Math ACT Questions
A boat is traveling at a speed of 30 miles per hour. What is the boat’s speed in feet per second?
(Note: 1 mile =5,280 feet)
44 ft/s
What is the value of x if
3x + 7 = 22?
5
Tim’s math homework is on
five consecutive pages in the
math textbook, and the sum of
those page numbers is 630.
What is the page number of the
next page after these five
homework pages?
129
What is the probability that
a randomly selected two-digit
positive integer will be a
multiple of 11? Express your
answer as a common fraction.
1/10
I am a 3-digit number.
All my digits are even, and they are all different.
The sum of my digits is 12.
My tens digit is larger than my hundreds digit.
If you reverse my digits, the new number is 198 less than the original.
What number am I?
264
An admissions office accepts 2 out of every 7 applicants. Given that the school accepted 630 students, how many applicants were NOT accepted?
1575 applicants were not accepted
The legs of a right triangle
measure 3/5 inches and 4/5 inches.
In inches, what is the length of
the hypotenuse?
1 (inch)
A bag contains 3 red marbles and 4 blue marbles. Three marbles are drawn from the bag at random and without replacement. What is the probability that the marbles drawn will alternate in color, either a red-blue-red sequence or a bluered-blue sequence? Express your answer as a common fraction.
2/7
Each of the 2898 students at
Descartes Middle School voted for
his or her favorite meal chosen
from a list of six different meals.
Pia created a circle graph to
represent the data. If a 60-degree
sector of the circle graph represents
votes for pizza, how many students
voted for pizza?
483 students
Using only an addition, how do you add eight 8’s and get the number 1000?
888 + 88 + 8 + 8 + 8 = 1000
A 3 inch tall rectangular box with a square base is constructed to hold a circular pie that has a diameter of 8 inches. What is the volume, in cubic inches, of the smallest box that can hold this pie?
192 in3
What is the greatest prime
factor of the difference 64^2 − 61^2?
5
The number 18 can be
written as the sum of nine
consecutive integers. What is
the product of these integers?
0
The arithmetic mean of x, 25, 30 and 43 is 35. What is the value of x?
42
What should come next in the sequence:
53,53,40,40, 27, 27
14
Given that today is Tuesday, what day of the week was it 200 days ago?
Friday
John is 3 years older than
Peter. Ten years ago the sum of
their ages was 59. In years, how
old is John now?
41 years
How many distinct factors
of 25! are prime numbers?
9
Franklin (Frank or Frankie are also acceptable)
If 72 x 96 = 6927, 58 x 87 = 7885, then 79 x 86 = ?
6897
At a certain time of day, a flagpole casts a 9.0-foot-long shadow and a nearby 4.0-foot-tall fence post casts a 2.4-foot-long shadow. Given that both the flagpole and the fence post are vertical and on level ground, what is the height, in feet, of the flagpole?
15 ft
When the positive integer x
is divided by each of 4, 5 and 6,
it has a remainder of 3. What is
the sum of the three smallest
possible values of x?
189
Sharon drives 30 mi at 60 mi/h
and 60 mi at 30 mi/h. What is
Sharon’s average speed, in miles
per hour, for the whole trip?
36 mi/h
In the game Yahtzee®, five
standard dice are tossed. What is
the probability that all five dice
show even numbers or all five
show odd numbers? Express
your answer as a common
fraction.
1/16
Tom asked his Granny how old she was. Rather than giving him a straight answer, she replied:
"I have 6 children, and there are 4 years between each one and the next. I had my first child (your Uncle Peter) when I was 19. Now the youngest one (Your Auntie Jane) is 19 herself. That's all I'm telling you!"
How old is Tom's Granny?
58