Administration
|GHSGT Math Practice Test 1 |
| |
|Choose the correct choice Name : ___________________ |
|1. | |
|If GHIJ is a rhombus, and m[pic]GHI = 72°, what is the measure | |
|of [pic]1? | |
|[pic] | |
| | |
|[pic|[pic|72° |
|] |]A. | |
|[pic|[pic|90° |
|] |]B. | |
|[pic|[pic|36° |
|] |]C. | |
|[pic|[pic|54° |
|] |]D. | |
|2. |
|The _____________ is the point of concurrency of the medians in a triangle. |
| |
|[pic|[pic|orthocenter |
|] |]A. | |
|[pic|[pic|circumcenter |
|] |]B. | |
|[pic|[pic|incenter |
|] |]C. | |
|[pic|[pic|centroid |
|] |]D. | |
|3. |
|Quadrilateral ABCD has coordinates A(-3,7), B(1,4), C(-2,0), and D(-6,3). |
| |
|Quadrilateral EFGH has coordinates E(-2,-2), F(3,-2), G(3,-7), and H(-2,-7). |
| |
|Use coordinate geometry to determine if these two quadrilaterals are congruent. If they are not congruent, state the reason. |
| |
|[pic|[pic|The quadrilaterals are not congruent because corresponding sides are not congruent. |
|] |]A. | |
|[pic|[pic|The quadrilaterals are not congruent because corresponding angles are not congruent. |
|] |]B. | |
|[pic|[pic|The quadrilaterals are similar but they are not congruent. |
|] |]C. | |
|[pic|[pic|The quadrilaterals are congruent. |
|] |]D. | |
|4. |
|What is the distance between the points (-3, 2) and (6, 14)? |
| |
|[pic|[pic|19 |
|] |]A. | |
|[pic|[pic|21 |
|] |]B. | |
|[pic|[pic|15 |
|] |]C. | |
|[pic|[pic|3 |
|] |]D. | |
|5. |
|To aid in her understanding of the math problem, Jessica is graphing the equations y = x2 and y = x2 + 4. How does adding the number |
|4 to x2 change the graph of y = x2? |
| |
|[pic] |[pic]A.|The graph of x2 is shifted 4 units downward. |
|[pic] |[pic]B.|The graph of x2 is shifted 4 units upward. |
|[pic] |[pic]C.|The graph of x2 is shifted 4 units to the right. |
|[pic] |[pic]D.|The graph of x2 is shifted 4 units to the left. |
|6. |
|Ms. Watkins is requiring her students to read five different books this semester. In how many different orders can the 5 books |
|be read? |
| |
|[pic|[pic|25 |
|] |]A. | |
|[pic|[pic|120 |
|] |]B. | |
|[pic|[pic|20 |
|] |]C. | |
|[pic|[pic|5 |
|] |]D. | |
|7. |
|A computer password consists of 4 characters. The characters can be one of the 26 letters of the alphabet. Each character may be used|
|more than once. How many different passwords are possible? |
| |
|[pic|[pic|358,800 |
|] |]A. | |
|[pic|[pic|456,976 |
|] |]B. | |
|[pic|[pic|406,250 |
|] |]C. | |
|[pic|[pic|104 |
|] |]D. | |
|8. |
|Simplify the following expression. |
|(6x2 + 8x − 2) (7x2 − 4x + 16) |
| |
|[pic|[pic|42x4 + 32x3 + 50x2 − 136x + 32 |
|] |]A. | |
|[pic|[pic|42x4 + 32x3 + 50x2 + 136x − 32 |
|] |]B. | |
|[pic|[pic|42x4 + 32x3 + 50x2 + 136x + 32 |
|] |]C. | |
|[pic|[pic|42x4 + 32x3 + 50x2 − 136x − 32 |
|] |]D. | |
|9. |
|A new allergy medicine is being analyzed. One study investigated the relationship between time on the medicine, x, and weight gain, |
