So far, a student has earned the following scores on four 100-point tests this grading period:65,73,81, and 82. What score must the student earn on the fifth and last 100-point test of the grading period to earn an average test grade of 80 for the 5 tests?
(A) 75
(B) 76
(C) 78
(D) 99
(E) The student cannot earn an average of 80.
Paulette, Quentin, and Rosie each donated money to a charity. Paulette gave as much money as Quentin and Rosie gave together. If Quentin had given three times more than he gave, he would have given $40 more than Paulette. And if Rosie had given $20 less, she would have given half as much as Paulette. How much did Paulette give?
(A) $80(B) $120(C) $160(D) $200(E) $240
Correct Answer: D
The figure below shows representations of the first 4 triangular numbers, 
through 
. What is the value of 
?
(F) 144 (G) 168 (H) 288 (J) 300 (K) 600
Correct Answer: J
Violet is baking a mixed berry pie that contains blueberries, cherries, blackberries, and raspberries. She uses three times as many blackberries as cherries, twice as many blueberries as raspberries, and the same number of blackberries and raspberries. If Violet has 10 cherries, how many of each of the other berries must she use? Raspberries Blueberries Blackberries
（A）3 2 3 （B） 30 2 3 （C） 30 2 30 （D） 30 60 10 （E） 30 60 30
Correct Answer: E
More ACT Math Exam Questions
- 1If x = 6 and y = –2, what is the value of 3xy+ 2x2 – y3?
- 2
What is the distance, in coordinate units, between the points M (1,-3) and N (-5,5) in the standard (x,y) coordinate plane?
- 3
In the (x,y) coordinate plane below, points P (6,2) and Q (1,4) are two vertices of ΔPQR. If
PQR is a right angle, then which of the following could be the coordinates of R?
- 4
What is the area, in square meters, of the figure below?
- 5Danielle’s phone plan charges her $30 per month for the first 200 minutes and then $0.10 per minute for each subsequent minute. If Danielle paid exactly $100 last month, how many minutes did she use?