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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 9 th GRADE MATH PROFICIENCY TEST Arithmetic Strand 20 actual problems Click HERE to go to the next page

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems The questions on this test are the property of the Ohio Department of Education and are used with its permission. All explanations of solutions and the format of this program are the property of Tom Reardon. C 2002 Reardon Electronic Gifts, Inc. Your comments and suggestions would be appreciated. Web: Click here to go to the next page

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems This program is designed to assist students to prepare to successfully pass the mathematics section of the 9 th grade proficiency test in the state of Ohio. THIS IS A HIGH SCHOOL GRADUATION REQUIREMENT! Paper and pencil is required to take this test. NO CALCULATORS are allowed. These problems practice the ARITHMETIC STRAND ONLY!!!! Click HERE to go to the next page

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 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

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 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 PROFICIENCY TEST questions!! ARITHMETIC STRAND ONLY!! Good Luck! Click HERE to go to the next page

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 12 of the 40 problems on the proficiency test are from the ARITHMETIC STRAND. You want to get as many as you can correct from each strand, but your goal should be to get at least 8 of the 12 correct. Click HERE to go to the next page

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems If this is your FIRST TIME doing this set of problems, then click HERE to start with number 1. 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 4, CLICK HERE. To start with problem 8, CLICK HERE To start with problem 12, CLICK HERE To start with problem16, CLICK HERE.

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 1. A.A. 29% B.B. 34% C.C. 40% D. D. 119% The last time the newspaper carried an article about Jackson Village, it reported the size of the town as 85 square miles. Since then, the town has added 34 square miles. What should the current issue of the newspaper report as the percent growth of Jackson Village?

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 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

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 2. A.A. $3.93 B.B. $4.70 C.C. $5.78 D.D. $7.20 A school paid a total of $98.50 for 5 aluminum baseball bats and a total of $75.00 for 6 wooden bats. How much more did each aluminum bat cost than each wooden bat?

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems Are you … TAKING YOUR TIME? Careless errors are costly! Click HERE to go to the next page

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 3. A.A. 16 B.B. 49 C.C. 112 D.D. 196 One hot day a vendor sold 28 ice cream cones and her entire stock of iced drinks. If the ratio of drinks sold to ice cream cones is 7 to 4, how many iced drinks did the vendor sell?

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems In order for this program to work, you MUST read each solution and explanation. Click HERE to go to the next page

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 4. Ed earned $6,009 last year in his part-time job and was given a bonus of $183. How much was his total income from that job last year? Round your answer to the nearest hundred. A.A. $6,000 B.B. $6,100 C.C. $6,190 D.D. $6,200

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 5. A.A. multiplication, addition B.B. multiplication, subtraction C.C. subtraction, division D.D. addition, subtraction Alex has $75. He wants to buy a shirt that costs $18 and a pair of slacks that costs $28, including tax. Which pair of operations could Alex use to determine how much money he should have left after purchasing the clothes?

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 6. A manufacturer rejects 4% of the items it makes because of defects. If the manufacturer has 275 items before inspection, how many good items will remain after inspection? A.A. 110 B.B. 165 C.C. 264 D.D. 271

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 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

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 7. A. B. C. D. Add the fractions: ***Click on the LETTER of the correct answer!! (important)

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 8. A. B. C. D. Select the correct ordering of the following values from smallest to largest: ***Click on the LETTER of the correct answer!! (important)

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 9. A.A. 2.35, 1.25, 0.45, 0.9 B.B. 0.45, 1.25, 2.35, 0.9 C.C. 2.35, 1.25, 0.9, 0.45 D.D. 0.45, 0.9, 1.25, 2.35 Joan adds 0.9 ounces of red paint, 0.45 ounces of green paint, 1.25 ounces of brown paint, and 2.35 ounces of yellow paint to some white paint. Which of the following shows the order of ounces of paint added from largest to smallest?

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 10. The groundskeeper at Midtown High School wants the ratio of azalea bushes to rose bushes in front of the building to be 3 to 1. If a total 24 bushes are to be planted, how many of them will be rose bushes? A.A. 3 B.B. 4 C.C. 6 D.D. 8

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 11. A.A. $1.50 B.B. $1.54 C.C. $1.55 D.D. $1.60 A dozen roses costs $ To the nearest cent, how much does one rose cost?

