High School: Functions

Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create three quadratic equations: one with two imaginary solutions, one with one real solution, and one with two real (rational or irrational) solutions. Source: Ryan D. Fox

Directions: Using the digits 0 to 9, at most two times each, place a digit in each box to make the equations true. Source: Owen Kaplinsky

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create a sine function with the given period in degrees. Source: Kate Nerdypoo

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create a cosine function with the given period in degrees. Source: Kate Nerdypoo

Directions: Using the digits 0 to 9, at most one time, place a digit in each box to create sine and cosine functions with the given periods in degrees. Source: Kate Nerdypoo

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the statements true. Source: Dana Harrington

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the equation true. Source: Dana Harrington

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create three different linear equations whose y-intercepts have integer values. Source: Michelle Kovesi and Harold Jacobs

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create a problem that has the smallest possible positive answer. Source: Noel Chang

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the statement true. Source: Cassie Winchell