Tag Archives: DOK 3: Strategic Thinking

Directions: Using the digits 0-9 at most once, fill in the boxes to make the smallest possible least common multiple. Source: Howie Hua

Directions: Using the digits 0-9 at most once, fill in the boxes to make the largest possible greatest common factor. Source: Howie Hua

Directions: Given the point (3,5), use digits 1-9, at most one time, to find a point (__, __) that minimizes the slope of the line that passes through the two points. The slope cannot be undefined. Source: Nanette Johnson (Problem Based on Andrew Constantinescu’s Problem) and Andrew Constantinescu

Directions: Given the point (3,5), use digits 1-9, at most one time, to find a point (__, __) that maximizes the slope of the line that passes through the two points. The slope cannot be undefined. Source: Andrew Constantinescu

Directions: Using the digits 0 through 9, without repeating any digits, find the quotient closest to 1. Source: Michael Dennis

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to make a product that’s as close to 50 as possible. Source: Owen Kaplinsky

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make a whole number product. Source: Owen Kaplinsky

Directions: Use the digits 1 to 9, at most one time each, to make a difference with the least possible value. Source: Owen Kaplinsky and Robert Kaplinsky

Directions: Use the digits 1 to 9, at most one time each, to make a sum with the greatest possible value. Source: Owen Kaplinsky and Robert Kaplinsky

Directions: Fill in the boxes below using the digits 1 to 6, at most one time each, to make the largest value for D (the derivative). Source: Chris Luzniak