UND MATHEMATICS TRACK MEET Team Test 2

University of North Dakota Grades 9/10
January 12, 2026
School Team Name
Calculators are NOT allowed. Key

• 1.

  A sequence is defined by $a_1=4$ and $a_{n+1}=a_n+3$. What is $a_{20}$?

    (20 pts) 1. $61$

• 2.

  What is the remainder when $7^{2025}$ is divided by $6$?

    (20 pts) 2. $1$

• 3.

  The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many more children than adults attended?

    (20 pts) 3. $800$

• 4.

  A right triangle has legs $6$ and $8$. A square is drawn with the hypotenuse of the right triangle as a side. What is the area of the square?

    (20 pts) 4. $100$

• 5.

  A rectangle’s diagonal is $25$ and one side is $7$. What is the perimeter of the rectangle?

    (20 pts) 5. $62$

• 6.

  How many distinct ways can the letters in the word “LEVEL” be arranged?

    (20 pts) 6. $30$

• 7.

  A school has $5$ math teams and each team has $4$ students. How many students must you choose to guarantee that at least two are from the same team?

    (20 pts) 7. $6$

• 8.

  If the cost of a bat and a baseball combined is $1.10 and the ball costs $1.00 less than the bat, how much is the ball?

    (20 pts) 8. $\mathrm{\$}0.05$

• 9.

  Solve for $x$: $\sqrt{x+9}-\sqrt{x-7}=2$.

    (20 pts) 9. $x=16$

• 10.

  In how many ways can $6$ students sit in a row if two particular students insist on sitting next to each other?

    (20 pts) 10. $240$