# Geometry Honors “Practice” Final Exam Problem Point

```Student Name: ___________________________ Date: ______ Per: ___________
Geometry Honors “Practice” Final Exam
Problem
Points Earned
1
____ out of 3
2
____ out of 4
3
____ out of 3
4
____ out of 9
5
____ out of 2
6
____ out of 2
7
____ out of 8
8
____ out of 6
9
____ out of 6
10
____ out of 5
11
____ out of 3
12
____ out of 5
13
____ out of 6
14
____ out of 8
Proof #1_____
____ out of 10
Proof #2_____
____ out of 10
Proof #3______
____ out of 10
TOTAL
____ out of 100
1.
2. A square pyramid with a base edge of 4 inches, is inscribed in a cone with
height of 6 inches. Find the volume of the cone in terms of . [4 points]
3.
[3 points]
4.
[9 points]
5.
6.
[2 points]
[2 points]
7.
8.
(6 points)
9.
[6 points]
10.
Given: RST with medians ̅̅̅̅̅
̅̅̅̅
RP = 2y – x, TP = 2y, PM = y – 2, and PN = x + 2
Find: The longer of the two medians.
[5 points]
11.
12.
[5 points]
13.
Trapezoid TRAP, with median MQ, is shown in the diagram below. Solve algebraically
for x and y and find the measure of MQ and measure of angle R.
[6 points]
x=
y=
MQ =
m
14. A right cylindrical log is pictured below. [8 points]
Part a: Calculate the exact volume of the cylindrical piece.
Part b: Calculate the exact surface area of the cylindrical piece above.
Part II: Proofs
Choose 3 of the following 5 proofs. Each proof is worth 10 points. Mark which 3 proofs