|y. After analyzing the results, researchers determined the correlation coefficient to be 0.3. |
| |
|Interpret the correlation coefficient by choosing the statement below which correctly describes the correlation between x and y. |
| |
|[pic|[pic|weak positive correlation |
|] |]A. | |
|[pic|[pic|weak negative correlation |
|] |]B. | |
|[pic|[pic|strong negative correlation |
|] |]C. | |
|[pic|[pic|strong positive correlation |
|] |]D. | |
|10. |
|[pic] |
|The distance is measured in units. |
|Find the distance between points M and O. |
| |
|[pic|[pic|12 [pic]2 units |
|] |]A. | |
|[pic|[pic|13 units |
|] |]B. | |
|[pic|[pic|12 units |
|] |]C. | |
|[pic|[pic|13 [pic]2 units |
|] |]D. | |
|11. |
|The measure of [pic]PQR is 60°. The length of radius QR is 8 inches. What is the area of sector PQR? (Use 3.14 for [pic].) |
|[pic] |
|Note: Picture not drawn to scale. |
| |
|[pic|[pic|67.02 in2 |
|] |]A. | |
|[pic|[pic|8.38 in2 |
|] |]B. | |
|[pic|[pic|4.19 in2 |
|] |]C. | |
|[pic|[pic|33.49 in2 |
|] |]D. | |
|12. |
|A survey is given to a group of people who are leaving a rock concert to find out their favorite musical genre. Which of the |
|following could affect the outcome of the survey? |
| |
|[pic|[pic|The survey is biased because it was administered in person instead of over the phone. |
|] |]A. | |
|[pic|[pic|The survey is only focused on the needed response questions. |
|] |]B. | |
|[pic|[pic|The survey is biased because it is only administered to people leaving a rock concert. |
|] |]C. | |
|[pic|[pic|The survey is flawed because too many people took the survey. |
|] |]D. | |
|13. |
|Which of the following is equivalent to [pic]? |
| |
|[pic|[pic|[pic] |
|] |]A. | |
|[pic|[pic|[pic] |
|] |]B. | |
|[pic|[pic|[pic] |
|] |]C. | |
|[pic|[pic|[pic] |
|] |]D. | |
|14. |
|Write the equation of the circle given the graph below. |
|[pic] |
| |
|[pic|[pic|(x - 6)2 + (y - 5)2 = 42 |
|] |]A. | |
|[pic|[pic|(x + 6)2 + (y + 5)2 = 42 |
|] |]B. | |
|[pic|[pic|(x - 6)2 + (y + 5)2 = 42 |
|] |]C. | |
|[pic|[pic|(x + 6)2 + (y - 5)2 = 42 |
|] |]D. | |
|15. |
|In a group of 620 people who attended a youth conference, 465 are teenagers and 279 are females. Exactly two-thirds of the attendees |
|who were teenagers are males. If a person is randomly selected, what is the probability that the person is a teenager or a male? |
| |
|[pic|[pic|[pic] |
|] |]A. | |
|[pic|[pic|[pic] |
|] |]B. | |
|[pic|[pic|[pic] |
|] |]C. | |
|[pic|[pic|[pic] |
|] |]D. | |
|16. |
|Find the domain of the function below. |
|f(x) = -x2 + 9x - 9 |
| |
|[pic|[pic|33.49 in2 |
|] |]A. | |
|[pic|[pic|{all real numbers < 9} |
|] |]B. | |
|[pic|[pic|{all real numbers} |
|] |]C. | |
|[pic|[pic|{all real numbers between 0 and 9} |
|] |]D. | |
| | | |
|17. |
