Online ACT-Math Test Brain Dump Question and Test Engine [Q67-Q85]

Q67. FILL BLANK
What is the distance from the point where the line given by the equation 3y = 4x + 24 crosses the x-axis to the point where the line crosses the y-axis?

Q68. 8% of 60 is 1/5 of what number?

Q69. In the standard (x, y) coordinate plane, what is the midpoint of the line segment that has endpoints (3, 8) and (1, -4)?

Q70. What is the perimeter, in feet, of a rectangle with width 10 feet and length 20 feet?

Q71. The point (6, -3) could be the midpoint of which of the following lines?

Q72. The average of five consecutive odd integers is -21.
What is the least of these integers?

Q73. The sum of 2 positive numbers is 151. The lesser number is 19 more than the square root of the greater number.
What is the value of the greater number minus the lesser number?

Q74. The 35-member History Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, CANNOT be any of the 3 officers of the club.
What is the probability that Hiroko, who is a member of the club but NOT an officer, will be chosen?

Q75. If 3x – 1 = 11, what is the value of 3x + 1?

Q76. Line y = 2/3x – 5 is perpendicular to line:

Q77. If p < 0, q > 0, and r > p, then which of the following must be true?

Q78. What is the value of the expression below?

Q79. Simon plays a video game four times. His game scores are 18 points, 27 points, 1 2 points, and 15 points.
How many points must Simon score in his fifth game in order for the mean, median, and mode of the five games to equal each other?

Q80. The radius of the outer circle shown above is 1.2 times greater than the radius of the inner circle.

What is the area of the shaded region?

Q81. The statement “Raphael runs every Sunday” is always true.
Which of the following statements is also true?

Q82. What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3?

Q83. FILL BLANK
Stephanie buys almonds at the grocery store for $1.00 per pound. If she buys 4 pounds of almonds and pays a 5% tax on her purchase, what is Stephanie’s total bill?

Q84. A circle in the standard ( x , y ) coordinate plane has center C (-1, 2) and passes through A (2, 6). Line segment

is a diameter of this circle. What
are the coordinates of point B?

Q85. A dish is cooked with the secret ingredients A, B, and C mixed in the ratio 2:3:5, respectively, by weight.
How many pounds of secret ingredient A are in 4 2 pounds of the dish?