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 12. A.A. $0.86 B.B. $1.16 C.C. $1.17 D.D. $1.20 Mary paid $7 to put 6 gallons of gas in her car. What was the cost of gas per gallon to the nearest cent?

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 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

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 13. Arrange the following numbers from smallest to largest: A. B. C. D.

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 14. Melinda would like to purchase a stereo that costs $320. If she saves $35 from her paycheck every two weeks, in how many weeks will Melinda have saved enough to purchase the stereo? A.A. 9 weeks B.B. 10 weeks C.C. 18 weeks D.D. 20 weeks

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 15. Which of the following is a correct statement? A.A. – 0.45 < – 0.52 B.B. – 0.52 > 0.45 C.C > – 0.52 D.D < – 0.52

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 16. In Roberts class, of the students like to play sports, of the students like to watch television, and of the students like to listen to music. Robert wanted to list these interests of his classmates from the greatest number of students to the least. Which list should he make? A.A. Playing sports, watching television, listening to music B.B. Watching television, listening to music, playing sports C.C. Listening to music, watching television, playing sports D.D. Playing sports, listening to music, watching television

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 17. A store sells a stove for $ Customers who pay cash receive a 15% discount. What is the cost of the stove with the discount? A.A. $47.25 B.B. $ C.C. $ D.D. $313.50

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 18. Andrea and Kelly are standing in the schoolyard. Andrea is 5 feet tall and her shadow is 12 feet long. Kellys shadow is 13 feet long. Which of the following could be the proportion used to find Kellys height (h)? A.A. B.B. C.D.

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 19. What number completes the proportion below? A.A. 8 B.B. 29 C.C. 45 D.D. 50

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 20. What is 30% of 30? A.A. 3 B.B. 6 C.C. 9 D.D. 10

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 1 A. Click HERE to return to THIS problem It looks like you added 34 to 85 and got 119. Then you divided 34 by 119 and got about.286 or 29%. Sorry but this is incorrect. You dont add or subtract in this problem. To find percentage growth you do divide. But you must divide the increase in population by the population before it increased. (Hint, hint) Please try again. I have confidence that you will get it right this time around.

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 1 B. It looks like you saw that the town increased by 34 miles so you chose 34%. Sorry that is not correct. This is a very easy and quick way to get the wrong answer. If the town was 100 square miles and it increased by 34, then the answer would be 34%, because % does mean per 100. So should the correct answer be greater or less than 34%? Hmmm… Please try again. HINT: think division. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 1 C. To find the % increase, you must compare the number of square miles that the town increased to the number of miles it was before the increase. That is, 34 divided by 85. It turns out to be.4 which is 40% Another way to check is to multiply.4 by 85 and you should get x 85 does = 34. Good job, by the way. Click HERE to go to the NEXT problem Click HERE to return to THIS problem HURRAY!!!

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 1 D. It looks like you just added 34 to 85. That is = 119. But 34 and 85 are not percents. They tricked you with this answer, didnt they? Those test-makers are so tricky some times. One hint: you do need to divide to get the percent. Please try again. You can do it. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 2 A. You first need to find out how much each type of bat costs. A. Since the school paid $98.50 for 5 aluminum bats, divide 98.5 by 5 to see what ONE aluminum bat costs. B. Do a similar computation to find the cost of ONE wooden bat. Then to find how much more one bat costs than the other, subtract the two answers in parts A and B. Please try that and see if you can get the correct answer this time. I am pulling for you. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 2 B. You first need to find out how much each type of bat costs. A. Since the school paid $98.50 for 5 aluminum bats, divide 98.5 by 5 to see what ONE aluminum bat costs. B. Do a similar computation to find the cost of ONE wooden bat. Then to find how much more one bat costs than the other, subtract the two answers in parts A and B. Please try that and see if you can get the correct answer this time. I am pulling for you. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 2 C. You first need to find out how much each type of bat costs. A. Since the school paid $98.50 for 5 aluminum bats, divide 98.5 by 5 to see what ONE aluminum bat costs. B. Do a similar computation to find the cost of ONE wooden bat. Then to find how much more one bat costs than the other, subtract the two answers in parts A and B. Please try that and see if you can get the correct answer this time. I am pulling for you. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 2 D. You first need to find out how much each type of bat costs. A. Since the school paid $98.50 for 5 aluminum bats, divide 98.5 by 5 to see what ONE aluminum bat costs / 5 = $19.70 B. Do a similar computation to find the cost of ONE wooden bat / 6 = $12.50 Then to find how much more one bat costs than the other, subtract the two answers in parts A and B. $ $12.50 = $7.20 Click HERE to go to the NEXT problem Click HERE to return to THIS problem GREAT JOB!!!!

