The volume of a cone is given by the formula V = R2h, where R is the radius of the base of the cone and h is the height of the cone. What is the volume, in cubic centimeters, of a cone with a height of 8 cm that has a base with a radius of 3 cm?
(A)72π
(B) 48π
(C) 24π
(D) 12π
(E) 8π
What is the greatest common factor of 42, 126, and 210 ?
(A)2 (B)6 (C)14 (D)21 (E)42
Correct Answer: E
For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?
(F) b (G) b + 5 (H) 2b (J) (K) 10
Correct Answer: K
Salvador is trying to scale his rectangular self-portrait down to postcard size. The painting is 9 feet wide by 16 feet long. He is using a scale of inch = 1 foot for the postcard-sized self-portrait. What will be the dimensions, in inches, of Salvador's postcard-sized self-portrait?
(F) 1 by 4 (G) 3 by 5 (H) 3 by 4 (J) 27 by 48 (K) 36 by 64
Correct Answer: G
More ACT Math Exam Questions
- 1
The percent P of a population that has completed 4 years of college is given by the function P(t) = -0.001t2 + 0.4t where t represents time, in years. What percent of the population have completed four years of college after 20 years, to the nearest tenth?
- 2
If a(x) = b(x) + c(x), where b(x) = 3x2 - 8x + 113 and c(x) = - 3x2 + 18x + 7 and x is an integer, then a(x) is always divisible by which of the following?
- 3What is the missing number in the sequence 1, 5, 10, 16, 23, 31, __?
- 4In the figure shown below, bisects BAD, and bisects CAE What is the measure of CAD?
- 5
In the spring semester of her math class, Katie's test scores were 108, 81, 79, 99, 85, and 82. What was her average test score in the spring semester?