January ACT MATH Review

Trey attended a New Year's Eve event and watched a ball drop at midnight. Prior to midnight, the bottom of the ball was 150 feet above the ground. If Trey’s horizontal line of sight is 6 feet above the ground and he stands 80 feet from the base of the pole the ball is on, what is the angle of elevation, x?

• 60.9 degrees

• 45 degrees

• 30 degrees

• 75.3 degrees

Placing in a single layer, edge to edge, what is the maximum number of snowballs with area 4π in² that Jill can fit in a 12” x 12” box lid?

• 4

• 9

• 16

• 12

As part of his New Year’s resolution to be more active, Mike plans to go to the gym to play handball every 3rd day. Jay makes a similar resolution, but plans to go to the gym for handball every 4 days. If they are both at the gym today, what is the next time (in number of days) they will both be at the gym?

• 6 days

• 12 days

• 9 days

• 15 days

In years past, the Time’s Square New Year’s Eve crystal ball dropped 141 ft in 60 seconds. Let’s assume a taller pole is made for this year. If the drop rate is increased by 0.15 ft/sec, how many feet have been added to the pole given the ball still drops over a 60 second time period?

• 9 feet

• 12 feet

• 18 feet

• 15 feet

When graphed, the cos(x) function resembles a snowy ski slope!

Is f(x) = cos(x) even, odd, or neither? How do you know?

• Even

• Odd

• Neither

• Both

If the daily low temperatures (°F) over a 10 day period are 34, 35, 30, 24, 18, 30, 34, 30, 28, and 29, what are the mean, median, mode, and standard deviation of these 10 low temperatures?

• Mean: 29.2, Median: 30, Mode: 30, Standard Deviation: 5.2

• Mean: 30.2, Median: 29, Mode: 30, Standard Deviation: 4.5

• Mean: 29.2, Median: 30, Mode: 30, Standard Deviation: 4.85

• Mean: 30.2, Median: 30, Mode: 29, Standard Deviation: 5.2

Given the 2 cities plotted on a coordinate plane below, what is the midpoint of the line connecting these 2 cities?

• (4, 3.5)

• (3, 3.5)

• (4, 2)

• (3, 2)

Write the equation that represents the situation and solve: The circumference of the snowball Patty made is ⅔ as large as the one Sarah made. If Patty’s snowball has a circumference of 20π, what is Sarah’s snowball’s circumference? What is the diameter of each snowball?

• Sarah's circumference: 30π,

  Patty's diameter: 10,

  Sarah's diameter: 15

• Sarah's circumference: 30π,

  Patty's diameter: 15,

  Sarah's diameter: 10

• Sarah's circumference: 20π,

  Patty's diameter: 10,

  Sarah's diameter: 10

• Sarah's circumference: 25π,

  Patty's diameter: 10,

  Sarah's diameter: 12.5

Packing away holiday decorations, Abby uses a box with dimensions 8” x 6” x 12”. What is the volume of this box?

What is the probability of randomly choosing a student whose favorite item is a snowboard?

• 12/31

• 8/31

• 5/31

• 6/31