Varsity Math 140


The coach decides it’s time for the team to get some more numerical exercise.


Sudoku Variant

Place numbers in the grid so that each row and each column contain the numbers 1 through 5 and the sums of numbers in the outlined regions are all different.

Sudoku Variant

Making 8 and 16

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

a. Make 8 using 4, 7, and 8 (each number only once).
b. Make 16 using 2, 4, and 7 (each number only once).


Solutions to week 140

In Nick’s Birthday, Nick is born on January 2 and made the statement on December 31. For Burning Ropes, simultaneously light the first rope from one end and the second rope from both ends. When the second rope is consumed, the first will have e – √2/2 hours to go. Light the other end of the first rope at this instant to produce a time of e/2 – √2/4 = 1.0055875… hours when the first rope is consumed.

Recent Weeks

Week 140: Nick’s Birthday & Burning Ropes, solutions to Pondering Productivity & Cornfield Planning

Week 139: Pondering Productivity & Cornfield Planning, solutions to Close to a Quart & Math Party

Week 138: Close to a Quart & Math Party, solutions to Room for One More & End Points

Week 137: Room for One More & End Points, solutions to Sevens and Elevens & Three-Digit Squares

Week 136: Sevens and Elevens & Three-Digit Squares, solutions to Swimming Workout & Batting Order

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

Come back next week for answers and more puzzles.