Gregor works as a political intern and receives a monthly paycheck. He spends 20% of his paycheck on rent and deposits the remainder into a savings account. If his deposit is $3,200, how much does he receive as his monthly pay?
(A) $4,000
(B) $5,760
(C) $7,200
(D) $8,000
(E) $17,000
If the lengths of the sides of the triangle below are shown in inches, how many inches long is side ?
(A)2 (B) 10 (C) 4 (D) 26 (E) 42
Correct Answer: A
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
In the figure below, ABCD is a square. Points are connected on each pair of adjacent sides of ABCD to form 4 congruent right triangles, as shown below. Each of these triangles has one leg that is twice as long as the other leg. If the area of the shaded region is 25 square feet, what is the area of square ABCD in square feet?
(A)225 (B) 112.5 (C) 56.25 (D) 45 (E) 27
Correct Answer: D
More ACT Math Exam Questions
- 1A photocopy machine enlarges a small triangle to produce a larger, similar triangle, as shown below. If the lengths of the sides, in inches, are as marked on the figure, and the triangles are similarly oriented, what is the value of x in inches?
- 2
For what value of x, if any, is the equation (x - 1)2 = (x - 7)2 true?
- 3Gina watched as a plane took off from the runway and climbed to 30,000 feet. She calculated the plane's height, h feet, t seconds after takeoff to be given by h = 1,200 + 32t. To the nearest second, how many seconds did it take the plane to climb to a height of 2 miles? (Note: 1 mile = 5,280 feet)
- 4
In the following figure, each circle is tangent to the other two circles, and the two shaded circles are identical to each other. What is the ratio of the shaded region to the nonshaded region?
- 5
If a number sequence begins 1, 3, 4, 6, 7, 9, 10, 12 . . ., which of the following numbers does NOT appear in the sequence?