1. What is the value of c in this number square pattern.



2. Acme Widget Company only sells their widgets in packages of 6, 9, and 20. What is the largest number of widgets that it is not possible to order from Acme Widget Company?

3. One of the 4 students took the donuts from the teachers’ lounge. If only one of their statements is true, who took the donuts?

Andy said, “Doug did it.”
Doug said, “Tom did it.”
Gary said, “I didn’t do it.”
Tom said, “Doug lied when he said I did it.”

4. How many black squares are in the 20th design?



5. Pascal’s triangle begins What is the ratio of the sum of the numbers in the 9th row of Pascal’s triangle to the sum of the numbers in the tenth row?




6. How many seconds does it take a 99 miles per hour fast ball to reach home plate if the distance from the pitcher to home plate is 60 feet 6 inches?

7. How many rectangles are there in this figure if all the angles are right angles?



8. What is the sum of the next 3 numbers in this sequence?

1, 2, 3, 6, 11, 20, 37, ___, ___, ___

9. A square is divided into eights as shown and half of it is shaded by coloring in half of the small triangles. How many different ways are there to do this that are not flips (reflections) or turns (rotations) of each other? One example of shading is given.



10. , and a, b, c, and d are distinct positive integers. What is
?