In isosceles triangle ACE, shown below, B and D are the midpoints of congruent sides and respectively. ABE measures 95°, and DAE measures 35°. What is the measure of DEB?
(A)50°
(B) 30°
(C) 25°
(D) 15°
(E) 10°
At Fatima's Fruits, a bag of eight grapefruits costs $4.40. At Ernie's Edibles, a bag of three grapefruits costs $1.86. How much cheaper, per grapefruit, is the cost at Fatima's Fruits than at Ernie's Edibles?
(A) $0.07 (B) $0.35 (C) $0.59 (D) $1.17 (E) $2.54
Correct Answer: A
A circle has a radius that is the same length as the sides of a square. If the square has a perimeter of 64 square inches, what is the area, in square inches, of the circle?
(A) 16 (B) 16π (C) 32π (D) 64π (E) 256π
Correct Answer: E
Mr. Dietz is a teacher whose salary is $22,570 for this school year, which has 185 days. In Mr. Dietz's school district, substitute teachers are paid $80 per day. If Mr. Dietz's takes a day off without pay and a substitute teacher is paid to teach Mr. Dietz's classes, how much less does the school district pay in salary by paying a substitute teacher instead of paying Mr. Dietz's for that day?
(F) $ 42
(G) $ 80
(H) $ 97
(J) $105
(K) $122
Correct Answer: F
More ACT Math Exam Questions
- 1
A rock band, The Young Sohcahtoans, is trying to design a t-shirt logo. The measurements they have chosen are represented on the figure below. The angle to the right of the logo "TYS" has a degree measure of 35°, and the side of the figure has a measure of 10 in. Which of the following expressions gives the measure, in inches, of the diagonal top side of the figure?
- 2
What is the value of ain terms bif ?
- 3
Carla has 5 times as many notebooks as her brother does. If they have 42 notebooks between them, how many notebooks does Carla have?
- 4
The following figure shows the graph of an equation y= ax2+ bx+ c.Which of the answer choices CANNOT be true
- 5
In the figure below, ray was constructed starting from rays and . By using a compass D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF: