Trip Math Puzzle

Samuel Loyd created a puzzle called "Bicycle Tour". In this puzzle, a bicyclist would start in Philadelphia and work their way to Erie Pennsylvania, passing through every town on the map once and only once without retracing their route. You can try this puzzle below by starting with town number one in the top left and work your way down the town number 23 in the bottom right. You must visit every town once and only once. You can only go from town to town that is connected by a road. If you get stuck, you can click on the last town visited again to retrace your steps. You can do this as often as you want. You can also start over by pressing the 'start over' button at the bottom. Good luck.

Bicycle Mishap Math Puzzle

This interesting math puzzle follows the bicycle tour puzzle by Sam Loyd. In his book it is actually a continuation of the same story where two bicyclists are riding along and one of their bicycles break down.
A couple were riding their bicycles from home when the gentleman rider's sprocket broke. The gentleman had no choice but to head back home, get a new sprocket, then head back and put the new sprocket on. They both then headed back home.

Here are some statistics regarding their riding and walking speeds.

The lady rides her own bicycle at 12 miles per hour or five minutes per mile.

The gentleman rides his own bicycle at 20 miles per hour or three minutes per mile.

The gentlemen rides the ladies smaller bicycle at 17 1/7 miles per hour or 3 1/2 per minutes per mile.

The lady walks a bicycle at three miles per hour or 20 minutes per mile.

The gentleman walks a bicycle at four miles per hour or 15 minutes per mile.

It took him 10 minutes to replace the sprocket. The entire process took eight hours. How far had each of their bicycles traveled during the entire ordeal?

Hardware Rebus Puzzle

Sam Loyd contributed hundreds of sketches with his puzzles. Occasionally we had to include them to make his puzzles solvable on the web. This puzzle is no exception. Below you will see ten sketches by Sam Loyd. They are rebuses indicating items that one can find in a hardware store. These rebuses are over 100 years old, however, nearly all the items are still common in hardware stores today. Enjoy.

Money Math Puzzle

Here is a nifty cash math puzzle. A worker cashed his $200 paycheck and asked the bank teller for an undisclosed amount of one dollar bills, with ten times as many two dollar bills and the rest in five dollar bills.
What exact bills did the bank teller end up giving him?

Road Trip Math Puzzle

We found that zigzagging across the map worked the best for us. We had to be careful not to strand any towns and not to strand ourselves as well. After several tries we managed to work our way to the final town. The backtrack feature was very helpful in solving the puzzle. The correct sequence of towns follows.

1, 12, 6, 20, 21, 17, 16, 7, 2, 9, 5, 11, 13, 19, 10, 4, 8, 3, 14, 18, 22, 15 and finally to 23.

Bicycle Mishap Math Puzzle

They had gone 33 3/17 miles.

Here is what the gentleman did on the trip
The gentleman could only ride as fast as she could go, so he rode the 33 3/17 miles at 12 miles per hour. This part of the trip took 2 hours, 45 minutes and 53 seconds.
After the sprocket broke, the gentleman used the ladies bicycle to head back home, so he rode the 33 3/17 miles at 17 1/7 miles per hour. This part of the trip took 1 hour, 56 minutes and 7 seconds.
During this time the lady was walking his broken bicycle back, so the gentleman only had to ride 23 5/17 miles at 17 1/7 miles per hour to meet up with her. This part of the trip took 1 hour 21 minutes and 32 seconds.
He took ten minutes to replace the sprocket as the lady started back on her own bicycle at 12 miles per hour covering two miles.
He rode five miles on his own bicycle at 20 miles per hour to catch up to the lady who was riding back and covering five miles in the 25 minutes it took to him to make the repairs and catch up. This part of the trip took 15 minutes.
He rode the final 18 5/17 miles home at 12 miles per hour to keep pace with her. This part of the trip took 1 hour, 31 minutes and 28 seconds.
Total time is eight hours.

Here is what the lady did on the trip.
The lady rode 33 3/17 miles at 12 miles per hour. This part of the trip took 2 hours, 45 minutes and 53 seconds.
While the gentleman rode her bicycle back home, retrieved the new sprocket and then rode her bicycle back, she walked his bicycle 9 15/17 miles at 3 miles per hour. This part of the trip took 3 hours, 17 minutes and 39 seconds.
She rode the 23 5/17 miles home at 12 miles per hour. This part of the trip took 1 hour, 56 minutes and 28 seconds.
Total time is eight hours.

His bicycle traveled 66 6/17 miles or double the length of the trip. Her bicycle traveled 112 16/17 miles. The original trip plus the 23 5/17 miles each way for the repair trip.

Hardware Rebus Puzzle

The ten hardware items are as follows.

1. Stove-lifters

2. Hammers

3. Nails

4. Bolts

5. Spades

6. Castors

7. Locks

8 Pails

9. Glass

10. Hose.

Money Math Puzzle

This one didn't take too long to solve by our editorial team. Since the banker was asked to give the worker ten times as many two dollar bills as one dollar bills, the total dollar amount in two dollar bills had to be 20 times as much as the amount in one dollar bills. Another important point is the fact that the amount in one dollar bills had to be an even multiple of five so that the total could come to an even $200, which is also a multiple of five. Our first multiple of five is five dollars in one dollar bills, which will mean $100 in two dollar bills. This leaves $95 left over which can be paid in 19 five dollar bills. We wondered if there was another combination that would work. However, if we tried $10 that would require $200 in two dollar bills. That would equal $210 which is over the amount of the check. So the final answer is 5 one dollar bills, 50 two dollar bills and 19 five dollar bills.