Junior Math Part 5

1. Triangle ABC and QRS are similar. If BC=9, RS=18, AC=5x-3, RQ=8x, AB=6x-1, QS= 11x+1, what is the perimeter of triangle QRS?

• 38

• 46

• 76

• 92

2. Triangle ABC is formed to the right with altitude BD. If AD=6 and BD=8, what is the length of BC?

• 12.57

• 13.34

• 14.12

• 16.89

3. Triangle ABC is formed to the right with altitude BD. If AD=4 and DC=9, what is the length of BD?

• 5

• 6

• 7

• 8

4. Triangle ABC is formed to the right with altitude BD. If AC=10 and AB=6, what is the length of AD?

• 3.6

• 4.9

• 5.7

• 8.3

5. In circle O, diameter ST bisects chord QR at point

P and at a right angle. If ST=10, and QR=8, what is the length of OP?

• 2

• 3

• 4

• 5

6. In circle O, BF is the diameter, AD and CE are chords.

OH bisects and is perpendicular to AD.

OM bisects and is perpendicular to CE.

OH and OM are equal.

If BF=30, AD=20 and OM=9, what is the length of OH+AH?

• 16

• 17

• 18

• 19

7. Line DE is tangent to circle O and line DG is a secant of circle O. These lines intersect at point D. If DE = x, DF = 5, and FG = 15, what is x?

• 11.18

• 10

• 8.67

• 7.5

8. Secants PS and PT intersect at point P. If PQ = 3, QS = 13,

PR = 4, what is RT?

• 6

• 8

• 10

• 12

9. What is the difference between a tangent line for circle and a secant line for circles?

• The two points of interception of a tangent line form a chord while the two points of

  interception of a secant line form a centroid.

• A secant line always makes a 90-degree angle with the radius while a tangent does not.

• A tangent line intercepts a circle twice while a secant only intercepts a circle in one location

• A tangent line intersects a circle at only one spot where a secant intercepts a circle at two places.

10. A person rolls two, six sided number cubes. What is the probability of the sum of the two numbers being 2 or 12?

• 1/4

• 1/11

• 1/18

• 1/36