## ________________

The coach provides puzzles involving digits as today’s fare.

## ________________

### Piece of Pi

The coach notes that somewhere in the digits of pi, the entirety of any text is encoded if the following scheme is used: space = 00, A = 01, a = 02, B = 03, b = 04 and so on. If we assume random digits in the expansion of pi, it will contain the expression “National Museum of Mathematics” in consecutive order if enough digits are examined.

*About how many digits of pi will have to be examined to get a 50% probability of encountering a string of 60 consecutive decimal digits that encodes the museum’s name according to the coach’s scheme?*

### Making 17 and 27

Produce math expressions in which you may use only +, -, ×, ÷, exponents, decimal points, and parentheses.

*(a) Make 17 using 1, 4, and 5 one time each.*

(b) Make 27 using 1, 5, and 9 one time each.

Spread the word: | Tweet |

## Solutions to week 124

The figures below show the three solutions to Cutting the Triangle, and the solution to Square Repair. Note that Puzzle (a) of Cutting the Triangle has an infinite number of additional solutions.

**Cutting the Triangle**

**Square Repair**

## Recent Weeks

**Week 124**: Cutting the Triangle & Square Repair, solutions to Mining Mishap & Pulley Puzzle

**Week 123**: Mining Mishap & Pulley Puzzle, solutions to Minimum Racket Wear & Rolling Circles

**Week 122**: Minimum Racket Wear & Rolling Circles, solutions to Tennis Exhibition & Losing Streak

**Week 121**: Tennis Exhibition & Losing Streak, solutions to Breakfast, Lunch, or Dinner? & The 2018 Puzzle

Links to all of the puzzles and solutions are on the Complete Varsity Math page.

**Come back next week** for answers and more puzzles.