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ACT ACT-Math Exam Syllabus Topics:

ACT American College Testing: Math Section Sample Questions:

1. If the surface area of a cube is 384 cm2, what is the volume of the cube?

A) 64 cm3
B) 51 2 cm3
C) 115 2 cm3
D) 256 cm3
E) 4096 cm3

2. If 40% of j is equal to 50% of k, then j is:

A) 20% larger than k.
B) 10% larger than k.
C) 80% larger than k.
D) 25% larger than k.
E) 15% larger than k.

3. If the statement "All students take the bus to school" is true, then which of the following must be true?

A) If Courtney is not a student, then she does not take the bus.
B) None of the above.
C) If Courtney does not take the bus to school, then she is not a student.
D) If Courtney takes the bus to school, then she is a student.
E) All of the above.

4. Which of the following sets of numbers contains all and only the roots of the equation f(x) = x 3 + 7 x 2 - 8 x ?

A) {0, 8, -1}
B) {0, -8, 1}
C) {8, -1}
D) {-8, 1}
E) {0, -1, -8, 1, 8}

5. A sack contains red, blue, and yellow marbles. The ratio of red marbles to blue marbles to yellow marbles is 3:4:8.
If there are 24 yellow marbles in the sack, how many total marbles are in the sack?

A) 48
B) 96
C) 144
D) 72
E) 45

Solutions: