The Circumference Worksheet Page 9
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10GRE PowerPrep Solutions
Test 1: First QR Section
Question 17 Test 1, First QR Section
A developer has land that has x feet of lake....
Answer: 4400
Arithmetic: Fractions
1. Start by finding the number of lots:
1
of the total lots + 40 lots = total lots
total lots = t
9
1
1
t + 40 = t → (9)
t + (9)40 = (9)t → 1t + 360 = 9t → 360 = 8t → 45 = t
9
9
2. If there are 45 total lots and 40 of them have 100 feet of frontage, then 5 of them have 80 feet of
frontage. Determine the total frontage:
40 have 100 feet:
40 × 100 = 4000
5 have 80 feet:
5 × 80 = 400
4400
Question 18 Test 1, First QR Section
If the diameter of circle C is 3 times....
Answer: 9
Geometry: Circles
1. Supply a number for the diameter of Circle D and then find the radius and diameter of the other
circle. We chose d = 2 so that we could have a radius of 1.
Circle C
Circle D
r = 3
r = 1
2. Compute the area of each circle:
Circle D: Area = �r
→
�(1)
→
1�
2
2
Circle C: Area = �r
→
�(3)
→
9�
2
2
The area of Circle C is 9 times as large as the area of Circle D.
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