## Alan has a rectangular photograph that is 20 centimeters wide by 30 centimeters long. Alan wants to reduce the area of the photograph by 264 square centimeters by decreasing the width and length by the same amount. What will be the new dimensions (width by length), in centimeters?

(A)11 by 24

(B) 12 by 22

(C) 12 by 28

(D) 14 by 24

(E) 16 by 21

In the triangle below, the lengths of the two given sides are measured in centimeters. What is the value, in centimeters, of *x*?

(A) 9 sin 40° (B) 9 sin 50° (C) 9 cos 50° (D) 9 tan 40° (E) 9 tan 50°

**Correct Answer: B**

If a board 9 feet 6 inches in length is cut into 2 equal parts, what will be the length of each part?

（A）3 feet 8 inches （B） 4 feet 5 inches （C） 4 feet 8 inches （D） 4 feet 9 inches （E） 5 feet 2 inches

**Correct Answer: D**

A parabola with vertex (-3,-2) and axis of symmetry y = -2 crosses the y-axis at (0, -2 + 3). At what other point does the parabola cross the y-axis?

（A）No other point （B） (0,2 + 3) （C） (0,2 - 3) （D） (0,-2 - 3) （E） Cannot be determined from the given information

**Correct Answer: D**

### More ACT Math Exam Questions

- 1The volume of a cone is given by the formula V = R
^{2}h, where R is the radius of the base of the cone and h is the height of the cone. What is the volume, in cubic centimeters, of a cone with a height of 8 cm that has a base with a radius of 3 cm? - 2A circle in the standard (x, y) coordinate plane has center (12,-5) and radius 4 coordinate units. Which of the following is an equation of the circle?
- 3The length of arc XY of a circle is equal to of the circumference of the circle. The length of the arc is 7π inches. What is the radius, in inches, of the circle?
- 4
The employees at Belinda's Paint Store are having a competition to see who can create the most new accounts over a period from January to June in a certain year. Data is missing because one of the employees began to erase it from the white board, thinking that the competition was over. The numbers in the chart below have been confirmed with the assistant manager's personal records.

Additional records are uncovered that show that Don's sales decreased 5% each month from January to May because his responsibilities in the store mounted and he could not seek out new accounts as frequently. Which of the following is closest to the number of new accounts Don created in May?

- 5In the diagram, B, C, and d are collinear. The measures of a and ABC are 56° and 69°, respectively. The measure of ACD = ?