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 3 A. This is probably the most popular WRONG answer unfortunately for you. is the proper proportion. I think that you substituted 28 in place of the drinks by mistake. 28 should go in place of cones. Substitute correctly, cross multiply and I think you are there! Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 3 B. is the proper proportion. It looks like you substituted the numbers correctly. Cross multiply: 4 * drinks = 7 * 28 Divide each side by 4 Number of drinks is 49. Nice work. Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 3 C. It looks like you multiplied 4 * 28 and got 112. Unfortunately I cant see any reason to do this. They put this answer to try to catch you, didnt they? is the proper proportion. Substitute correctly (28 for cones), cross multiply and I think you are there! Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 3 D. It looks like you multiplied 7 * 28 and got 196. Unfortunately I cant see any reason to do this. They put this answer to try to catch you, didnt they? is the proper proportion. Substitute correctly (28 for cones), cross multiply and I think you are there! Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems It looks like you may have rounded to the nearest thousand instead of the nearest HUNDRED = 6192 The 1 is the hundreds digit. Try it again. I think you will do fine. Click HERE to return to THIS problem 4 A.

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 4 B = 6192 The 1 is the hundreds digit You have to decide if 6192 is closer to 6100 or the next one, Please give this another try. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 4 C = 6192 It looks like you rounded to the nearest ten instead of the nearest HUNDRED. The 1 is the hundreds digit. I think you will get it this time. Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 4 D = 6192 The 1 is the hundreds digit (or place) is only 8 away from 6200 and 92 away from Much closer to Good job. Click HERE to go to the NEXT problem Click HERE to return to THIS problem Terrific!!

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 5 A. There is no reason to multiply here. I suggest adding the 18 and 28, and then subtracting from the 75 to see how much money is left over. Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 5 B. There is no reason to multiply here. I suggest adding the 18 and 28, and then subtracting from the 75 to see how much money is left over. Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 5 C. There is no reason to divide here. I suggest adding the 18 and 28, and then subtracting from the 75 to see how much money is left over. Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 5 D = 46 (what was spent) 75 – 48 = 27 (what is left over) Nice work. Click HERE to go to the NEXT problem Click HERE to return to THIS problem YOU GOT IT!!

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 6 A. 4% means 4 out of 100 or X.04 = is the answer listed in A Unfortunately that is not the answer, that is how many defective items there were. Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 6 B. 4% means 4 out of 100, or.04 I think that you used.4 instead of.04 Try multiplying.04 X 275 and subtracting that answer from 275. Now you should be on the right track. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 6 C. 4% means 4 out of 100, or X.04 = 11 there were 11 defective items 275 – 11 = 264 items that remained (not defective) Nice job. Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 6 D. 4% means 4 out of 100, or.04 It looks like you just subtracted the 4 from the 275 to get 271, which is incorrect. You need to multiply.04 X 275 and subtract that answer from 275. Go ahead – youre on the right track. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 7 A. It looks like you multiplied the fractions instead of adding them. Not right! But we were supposed to ADD them, not multiply. HINT: you do need a common denominator to add. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 7 B. It looks like you made up your own rules! It appears that you multiplied the numerators and added the denominators. Sorry, no such rule! HINT: you do need a common denominator of 12 to add these. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 7 C. It looks like you added straight across. There is no such rule = = 10 2/10 = 1/5 But this is wrong! HINT: you do need a common denominator in order to add these. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 7 D. You do need a common denominator of 12 in order to add these fractions: Nice work! Click HERE to go to the NEXT problem Click HERE to return to THIS problem Well, all right!!!

