In the figure below, lengths in units and angle measures in degrees are as marked. How many units long is ?
(A)3
(B) 3
(C) 3
(D) 6
(E) 3
The sum, S, of an arithmetic sequence with first term x1 is given by , where n is the number of terms in the sequence. The sum of 5 consecutive terms in a given arithmetic sequence is 145, and x5 is 48. What is the sixth term of this sequence?
(A)49 (B) 57.5 (C) 77 (D) 154.5 (E) 174
Correct Answer: B
A 16-piece orchestra wants to choose one of its members to speak at performances. They decide that this member CANNOT be one of the 4 soloists in the group. What is the probability that Itzhak, who is NOT a soloist, will be chosen as the speaker?
(A) 0(B) (C) (D) (E)
Correct Answer: C
The perimeter of an elliptical billiard table is to be covered with red velvet. The perimeter of an ellipse is given by the formula , where l is the length and w is the width, as shown in the diagram below. If the length is 4 feet and the width is 3 feet, what is the outside perimeter of the ellipse in feet?
(A)π (B) (4 + 3) (C) π (D) (4π + 3) (E) 5π
Correct Answer: A
More ACT Math Exam Questions
- 1What is a good score on the ACT for a 10th grader?
- 2What is in the ACT test?
- 3
The following figure shows a regular octagon inscribed in a circle. The arc length from Ato Bis 6π. What is the area of the shaded region of the circle?
- 4
The circumference of a circle is 50 inches. How many inches long is its radius?
- 5
Which of the following is a complete factorization of the expression 12b2c + 6bc + 3b?