Welcome to our “Daily Math Practice Challenge: Preparing for the ACT Exam”! This challenge is designed to help you engage in targeted math practice every day, gearing up for the ACT exam. Through daily exercises, you will enhance your problem-solving speed, deepen your understanding of mathematical concepts, and strengthen your ability to tackle a variety of math problems.
1. What is the least positive number that has a remainder of 4 when divided by 7 and a remainder of 3 when divided by 6 ?
F. 20
G. 35
H. 39
J. 42
K. 46
2. The vertices of ΔPQR are given in the standard (x,y) coordinate plane below. What is the area, in square coordinate units, of ΔPQR ?
A. 6
B. 10
C. 12
D. 15
E. 30
Use the following information to answerquestions 3–5.
Data for each of 10 students is represented by a corresponding data point plotted in the standard (x,y) coordinate plane below. Each point has 2 integer coordinates. The x-coordinate is the number of hours the student spent studying for a retake test, and the y-coordinate is the change in score from the original test to the retake test. Noel drew the line shown through 2 data points to help predict future changes in score.
3. Both the original and the retake tests had a maximum score of 50. Among the 10 students who took the retake test, Jin studied for the greatest number of hours. What is the number of percentage points Jin’s score increased?
F. 7%
G. 12%
H. 13%
J. 16%
K. 30%
4. What is the median number of hours spent studying by all 10 students?
A. 2.0
B. 2.5
C. 3.0
D. 3.2
E. 3.5
5. An 11th student is currently retaking the test. This student has studied 5 hours for the retake test. According to Noel’s line, what is the predicted change in score for the 11th student?
F. 2
G. 3
H. 4
J. 5
K. 7