Home->ACT Math

For the rectangle shown in the standard (x,y) coordinate plane below, what are the coordinates of the unlabeled vertex?

(A) (4,5)

(B) (4,7)

(C)

(D) (6,7)

(E) (10,4)

A school offered its students an optional field trip. If 15 or fewer students went on the field trip, the charge for each student would be $11.50. If more than 15 students chose to go on the field trip, the charge for each student would be $10.25. 18 students opted to go on the tour, but each pre-paid $11.50. The students agreed to put the extra amount toward dinner on the trip. How much total money will be put toward dinner on the trip?

(F) $12.50(G) $14.75(H) $21.75(J) $22.50(K) $33.00

Correct Answer: J

The lead of a screw is the distance that the screw advances in a straight line when the screw is turned 1 complete turn. If a screw is 2 inches long and has a lead of inch, how many complete turns would get it all the way into a piece of wood?

(A)5 (B)10 (C)15 (D)20 (E)25

Correct Answer: D

The figure below is a pentagon (5-sided figure). Suppose a second pentagon were overlaid on this pentagon. At most, the two figures could have how many points of intersection?

(A) 1 (B) 2 (C) 5 (D) 10 (E) Infinitely many

Correct Answer: E