HiSET Practice Exam 1 Mathematical Reasoning
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In the video below, Ashlee, a math teacher, goes through the practice test question by question. She works out each math problem and reviews why the answer is correct.
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- Circles 0%
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- Question 1 of 55
1. Question
How many whole numbers are less than 3 but greater than –3?
CorrectIncorrect - Question 2 of 55
2. Question
Which number will appear farthest right on a standard number line?
CorrectIncorrect - Question 3 of 55
3. Question
How many prime numbers are less than 20 but greater than 0?
CorrectIncorrect - Question 4 of 55
4. Question
If the term of a mobile-phone contract is in multiples of a year, which duration can a customer choose?
CorrectIncorrect - Question 5 of 55
5. Question
Convert 15,000 grams to metric tons.
CorrectIncorrect - Question 6 of 55
6. Question
Convert 2.5 miles to feet.
CorrectIncorrect - Question 7 of 55
7. Question
Which decimal is the least?
CorrectIncorrect - Question 8 of 55
8. Question
Change 0.375 to a fraction. Simplify completely.
CorrectIncorrect - Question 9 of 55
9. Question
Multiply.
\(\frac{3}{16} \times \frac{4}{7}\)
CorrectIncorrect - Question 10 of 55
10. Question
Divide.
\(\frac{8}{9}\div \frac{5}{7}\)
CorrectIncorrect - Question 11 of 55
11. Question
Solve the equation for the unknown.
\(\frac{x}{2}+5=8\)
CorrectIncorrect - Question 12 of 55
12. Question
Solve the inequality for the unknown.
\(\frac{1}{2} \left( 4x+3 \right) <\frac{3}{4}x+2\)
CorrectIncorrect - Question 13 of 55
13. Question
Solve the system of equations.
\(-2x+2y=28\\3x+y=-22\)
CorrectIncorrect - Question 14 of 55
14. Question
Solve the system of equations.
\(y=-3x\\x^2+y^2=20\)
CorrectIncorrect - Question 15 of 55
15. Question
A person has $250 in a checking account and writes checks for $70, $85, $60, and $100. There is also a fee of $20. What is the balance of the account?
CorrectIncorrect - Question 16 of 55
16. Question
A small landscaping company mows lawns and has three 5.4–gallon gas cans. One day, the landscapers empty each of the gas cans three times. How many gallons of gas did they use?
CorrectIncorrect - Question 17 of 55
17. Question
A pair of jeans with tax costs $39.97, and a shirt with tax costs $18.49. What is the amount of change for a pair of jeans and two shirts if playing with a $100 bill?
CorrectIncorrect - Question 18 of 55
18. Question
Solve the equation by any method.
\({2x}^2-70=2\)
CorrectIncorrect - Question 19 of 55
19. Question
Solve the equation by completing the square.
\(x^2-2x-37=0\)
CorrectIncorrect - Question 20 of 55
20. Question
Solve the equation by factoring.
\(x^2-5x-50=0\)
CorrectIncorrect - Question 21 of 55
21. Question
Multiply.
\( \left( 5x-3 \right) \left( 5x+3 \right) \)
CorrectIncorrect - Question 22 of 55
22. Question
Perform the operation.
\(\left( -3x^{2}-2xy+4y^{2} \right) + \left( 5x^{2}+3xy-3y^{2} \right)\)
CorrectIncorrect - Question 23 of 55
23. Question
Apply the polynomial identity to rewrite \(x^2+20x+100\).
CorrectIncorrect - Question 24 of 55
24. Question
If 17 widgets failed but the other 1,273 worked properly, what is the failure rate of that widget?
CorrectIncorrect - Question 25 of 55
25. Question
Which is different from the others?
CorrectIncorrect - Question 26 of 55
26. Question
Simplify.
\( \left( \frac{x^{3}y^{-2}}{x^{-2}y^{3}} \right) ^{5}\)
CorrectIncorrect - Question 27 of 55
27. Question
One athlete had a salary of about 3 x 10⁷ dollars per year and another athlete had a salary of about 2 x 10⁶ dollars per year. How many times larger is the salary of the first athlete?
CorrectIncorrect - Question 28 of 55
28. Question
What is the intersection of two walls in a room?
