Grade 6

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make three decimals whose sum is as close to 1 as possible. Source: Robert Kaplinsky

Directions: Using the digits 1 through 9 at most one time each, fill in the boxes to list the dimensions of a rectangular prism with the greatest possible surface area. Source: Robert Kaplinsky

Directions: Make four points using the integers -4 to 4 at most one time each so that each point is in a different quadrant. Source: Robert Kaplinsky

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create at least two different examples where the quotient is undefined. Source: Daniel Luevanos

Directions: Decide if 30x – 12 could be a result of using the distributive property. If it is, find the possible combinations of factors whose product would be 30x – 12 (using integer coefficients and constants). Source: adapted from Nathan Charlton

Directions: Create an inequality that has no solution. Source: Kara Colley

Directions: Create a set of five positive integers from 1 to 20 that have the same mean, median, and range. Source: Eric Berchtold and Melissa Minnix

Directions: Give an example of two sets of numbers that form identical box plots (also called box-and-whisker plots) but have different mean absolute deviation values. Source: Robert Kaplinsky with help from Pamela Franklin

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the smallest (or largest) sum. Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the smallest (or largest) difference. Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky