Junior Math Part 2

1. For Triangle JLM: WZ, WK, and ZK, are the midsegments. If JL = 26 and WZ = 5x + 3, what is X?

• 25

• 13

• 3.2

• 2

2. Still using Triangle JLM: where WZ, WK, and ZK, are the midsegments, what is true about the area

of triangle WZK?

• Area ΔWKZ =

  1/8 Area ΔJLM

• Area ΔWKZ=

  1/4 Area ΔJLM

• Area ΔWKZ =

  1/3 Area ΔJLM

• Area ΔWKZ =

  1/2 Area ΔJLM

3. Using triangle JLM: where WZ, WK, and ZK

are the midsegments, which statement is false?

• ΔWKZ is similar to ΔJLM

• ΔWKZ is congruent to ΔJKW

• The perimeter of ΔWKZ is 1⁄2 the perimeter of ΔJLM

• .

  𝑚∠JWK = 𝑚∠ZKL

4. Which of the following is true about the relationship between a trapezoid and its midsegment?

• The midsegment is parallel to the bases and perpendicular to the legs.

• The midsegment bisects the two legs of the trapezoid.

• There is no midsegment in a trapezoid.

• All of the above

5. What are the two solutions to the quadratic 2x2 - 9x + 10 = 0.

• 1, 2

• 2, 2.5

• 2.5, 3

• 3, 4

6. What are the two solutions to quadratic 3x2 + 7x – 20 = 0.

• -12, 5

• 0.37, 6.29

• -4, 1.67

• 3.07, -5.07

7. A person rolls two, six sided number cubes. What is the probability the sum of the two numbers is even, given the first number cube shows a number less than 4?

• 1/6

• 1/4

• 1/3

• 1/2

8. A person rolls two, six sided number cubes. What is the probability the sum of the numbers is less than 5 or greater than 9?

• 1/6

• 1/4

• 1/3

• 1/2

9. A person draws a random card out of a standard deck. What is the probability it is a red face card?

• 1/26

• 1/13

• 3/26

• 2/13

10. A person draws two random cards out of a standard deck. What is the probability both are jacks given the first is a face card and is NOT replaced?

• 1/51

• 2/51

• 3/51

• 4/51