ACT Math1 Model Test
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Question 1 of 50
1. Question
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Question 2 of 50
2. Question
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Question 3 of 50
3. Question
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Question 4 of 50
4. Question
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Question 5 of 50
5. Question
A triangle is composed of angles represented as:
3x+10, −2x+40, and x+40
What is the value of x?
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Question 6 of 50
6. Question
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Question 7 of 50
7. Question
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Question 8 of 50
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Question 9 of 50
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Question 10 of 50
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Question 11 of 50
11. Question
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Question 12 of 50
12. Question
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Question 13 of 50
13. Question
What is the slope of the line with the equation 2x + 3y + 6 = 0 ?
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Question 14 of 50
14. Question
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Question 15 of 50
15. Question
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Question 16 of 50
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Question 17 of 50
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Question 18 of 50
18. Question
The average of 7 numbers is 24. The smallest of the numbers is 2 and the largest of the numbers is 31. What is the average of the middle 5 numbers?
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Question 19 of 50
19. Question
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Question 20 of 50
20. Question
A, B, and C are consecutive odd integers such that A<B<C.
If A + B + C = 81, then A + C =
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Question 21 of 50
21. Question
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Question 22 of 50
22. Question
Two side lengths of a triangle are 5 and 6, which of the following CANNOT be the length of the third side?
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Question 23 of 50
23. Question
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Question 24 of 50
24. Question
Five pieces of toast and two eggs cost $1.50. Two toasts and five eggs cost $2.70. How much does one piece of toast and one egg cost?
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Question 25 of 50
25. Question
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Question 26 of 50
26. Question
Each term in a sequence of numbers is created by halving the previous number in the sequence, multiplying it by 3 and subtracting 5. If the 3rd number in this sequence is 41.5, what is the fourth number in the sequence?
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Question 27 of 50
27. Question
The tree above casts a shadow that is 24 feet long, and the angle of elevation from the tip of the shadow to the top of the tree has a cosine of 4/5. What is the height of the tree?
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Question 28 of 50
28. Question
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Question 29 of 50
29. Question
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Question 30 of 50
30. Question
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Question 31 of 50
31. Question
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Question 32 of 50
32. Question
If 68% of a number is 102, what is 250% of the same number?
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Question 33 of 50
33. Question
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Question 34 of 50
34. Question
Circle A is centered about the origin and has a radius of 5. What is the equation of the line that is tangent to Circle A at the point (–3,4)?
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Question 35 of 50
35. Question
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Question 36 of 50
36. Question
Which of the following is equivalent to
3a + 4b – (–6a – 3b) ?CorrectIncorrect 
Question 37 of 50
37. Question
A line runs tangent to a circle at the point (4,2). The line runs through the origin (0,0). Find the slope of the tangent line.
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Question 38 of 50
38. Question
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Question 39 of 50
39. Question
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Question 40 of 50
40. Question
There is a circle on a coordinate plain. Its perimeter passes through the point (1,0). At this point meets a tangent line, which also passes through the point (5,7). What is the slope of the line perpendicular to this tangent line?
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Question 41 of 50
41. Question
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Question 42 of 50
42. Question
On a math test, 12 students earned an A. This number is exactly 25% of the total
number of students in the class. How many students are in the class?CorrectIncorrect 
Question 43 of 50
43. Question
What is the sum of the x and y coordinates of the midpoint between the points (−2,9) and (10,−4)?
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Question 44 of 50
44. Question
If the ratio of milk jugs to juice boxes is 13:xx and there are 39 milk jugs and 18 juice boxes, what is the value of x?
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Question 45 of 50
45. Question
Adam tried to compute the average of his 7 test scores. He mistakenly divided the
correct sum of all of his test scores by 6, which yielded 84. What is Adam’s correct
average test score?CorrectIncorrect 
Question 46 of 50
46. Question
A group of 6 students are going to have a vote to determine who should be President, Vice President, Secretary, and Treasurer with only 1 person per job. How many different groups can be formed from the 6 students?
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Question 47 of 50
47. Question
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Question 48 of 50
48. Question
A total of 50 juniors and seniors were given a mathematics test. The 35 juniors
attained an average score of 80 while the 15 seniors attained an average of 70. What
was the average score for all 50 students who took the test?CorrectIncorrect 
Question 49 of 50
49. Question
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Question 50 of 50
50. Question
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