|Factor the following polynomial. |
|x2 - 64 |
| |
|[pic] |[pic]A. |(x - 8)(x - 8) |
|[pic] |[pic]B. |(x - 8)(x + 8) |
|[pic] |[pic]C. |(x + 8)(x + 8) |
|[pic] |[pic]D. |(x - 64)(x + 1) |
|18. |
|Graph the following absolute value function. |
|y |
| = |
|-2 |
|[pic] |
|x - 3 |
|[pic] |
|+ 2 |
| |
| |
|[pic] |
|W. |
|[pic] |
|X. |
| |
|[pic] |
|Y. |
|[pic] |
|Z. |
| |
| |
| |
|[pic|[pic|W |
|] |]A. | |
|[pic|[pic|X |
|] |]B. | |
|[pic|[pic|Y |
|] |]C. | |
|[pic|[pic|Z |
|] |]D. | |
|19. |
|The graph below shows a line of best fit for data collected on the cost of hardwood flooring, from different vendors, as a function |
|of area. |
|[pic] |
|What is the equation of the line of best fit? |
| |
|[pic|[pic|[pic] |
|] |]A. | |
|[pic|[pic|[pic] |
|] |]B. | |
|[pic|[pic|[pic] |
|] |]C. | |
|[pic|[pic|[pic] |
|] |]D. | |
|20. |
|[pic] |
|Given: |
| |
|DEGF is a parallelogram and EF is a diagonal of DEGF. |
| |
| |
| |
| |
| |
|Prove: |
| |
|[pic]D [pic][pic]G |
| |
| |
| |
| |
| |
|Proof: |
| |
| |
| |
| |
|Statements |
|Reasons |
| |
|1. DEGF is a parallelogram. |
|1. Given |
| |
|2. DE [pic]FG and DF [pic]EG |
|2. Definition of a Parallelogram |
| |
|3. EF [pic]EF |
|3. Reflexive Property |
| |
|4. [pic]DEF [pic][pic]GFE and |
| [pic]DFE [pic][pic]GEF |
|4. Alternate interior angles are congruent. |
| |
|5. [pic]DFE [pic][pic]GEF |
|5. |
| |
|6. [pic]D [pic][pic]G |
|6. CPCTC |
| |
|Which reason completes the proof? |
| |
|[pic] |[pic]A. |AAA |
|[pic] |[pic]B. |SAS |
|[pic] |[pic]C. |AA |
|[pic] |[pic]D. |ASA |
|21. |
|Which theorem of congruence should be used to prove |
|[pic]EFG [pic][pic]MLK? |
|[pic] |
| |
|[pic] |[pic]A. |Angle-Angle-Side (AAS) |
|[pic] |[pic]B. |Side-Angle-Side (SAS) |
|[pic] |[pic]C. |Angle-Side-Angle (ASA) |
|[pic] |[pic]D. |Side-Side-Side (SSS) |
|22. |
|A restaurant has 10 chicken dishes on the menu. It has 7 chicken dishes with pasta, and 15 pasta dishes. What is the probability |
|that a dish has pasta given that it is chicken? |
| |
|[pic] |[pic]A. |[pic] |
|[pic] |[pic]B. |[pic] |
|[pic] |[pic]C. |[pic] |
|[pic] |[pic]D. |[pic] |
|23. |
|The conditional statement "all 12° angles are acute angles" is true. Based on the conditional statement, which of the following |
|can be concluded from the additional statement "the measure of [pic]A is 12°"? |
| |
|[pic|[pic|[pic]A is an acute angle. |
|] |]A. | |
|[pic|[pic|The complement of [pic]A is an acute angle. |
|] |]B. | |
|[pic|[pic|The supplement of [pic]A is not an acute angle. |
|] |]C. | |
|[pic|[pic|[pic]A is not an acute angle. |
|] |]D. | |
|24. |
|If m[pic]QSR is 36°, what is the measure of arc QR? |
|[pic] |
| |
|[pic|[pic|18° |
|] |]A. | |
|[pic|[pic|72° |
|] |]B. | |
|[pic|[pic|288° |
|] |]C. | |
|[pic|[pic|36° |
|] |]D. | |
| | | |
|25. |
|Simplify: |
|2 |
| |
|[pic] |
| |
|x |
| |
| |
|+ 3 |
| |
| |
| |
|[pic] |
