GRE Practice Questions — All Questions
5 questions
A circle has a radius of 5. What is its area, in terms of pi?
- a.10 pi
- b.15 pi
- c.20 pi
- d.25 pi✓
Area = pi x radius squared = pi x 5 squared = 25 pi.
A right triangle has legs of length 6 and 8. What is the length of its hypotenuse?
- a.9
- b.10✓
- c.12
- d.14
By the Pythagorean theorem, hypotenuse squared = 6 squared + 8 squared = 36 + 64 = 100, so the hypotenuse = 10. This is the well-known 6-8-10 triangle.
The three angles of a triangle are in the ratio 1 : 2 : 3. What is the measure of the largest angle?
- a.60 degrees
- b.80 degrees
- c.90 degrees✓
- d.120 degrees
The ratio has 1 + 2 + 3 = 6 parts, and the angles sum to 180 degrees, so each part is 180 / 6 = 30 degrees. The largest angle is 3 parts = 3 x 30 = 90 degrees.
The mean (average) of five numbers is 12. What is their sum?
- a.60✓
- b.50
- c.17
- d.12
Mean = sum / count, so sum = mean x count = 12 x 5 = 60.
What is the median of the data set 4, 8, 8, 10, 20?
- a.4
- b.8✓
- c.10
- d.12
The values are already in order, and there are five of them, so the median is the third value. The third value is 8.