UND MATHEMATICS TRACK MEET Individual Test 4

University of North Dakota Grades 7/8
January 12, 2026
School Team Name
Calculators are NOT allowed. Key Student Name

• 1.

  Evaluate ${\left(-100\right)}^0+3\mid -4^2-(-8)\mid +2\mid \sqrt{16}+{(-6)}^2\mid$

    (2 pts) 1. $105$

• 2.

  A chess club has only ninth-grade and tenth-grade students. If ${\displaystyle \frac{3}{7}}$ of the students are in ninth grade and there are 18 more tenth-grade students than ninth-grade students, how many tenth-grade students are in the club?

    (3 pts) 2. $72$ students

• 3.

  Two fair six-sided dice are rolled. What is the probability that the sum of the two numbers is at most 5?

    (3 pts) 3. ${\displaystyle \frac{10}{36}}={\displaystyle \frac{5}{18}}$

• 4.

  A rectangular storage container is 30 feet long, 15 feet wide, and 10 feet deep. How many gallons of paint are needed to paint the outside of the four walls and the bottom if one gallon covers 150 square feet?

    (3 pts) 4. $9$ gallons

• 5.

  A bakery uses 4 mixing machines. Each machine mixes 18 batches of dough all together every $\frac{3}{4}$ minute. How many batches can all 4 machines mix in 2 minutes?

    (3 pts) 5. $192$ batches

• 6.

  Find the $x$-intercept that is less than 0, if any, for

  $$f\left(x\right)={\left(x-3\right)}^2-9$$

    (3 pts) 6. None

• 7.

  Simplify the expression. Write your answer as a fraction in simplified form.

  $$\frac{5^3\cdot {25}^2}{{125}^3}\times {\left(\frac{4^2\cdot 64}{8^4}\right)}^{\frac{1}{2}}$$

    (3 pts) 7. ${\displaystyle \frac{1}{50}}$