UND MATHEMATICS TRACK MEET Team Test 2

University of North Dakota Grades 11/12
January 12, 2026
School Team Name
Calculators are NOT allowed. Key

• 1.

  Simplify ${\log }_{10}6250+{\log }_{10}16$.

    (20 pts) 1. 5

• 2.

  How many numbers from 1 to 120 (including 1 and 120) are divisible by 4 or 5?

    (20 pts) 2. 48

• 3.

  Find all positive values for a diameter of a circle for which the area of the circle is equal numerically to half of its circumference.

    (20 pts) 3. 2

• 4.

  Simplify

  $$\frac{1}{\frac{1}{5}-0.\overline{18}}$$

    (20 pts) 4. 55

• 5.

  Solve $2\sqrt{x}=\sqrt{9+\sqrt{72}}+\sqrt{9-\sqrt{72}}$.

    (20 pts) 5. 6

• 6.

  How many sides does a dodecagon have?

    (20 pts) 6. $12$

• 7.

  Find the area of a square with perimeter 56.

    (20 pts) 7. $196$

• 8.

  In degrees, what acute angle does the hour and minute hands make at 3:30?

    (20 pts) 8. ${75}^{\circ }$

• 9.

  A set of 5 positive integers has a median of 17 and mean of 13. What is the largest possible value in the set?

    (20 pts) 9. $29$

• 10.

  Find the number of ways that a red and a blue die can be rolled so that their product is a multiple of 6. Assume each die is standard with 6-sides.

    (20 pts) 10. $15$