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O G T MATH MARCH 2006 . Click HERE to go to the next page. The questions on this test are the property of the Ohio Department of Education and are used with its permission. The solutions are a result of a collaboration of the Fitch High School Math Department

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## O G T MATH MARCH 2006

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**O G T**MATH MARCH 2006 Click HERE to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**The questions on this test are the property of the Ohio**Department of Education and are used with its permission. The solutions are a result of a collaboration of the Fitch High School Math Department All explanations of solutions and the format of this program are the property of Tom Reardon. C 2006 Reardon Electronic Gifts, Inc. Your comments and suggestions would be appreciated. E-mail: aust_tr@access-k12.org Web: www.TomReardon.com Click here to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**This program is designed to assist students to prepare to**successfully pass the mathematics section of the Ohio Graduation Test. THIS IS A HIGH SCHOOL GRADUATION REQUIREMENT! Paper and pencil is required to take this test. Only OGT CALCULATORS are allowed. Click HERE to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**DIRECTIONS**• At the top of your paper, make two columns: • CORRECT INCORRECT • Number the problems on your paper and show some work for each problem. Then choose the answer that best matches yours. • CLICK on the LETTER of the answer that you want • If you get the correct answer, then place a mark in the CORRECT column. Then proceed to the next problem. Click HERE to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**DIRECTIONS**• If the response that you select is incorrect, you will be told why it is incorrect and/or you will be given a hint to how to successfully answer the question. Then make a mark under the word INCORRECT at the top of your paper. • Notice that you are keeping track of your score. • This is to be a learning experience so try your best to learn from your mistakes… and to learn from what you know! • Keep in mind that these are ACTUAL OGT TEST questions!! • Good Luck! Click HERE to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**For additional help, I**suggest that you consider the book to the right. It can be purchased at most Barnes and Nobles or online at www.amazon.com ISBN 0-7641-2369-6 Click HERE to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**If this is your FIRST TIME doing this set of problems, then**• click HERE to start with number 21. • If you have done some of these already, then click on the number of the problem that you wish to start with below: • To start with problem 24, CLICK HERE. • To start with problem 28, CLICK HERE • To start with problem 32, CLICK HERE • To start with problem36, CLICK HERE. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**21.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**All work must be shown on your paper.**Try to learn from what you get right and from what you get wrong. Click HERE to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**22.**This problem is worth 2 points. Do your work on your paper. Then compare it to our solution. Click HERE to go to the solution OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**Are you …**TAKING YOUR TIME? Careless errors are costly! Click HERE to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**23.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**In order for this program to work,**you MUST read each solution and explanation. Click HERE to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**24.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**25.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**26.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**CAUTION!**The wrong answers can look VERY good. The makers of these tests know all the “common mistakes” that students make and put those wrong answers in the test. BE CAREFUL!!!! Click HERE to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**27.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**28.**This problem is worth 2 points. Do your work on your paper, then check our solution. Click HERE to go to the solution OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**29.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**30.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**31.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**32.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**CAUTION!**The wrong answers can look VERY good. The makers of these tests know all the “common mistakes” that students make and put those wrong answers in the test. BE CAREFUL!!!! Click HERE to go to the next page OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**33.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**34.**This problem is worth 4 points. You must show all work and provide explanations for your answers in order to receive full credit. Do this problem on your paper, then… Click HERE to go to the solution OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**35.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**36.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**37.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**38.**A. Most brides were 27 years old. B. The youngest groom was 28.9 years old. C. Half of the grooms were 28.9 years old or older. D. All the grooms were older than the brides were. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**39.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**40.**A. B. C. D. OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**21 A.**Sorry, no. The horizontal axis represents the number of push-ups while the vertical axis represents the number of sit-ups. HINT: find the y-coordinate (vertical) when the x-coordinate (horizontal) is 35. Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**21 B.**Sorry, no. The horizontal axis represents the number of push-ups while the vertical axis represents the number of sit-ups. HINT: find the y-coordinate (vertical) when the x-coordinate (horizontal) is 35. Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**21 C.**Yes, great. The horizontal axis represents the number of push-ups while the vertical axis represents the number of sit-ups. You found the y-coordinate (vertical) to be 45 when the x-coordinate (horizontal) is 35. Click HERE to go to the NEXT problem Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**21 D.**Sorry, no. The horizontal axis represents the number of push-ups while the vertical axis represents the number of sit-ups. HINT: find the y-coordinate (vertical) when the x-coordinate (horizontal) is 35. Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**22.Make sure that you:copy and complete the table:**This problem is worth 2 points. 200 Since the relationship is told to be linear, we can use the slope y-intercept equation to find the equation of the line that contains these points. Let x1 = 10, y1 = 210, x2 = 15, y2 = 205 195 190 185 180 175 170 Click HERE to go to the NEXT problem Click HERE to return to THIS problem x is age; y is heart rate OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**22 B.**Click HERE to go to the NEXT problem Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**22 C.**Click HERE to go to the NEXT problem Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**22 D.**Click HERE to go to the NEXT problem Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**23 A. (3, 0)**This is incorrect. This is not a trapezoid. A trapezoid has exactly two sides parallel. This has no sides parallel. (3, 0) Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**23 B. (3, – 2)**This is incorrect. This is not a trapezoid. A trapezoid has exactly two sides parallel. This has no sides parallel. (3, – 2) Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**23 C. (– 5, 0)**This is incorrect. This is not a trapezoid. A trapezoid has exactly two sides parallel. This has no sides parallel. (– 5, 0) Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**23 D. (7, – 1)**Correct! Yes, this is a trapezoid because two of the sides are parallel. The parallel sides are horizontal. (7, – 1) Click HERE to go to the NEXT problem Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**24 A. Oops!**Volume = B x H, the area of the Base times the Height. It looks like you found the area of one of the squares, 16, and multiplied that by 10 squares, to get 160. HINT: the area of the Base is 12 x 8 or 96. Finish this. Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**24 B. Oops!**Volume = B x H, the area of the Base times the Height. It looks like you found the area of the Base correctly, which is 12 x 8 = 96, but then multiplied it by 2, which is not the Height. . HINT: the Height is 4. Finish this. Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**24 C. Oops!**Volume = B x H, the area of the Base times the Height. It looks like you found the area of one of the squares, 16, and then squared that, to get 256. HINT: the area of the Base is 12 x 8 or 96. The Height is 4. Finish this. Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**24 D. Hurray!**Volume = B x H, the area of the Base times the Height. The area of the Base is 12 x 8 or 96. The Height is 4. 96 x 4 = 384. Click HERE to go to the NEXT problem Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**25 A. This isn’t right.**Let’s call the books: A, B, C, D. Also notice that a pair of books like A&B is the same combination as B&A, so don’t count it twice. Start listing all possibilities, then count them: A&B A&C And so on… Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.**25 B. This isn’t right.**Let’s call the books: A, B, C, D. Also notice that a pair of books like A&B is the same combination as B&A, so don’t count it twice. Start listing all possibilities, then count them: A&B A&C And so on… Click HERE to return to THIS problem OGT Math Spring 2006 www.TomReardon.com C 2006 Reardon Gifts, Inc.

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