CorrectIncorrect - Question 29 of 55
29. Question
What is the order of rotational symmetry for a parallelogram?
CorrectIncorrect - Question 30 of 55
30. Question
A regular hexagon has a side length of 5 inches and an apothem of 2 inches.
Find the area in square inches. (Note: A = ½ ap).
CorrectIncorrect - Question 31 of 55
31. Question
A wedge of cheese is in the shape of a right triangular prism. The area of the base is 30 square inches.
What is the height in inches of the cheese if the volume is 150 cubic inches?
CorrectIncorrect - Question 32 of 55
32. Question
A box in the shape of a right rectangular prism has dimensions of 6 centimeters by 7 centimeters by 8 centimeters. What is the volume in cubic centimeters?
CorrectIncorrect - Question 33 of 55
33. Question
A circle has an area of 12 square feet. Find the diameter to the nearest tenth of a foot. Use 3.14 for π.
CorrectIncorrect - Question 34 of 55
34. Question
Find the area in square centimeters of a circle with a diameter of 16 centimeters. Use 3.14 for π.
CorrectIncorrect - Question 35 of 55
35. Question
The area of a half circle is 48 square centimeters. Find the circumference of the curved portion of the half circle to the nearest tenth of a centimeter. Use 3.14 for π.
CorrectIncorrect - Question 36 of 55
36. Question
A rectangular pyramid has a length of 10 inches, a width of 11 inches, and a height of 12 inches. Find the volume in cubic inches.
CorrectIncorrect - Question 37 of 55
37. Question
A basketball has a diameter of 10 inches. What is the volume in cubic inches inside the ball? Use 3.14 for \( \pi \).
CorrectIncorrect - Question 38 of 55
38. Question
Find the median for the data set:
34, 31, 37, 35, 38, 33, 39, 32, 36, 35, 37, 33
CorrectIncorrect - Question 39 of 55
39. Question
Find the range for the data set:
34, 45, 27, 29, 36, 60, 52, 48, 41, 65, 44, 50, 64, 58, 47, 31
CorrectIncorrect - Question 40 of 55
40. Question
Find the mode for the data set:
42, 45, 44, 44, 45, 42, 45, 44, 45, 46, 42, 44, 41, 48, 47, 46, 45, 42, 42, 44
CorrectIncorrect - Question 41 of 55
41. Question
There is an election at a school where 5 candidates out of 10 will be elected. Which object and results are the most appropriate for a simulation?
CorrectIncorrect - Question 42 of 55
42. Question
A group is conducting a survey at a mall asking shoppers their opinion of the mall. What type of sampling is used?
CorrectIncorrect - Question 43 of 55
43. Question
A doctor wants to study the effects of a low–fat diet in patients. What would be needed to create an observational study?
CorrectIncorrect - Question 44 of 55
44. Question
If a letter is chosen at random from the word SUBSTITUTE, what is the probability that the letter chosen is “S” or “T”?
CorrectIncorrect - Question 45 of 55
45. Question
A spinner contains numbers 1–20. What is the probability of spinning a multiple of 3 or a multiple of 5?
CorrectIncorrect - Question 46 of 55
46. Question
The histogram below shows the amount a family spent on groceries during the year. Which statement is true for the histogram?
CorrectIncorrect - Question 47 of 55
47. Question
Which statement best describes a remainder in division?
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48. Question
Evaluate the expression. 15 x (-15)
CorrectIncorrect - Question 49 of 55
49. Question
Find the values from the box plot.
CorrectIncorrect - Question 50 of 55
50. Question
Solve the system of equations by graphing.
\(y=\frac{1}{3} x+2\\y=\frac{2}{3} x+5\)
CorrectIncorrect - Question 51 of 55
51. Question
Solve \(x^2=81\).
CorrectIncorrect - Question 52 of 55
52. Question
Solve the equation for the unknown.
\(a-10=-20\)
CorrectIncorrect - Question 53 of 55
53. Question
Select the right isosceles triangle with the correct lines of symmetry.
CorrectIncorrect - Question 54 of 55
54. Question
Which percent is closest to the ratio 7:3?
CorrectIncorrect - Question 55 of 55
55. Question
Solve the system of equations.
\(y=-4x-4\\y=-5x-4\)CorrectIncorrect
