The 8-sided figure below is divided into 12 congruent isosceles right triangles. The total area of the 12 triangles is 96 square centimeters. What is the perimeter, in centimeters, of the figure?
(G) 20 + 4
(J) 40 + 8
The width of a rectangular cardboard box is half its length and twice its height. If the box is 12 cm long, what is the volume of the box in cubic centimeters?
（A）72 （B） 216 （C） 252 （D） 1,296 （E） 1,728
Correct Answer: B
If 3x+ 5y= 4, which of the following is equivalent to the expression (6x+ 10y)(100x+ 100y)?
(A) 100x+ 100y(B) 200x+ 200y(C) 400x+ 400y(D) 800x+ 800y(E) 1,600x+ 1,600y
Correct Answer: D
Which of the following is equal to (n– 3)2if n= 11?
(A) (n+ 6)(n– 6)(B) (n+ 5)(n– 7)(C) (n+ 4)(n– 8)(D) (n+ 3)(n– 9)(E) (n+ 2)(n– 10)
Correct Answer: B
More ACT Math Exam Questions
The following figure shows a cylindrical tank whose diameter is 3 times the length of its height. The tank holds approximately 231.5 cubic meters of fluid. Which of the following answer choices most closely approximates the height of the tank?
- 2 In a right triangle, the two non-right angles measure 7x and 8x. What is the measure of the smaller angle
- 3As part of a school report on the cost of gasoline, Raquel wants to find the average cost of purchasing a gallon of regular unleaded gasoline from local gas stations. She surveys 4 stations and finds the cost per gallon of regular unleaded gas from the 4 stations to be $2.45, $2.50, $2.49, and $2.56, respectively. Using this data, what is the average cost of purchasing one gallon of regular unleaded gasoline from these 4 gas stations?
- 4What is the coefficient of x8 in the product of the polynomials below?
(–x4 + 3x3 - 5x2 + x - 5)(5x4 - 2x3 + x2 - 5x + 2)
- 5For all values, x, y, and z, if x ≤ y and y ≤ z, which of the following CANNOT be true? I. x = z II. x > z III. x < z