A carpet company uses the following formula for estimating the number of square feet, a, of carpeting needed for a room x feet by y feet, containing a stairway w feet by z feet, with n stairs: a = xy + w[z(2n - 1) + 2n] What is the company's estimate for the number of square feet of carpeting needed for a room that is 15 feet by 18 feet, containing a stairway that is 6 feet by 6 feet with 8 stairs?
(A)826
(B) 894
(C) 906
(D) 1,086
(E) 1,636
Whenever a, b, and c are positive real numbers, which of the following expressions is equivalent to 
(A) 
(B) 
(C) 
(D) log4(a - c) - log8 2b
(E) log4(a - c) - log8b2
Correct Answer: A
The diagonal of a square quilt is 4
feet long. What is the area of the quilt in square feet?
(F) 16
(G) 16
(H) 4
(J) 4
(K)
Correct Answer: G
In the figure below, 
is a line segment and all distances are given in inches. What is the ratio of the area of quadrilateral RBCS to the area of quadrilateral SCFT?
（A）9:7 （B） 7:9 （C） 11:13 （D） 11:39 （E） 11:50
Correct Answer: D
More ACT Math Exam Questions
- 1
In the (x,y) coordinate plane, what is the diameter of the circle having its center at (-6,1) and (0,9) as one of the endpoints of a radius?
- 2
The kinetic energy, KE, of an object travelling at v velocity can be modeled by the equation KE =
mv2, where m
is the mass of the object. If an object is moving at a velocity of 9,
and it has a kinetic energy of 120, about how great is the object's
mass? - 3
If 2x– y= 32 and 5x+ 3y= 14, then xy=
- 4
Michael is planning to put fencing along the edge of his rectangular backyard, which is 22 yards by 16 yards. One long side of the backyard is along his house, so he will need to fence only 3 sides. How many yards of fencing will Michael need?
- 5Is a 30 good on the ACT?