| |
|5 |
| |
|[pic] |
| |
|x |
| |
| |
|- 4 |
| |
| |
| |
| |
| |
| |
| |
|[pic] |[pic]A. |2 + 3x |
| | | |
| | |[pic] |
| | | |
| | |5 - 4x |
| | | |
|[pic] |[pic]B. |-1 |
| | | |
| | |[pic] |
| | | |
| | |1 |
| | | |
|[pic] |[pic]C. |2 - 3x |
| | | |
| | |[pic] |
| | | |
| | |5 + 4x |
| | | |
|[pic] |[pic]D. |5 |
| | | |
| | |[pic] |
| | | |
| | |9 |
| | | |
| | | |
|26. |
|Find the solution(s) of the equation below. |
|x2 + 4x = 60 |
| |
|[pic|[pic|x = -6; x = 10 |
|] |]A. | |
|[pic|[pic|x = -6; x = -10 |
|] |]B. | |
|[pic|[pic|x = 6; x = -10 |
|] |]C. | |
|[pic|[pic|x = 6; x = 10 |
|] |]D. | |
|27. |
|Solve the following inequality. |
||x - 3| < 8 |
| |
|[pic|[pic|-11 < x < 11 |
|] |]A. | |
|[pic|[pic|-5 < x < 11 |
|] |]B. | |
|[pic|[pic|5 < x < 11 |
|] |]C. | |
|[pic|[pic|-5 < x < 5 |
|] |]D. | |
|28. |
|Mr. Robertson was looking at the test grades of two of his students, shown in the table below. |
| |
|Test 1 |
|Test 2 |
|Test 3 |
|Test 4 |
| |
|Jimmy |
|86 |
|94 |
|93 |
|91 |
| |
|Brian |
|77 |
|81 |
|69 |
|69 |
| |
|Which statement below best describes the students' grades? |
| |
|[pic|[pic|Jimmy's median test score is less than Brian's median test score by 16 points. |
|] |]A. | |
|[pic|[pic|Jimmy's mean test score is less than Brian's mean test score by 17 points. |
|] |]B. | |
|[pic|[pic|Jimmy's mean test score is greater than Brian's mean test score by 17 points. |
|] |]C. | |
|[pic|[pic|Jimmy's median test score is greater than Brian's median test score by 18 points. |
|] |]D. | |
|29. |
|Solve: [pic] |
| |
|[pic|[pic|8 |
|] |]A. | |
|[pic|[pic|-12 |
|] |]B. | |
|[pic|[pic|no solution |
|] |]C. | |
|[pic|[pic|2 |
|] |]D. | |
|30. |
|[pic] |
|[pic] |
|[pic] |
| |
|[pic] |
| |
|[pic] |
| |
| |
| |
|[pic] |
| |
|[pic|[pic|[pic] |
|] |]A. | |
|[pic|[pic|[pic] |
|] |]B. | |
|[pic|[pic|[pic] |
|] |]C. | |
|[pic|[pic|[pic] |
|] |]D. | |
Answers For GHSGT Practice Test 1
|1. |D 54° |
|2. |D centroid |
|3. |D The quadrilaterals are congruent. |
|4. |C 15 |
|5. |B The graph of x2 is shifted 4 units upward. |
|6. |B 120 |
|7. |B 456,976 |
|8. |B 42x4 + 32x3 + 50x2 + 136x − 32 |
|9. |A weak positive correlation |
|10. |B 13 units |
|11. |D 33.49 in2 |
|12. |C The survey is biased because it is only administered to people leaving a rock concert. |
|13. |A [pic] |
|14. |C (x - 6)2 + (y + 5)2 = 42 |
|15. |A [pic] |
|16. |C {all real numbers} |
|17. |B (x - 8)(x + 8) |
|18. |A W |
|19. |A [pic] |
|20. |D ASA |
|21. |C Angle-Side-Angle (ASA) |
|22. |A [pic] |
|23. |A [pic]A is an acute angle. |
|24. |B 72° |
|25. |A |
| |2 + 3x |
| | |
| |[pic] |
| | |
| |5 - 4x |
| | |
|26. |C x = 6; x = -10 |
|27. |B -5 < x < 11 |
|28. |C Jimmy's mean test score is greater than Brian's mean test score by 17 points. |
|29. |A 8 |
|30. |B [pic] |
| |
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