ACT Math Practice Test 44 Questions with Verified Answers
What is the sum of the first 4 terms of the arithmetic sequence in which the 6th term is 8
... [Show More] and the 10th term is 13 ? - CORRECT ANSWER 14.5
The solution set of which of the following equations is the set of real numbers that are 5 units from −3 ?
| x + 5 | = −3
| x − 5 | = 3
| x + 5 | = 3
I x − 3 | = 5
| x + 3 | = 5 - CORRECT ANSWER | x + 3 | = 5
Which of the decimals −0.057, −0.57, −0.55, 0.073, 0.57 is the least? - CORRECT ANSWER -.57
For the fraction , assume that p is a prime number and q is not a multiple of p. For which of the following values of q will the decimal equivalent of be a repeating decimal with at least 1 nonzero digit that repeats?
200
80
65
40
25 - CORRECT ANSWER 65
Quadratic Formula - CORRECT ANSWER x = -b ± √(b² - 4ac)/2a
Surface Area of a Cylinder - CORRECT ANSWER 2πrh+2πr²
Volume of a cylinder - CORRECT ANSWER V=πr²h
Surface area of a sphere - CORRECT ANSWER 4πr²
Volume of a sphere - CORRECT ANSWER 4/3πr³
Discriminant - CORRECT ANSWER b^2-4ac
nCr - CORRECT ANSWER order doesn't matter
nPr - CORRECT ANSWER order does matter
circle equation - CORRECT ANSWER (x-h)^2 + (y-k)^2 = r^2
ellipse equation - CORRECT ANSWER (x-h)^2/a^2 + (y-k)^2/b^2 = 1
sin^2x+cos^2x= - CORRECT ANSWER 1
sin graph - CORRECT ANSWER value of 0 at 0.
cos graph - CORRECT ANSWER starts at 1
tangent graph - CORRECT ANSWER ALOHA
Log rules - CORRECT ANSWER MA DS PM
A package of 25 baseball cards sells for $2.00, and a package of 100 of the cards sells for $6.50. The cards in the larger package sell for how many cents less per card than the cards in the smaller package?
1/2
1 1/2
2
2 1/2 - CORRECT ANSWER 1 1/2
When 27 is divided by 6, the remainder is 3, and when 27 is divided by 7, the remainder is 6. What is the next greatest positive integer that has a remainder of 3 when divided by 6 and a remainder of 6 when divided by 7 ?
39
48
51
69
90 - CORRECT ANSWER 69
According to recent estimates, the Milky Way galaxy contains about 400 billion stars. Which of the following is 400 billion expressed in scientific notation?
(Note: 1 billion = 1,000 million)
4 x 10^14
4 x 10^13
4 x 10^12
4 x 10^11
4 x 10^10 - CORRECT ANSWER 4 x 10^11
In a basketball passing drill, 5 basketball players stand evenly spaced around a circle. The player with the ball (the passer) passes it to another player (the receiver). The receiver cannot be the player to the passer's immediate right or left and cannot be the player who last passed the ball. A designated player begins the drill as the first passer. This player will be the receiver for the first time on which pass of the ball?
24th
10th
6th
5th
4th - CORRECT ANSWER 5th
How many distinct real roots (solutions) does the equation x 4 - x = 0 have?
0
1
2
3
4 - CORRECT ANSWER 2
A movie was shown 6 times every day from November 24 through December 19. How many times was the movie shown in all?
(Note: The month of November has 30 days.) - CORRECT ANSWER 156
If (3,5) is a point on the graph of the function f, then which of the following points must be on the graph of the inverse function f (-1) ?
(−3,−5)
(-1/3, -1/5)
(1/3, 1/5)
(2,4)
(5,3) - CORRECT ANSWER (5,3)
For any x and y, sin(x + y) = (sin x)(cos y) + (cos x)(sin y).
Sin(π/2 + a)
cos a
-cos a
sin a
1 + sin a
1 + a - CORRECT ANSWER cos a
A stock's price is expected to vary between $10 and $20 over the next 6 months. It currently costs $12. If each possible value for the stock is equally likely to occur, then what is the theoretical probability that I will make money purchasing this stock?
Pretend that stock prices can only be whole-dollar amounts.
73%
80%
100%
12% - CORRECT ANSWER 73%
(First practice test #5) In 2015, the total rainfall in central city was 13 inches less than the total annual rainfall in central city in 2000. In 2016, the total rainfall was 33 inches greater than the total rainfall in 2000. If + indicates an increase in rainfall and - indicates a decrease, what was the difference, in inches, in the yearly rainfall from 2015 to 2016?
-46
-20
+10
+20
+46 - CORRECT ANSWER +46
(First Practice Test 21) A park ranger records the height of a river at 7:00 am and 7:00 pm daily. On sunday at 7 pm the river was at a height of 14 feet. It fell at a rate of 1.5 feet per day from sunday at 7 pm through thursday at 7 pm. At that time heavy rains caused the water to rise at a constant rate of 3 feet per day. At what time will the park ranger first record a height of over 14 feet?
Friday at 7pm
Saturday at 7am
Saturday at 7pm
Sunday at 7am
Sunday at 7pm - CORRECT ANSWER Sunday at 7am
(First Practice test 31) If g(n)=-3/(n+2) and h(n)=-n, for what real value of x is g(x)=h(x)?
1 only
3 only
-1 and 3 only
1 and -3 only
1 and 3 only - CORRECT ANSWER 1 and -3 only
(First practice test 38) A teacher plans to use a 40 inch long roll of string to form a border around a rectangular space on her bulletin board reserved for student use. What is the maximum amount of space, in square inches, that she can reserve on her bulletin board?
96
99
100
160
400 - CORRECT ANSWER 100
(First practice test 40) A house painting company assigns three employees to a particular customers house. The first paints 3/7 of the house in her 4 hour shift. The second paints another 1/4 of the house before the third takes over. If they all paint at the same rate, how many hours will it take the third employee to finish painting the remainder of the house by himself?
.32
2.00
3.00
3.63
9.33 - CORRECT ANSWER 3.00
(first practice test 48) For all real numbers (x,y and z), xy+z
x/y3
J.3
K.9 - CORRECT ANSWER K.9 [Show Less]