Varsity Math, Week 134

Varsity Math 134

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Two puzzles with numbers are on the coach’s workout for today.

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Math

Maximization

Use the digits 1, 2, 3, and 4 once and only once to make a mathematical expression. You may use +, -, ×, ÷, exponents, decimal points, and parentheses. No roots, factorials, repeating decimals, or other mathematical functions are permitted.

What is the largest mathematical expression possible using these rules?

Multiplication Table

Each digit in the multiplication table below represents a digit other than itself.

Create a new table with correct digits.

Multiplication Table

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Solutions to week 133

In Maximizing Links, the maximum number of links is 9. For Seven Points, see the diagram below. All lengths shown are 1 foot.
Seven Points

Maximizing Links answer explained:
The maximum is 9 links as shown in the figure below.
Maximizing Links Solution

Recent Weeks

Week 133: Maximizing Links & Seven Points, solutions to Time of Day & The Missing Element

Week 132: Time of Day & The Missing Element, solutions to Knight Trap & My Number is 136

Week 131: Knight Trap & My Number is 136, solutions to The Size of Humanity & Fish Pond

Week 130: The Size of Humanity & Fish Pond, solutions to Circumnavigation & Typos

Week 129: Circumnavigation & Typos, solutions to Keeping Things Even & Roll Those Bones

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

Come back next week for answers and more puzzles.