University of North Dakota Grades 7/8
January 12, 2026
School Team Name
Calculators are allowed. Key Student Name
Simplify . Your answer should be an integer or a fraction where the numerator and denominator have no common factors.
(2 pts) 1.
Each student in a class has a dog, a cat, or both a dog and a cat. Sixteen students have a dog (with or without a cat), and 10 have a cat (with or without a dog). If there are 21 students in all, how many have both a dog and a cat?
(3 pts) 2.
The 21 students in a morning math class have an average score of 86 on a test. The 18 students in the afternoon class have an average score of 73. What is the average score of all 39 students together?
(3 pts) 3.
A rectangular prism is 8 cm long, 5 cm wide, and 4 cm high. What is the total surface area of all faces of the prism?
(3 pts) 4. cm2
A line passes through three points (1, 2), (7, 4), and (16, ). What is the value of ?
(3 pts) 5.
A box contains 3 red balls and 3 blue balls. Alice randomly draws and keeps one of the balls from the box, and then Bill randomly draws a different ball from those left in the box. What is the probability that Alice and Bill both draw red balls? Express your answer as a fraction where the numerator and denominator have no common factors.
(3 pts) 6.
A square has sides of length 5 inches. A circle has a diameter of 6 inches. How much longer (in inches) is the perimeter of the square than the circumference of the circle? Use 3.14 for pi, and write your answer to the hundredth place.
(3 pts) 7. in