Grade 7

Directions: Using the digits 0 to 9, at most one time each, fill in the boxes to create an accurate number line. How many solutions can you find? Source: Adrianne Burns

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to fill in the circles of the triangle. The sum of the numbers on each side of the triangle is equal to the length of that side. Arrange the numbers so that the triangle is an equilateral triangle. Source: Erick Lee

Directions: Find three fractions whose product is -5/24. You may use fractions between -8/9 to 8/9 no more than one time each. Find at least 2 possible combinations. Source: Al Oz

Directions: Using the integers -4 to 4, at most one time each, create an inequality with solutions of x > 2/3. Source: Robert Kaplinsky

Directions: There are _____ red marbles and _____ blue marbles in Bag A. There are _____ red marbles and _____ green marbles in Bag B. Using the digits 1 to 9 at most one time each, fill in the boxes to make the probability of drawing a red marble from either bag the same. Extension: Change the problem such that …

Directions: Select three of the spinners from the image below (you may pick more than one of each) such that the total number of sectors in all three spinners totals 10. Select spinners so that the probability of all three spinners landing in the shaded sector is the smallest (or largest). Extension: How would the answer change if you could …

Directions: Using the digits 0 to 9, at most one time each, fill in the boxes so that the fraction equals the repeating decimal. Source: Daniel Luevanos

Directions: Using the integers -5 to 5, at most one time each, write an expression that will have the greatest (or least) absolute value. Source: Michael Wiernicki

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to find the largest (or smallest) possible values for the sum of x and y. Source: Erick Lee

Directions: Use the integers 1 through 10, at most one time each (7 and 9 can still be used)to complete the scenarios below: Source: Shaun Errichiello