Tag Archives: Nanette Johnson

Minimize Slope

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

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Sum of Fractions Closest to 10

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the equation as close to 9.8 as possible. Source: Nanette Johnson, based on Giselle Garcia’s problem

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Biggest Product 3

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to and make the greatest/least product. Source: Nanette Johnson

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Biggest Product 2

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the biggest/smallest product. Source: Nanette Johnson

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Biggest Product

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the biggest/smallest product. Source: Nanette Johnson

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Line of Reflections on Isosceles Triangles

Directions: How many ways can you determine the location of the line of reflection for isosceles triangle XYZ that maps Point X to Point Z? Source: Irvine Math Project, Nanette Johnson, and Robert Kaplinsky.

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Biggest Rectangle

Directions: Using the digits 1 to 9, at most one time each, find the largest possible area for the rectangle. Source: Nanette Johnson, Inspired by Mike Chamberlain’s Problem

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Perpendicular Lines and Slope

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box so that the lines through each pair of points are perpendicular. Source: Nanette Johnson

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Parallel Lines and Slope

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box so that the lines through each pair of points are parallel. Source: Nanette Johnson

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