Welcome to My ACT Guide!

The ACT is a standardized test designed to measure your critical thinking skills and to assess your ability to apply knowledge and logic when solving problems. Every year, more than 2 million students take the ACT in order to get admissions to the colleges in the United States. The ACT test is divided into four multiple choice subject tests: English, Mathematics, Reading, and Science.

Recent Updates

For ΔABC shown below, base AC has a length of 16 inches

February 07, 2021

For ΔABC shown below, base AC has a length of 16 inches and altitude BD has a length of 8 inches. The area of a certain square is equal to the area of ΔABC. What is the length, in inches, of a side of the square?

  1. 6
  2. 8
  3. 12
  4. 16
  5. 32

The perimeter of rectangle ABCD is 96 cm

February 05, 2021

The perimeter of rectangle ABCD is 96 cm. The ratio of the side lengths AB:BC is 3:5. What is the length, in centimeters, of AB?

  1. 6
  2. 18
  3. 30
  4. 36
  5. 60

For an angle with measure α in a right triangle, sin α = 40/41

February 03, 2021

For an angle with measure α in a right triangle, sin α = 40/41 and tan α = 40/9. What is the value of cos α ?

  1. 9/41
  2. 41/9
  3. 9/40
  4. 9/√1,519
  5. 9/√3,281

Which of the following inequalities is equivalent to -2x - 6y > 2y - 4

February 01, 2021

Which of the following inequalities is equivalent to -2x - 6y > 2y - 4 ?

  1. x < -4y + 2
  2. x > -4y + 2
  3. x < 2y + 2
  4. x < 4y + 2
  5. x > 4y + 2

40% of 250 is equal to 60% of what number

January 30, 2021

40% of 250 is equal to 60% of what number?

  1. 150
  2. 160
  3. 166 2/3
  4. 270
  5. 375

Graphed in the same standard (x,y) coordinate plane are a circle and a parabola

January 28, 2021

Graphed in the same standard (x,y) coordinate plane are a circle and a parabola. The circle has radius 3 and center (0,0). The parabola has vertex (-3,-2), has a vertical axis of symmetry, and passes through (-2,-1). The circle and the parabola intersect at how many points?

  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

For all nonzero values of a and b, the value of which expressions

January 26, 2021

For all nonzero values of a and b, the value of which of the following expressions is always negative?

  1. a - b
  2. -a - b
  3. |a| + |b|
  4. |a| - |b|
  5. -|a| - |b|

One caution sign flashes every 4 seconds, and another caution sign flashes every 10 seconds

January 24, 2021

One caution sign flashes every 4 seconds, and another caution sign flashes every 10 seconds. At a certain instant, the 2 signs flash at the same time. How many seconds elapse until the 2 signs next flash at the same time?

  1. 6
  2. 7
  3. 14
  4. 20
  5. 40

To test a new medicine, each of 300 volunteers was assigned

January 22, 2021

To test a new medicine, each of 300 volunteers was assigned a distinct number from 1 to 300. Next, a calculator was used to simulate drawing 150 balls from among 300 congruent balls. The balls were numbered the same way as the volunteers so that 150 volunteers to receive the new medication would be chosen without bias. The other volunteers received a placebo. Weeks later, the 2 groups were compared. Which of the following phrases best describes the company’s testing?

  1. Randomized census
  2. Randomized experiment
  3. Nonrandomized experiment
  4. Randomized sample survey
  5. Nonrandomized sample survey

If x and y are positive integers such that the greatest common factor

January 20, 2021

If x and y are positive integers such that the greatest common factor of x2y2 and xy3 is 45, then which of the following could y equal?

  1. 45
  2. 15
  3. 9
  4. 5
  5. 3

A line contains the points A, B, C, and D. Point B is between points A and C

January 18, 2021

A line contains the points A, B, C, and D. Point B is between points A and C. Point D is between points C and B. Which of the following inequalities must be true about the lengths of these segments?

  1. BC < AB
  2. BD < AB
  3. BD < CD
  4. CD < AB
  5. CD < BC

A 5-inch-by-7-inch photograph was cut to fit exactly

January 16, 2021

A 5-inch-by-7-inch photograph was cut to fit exactly into a 4-inch-by-6-inch frame. What is the area, in square inches, of the part of the photograph that was cut off?

  1. 2
  2. 10
  3. 11
  4. 12
  5. 24