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 8 A. First rewrite all numbers in the same format I will rewrite them in decimal form. HINT: 2.5 is larger than either.25 or.4 Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 8 B. First rewrite all numbers in the same format I will rewrite them in decimal form. HINT: 2.5 is larger than either.25 or.4 Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 8 C. First rewrite all numbers in the same format I will rewrite them in decimal form. HINT: 2.5 is larger than either.25 or.4 Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 8 D. First rewrite each as a decimal:.25 is the smallest, then.4, then 2.5 is the largest. Excellent work! Click HERE to go to the NEXT problem Click HERE to return to THIS problem Super job!

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 9 A. 0.9 is 9 tenths which is the same as 0.90 or 90 hundredths 0.45 is only 45 hundredths When comparing decimals, it is a good idea to write them with the same number of digits to the right of the decimal point You can add zeros to the right of the last number that is after the decimal point Go ahead and try this one again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 9 B. 0.9 is 9 tenths which is the same as 0.90 or 90 hundredths 0.45 is only 45 hundredths When comparing decimals, it is a good idea to write them with the same number of digits to the right of the decimal point You can add zeros to the right of the last number that is after the decimal point Go ahead and try this one again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 9 C. 0.9 is 9 tenths which is the same as 0.90 or 90 hundredths 0.45 is only 45 hundredths When comparing decimals, it is a good idea to write them with the same number of digits to the right of the decimal point You can add zeros to the right of the last number that is after the decimal point Good thinking. Click HERE to go to the NEXT problem Click HERE to return to THIS problem Great job!!!

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 9 D. 0.9 is 9 tenths which is the same as 0.90 or 90 hundredths 0.45 is only 45 hundredths When comparing decimals, it is a good idea to write them with the same number of digits to the right of the decimal point You can add zeros to the right of the last number that is after the decimal point Go ahead and try this one again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 10 A. Since you chose 3 rose bushes that means that the rest of the bushes are azaleas, 24 – 3 = 21 (roses). Then the ratio of Azaleas to Roses is 21:3, which reduces to which is a lot bigger than 3 to 1. HINT: # of bushes: 3+1 = 4; 6+2 = 8; 9+3 = 12 ?+??= 24? Please give this one another try, OK? Click HERE to return to THIS problem The ratio of Azaleas to Roses = 3:1, or

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 10 B. Since you chose 4 rose bushes that means that the rest of the bushes are azaleas, 24 – 4 = 20 (roses). Then the ratio of Azaleas to Roses is 20:4, which reduces to which is a lot bigger than 3 to 1. HINT: # of bushes: 3+1 = 4; 6+2 = 8; 9+3 = 12 ?+??= 24? Please give this one another try, OK? Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 10 C. The ratio of Azaleas to Roses = 3:1, or You got it!! So 18 azalea bushes and 6 rose bushes. The ratio is 18 to 6 which reduces to 3 to 1. And = 24 total bushes. GREAT JOB! Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 10 D. The ratio of Azaleas to Roses = 3:1, or A lot of students would divide: 24/3 = 8 and think that 8 is the answer (like you just did). Unfortunately that is incorrect because if 8 are roses, then 24 – 8 = 16 are azaleas. The ratio of 16 to 8 is only 2:1, not 3:1. HINT: # of bushes: 3+1 = 4; 6+2 = 8; 9+3 = 12 ?+??=24? Please give this another try, OK? Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 11 A. You selected $1.50 for each rose. 12 X $1.50 = $18.00, which is less than $18.56 HINT: To undo multiplication, we divide: We need to find out: 12 X ? = $18.56 Click HERE to return to THIS problem A dozen of something is 12 of those things. We need to find out: 12 X ? = $18.56

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 11 B. You selected $1.54 for each rose. 12 X $1.54 = $18.48, which is less than $18.56 by 8 cents. HINT: To undo multiplication, we divide: We need to find out: 12 X ? = $18.56 Click HERE to return to THIS problem A dozen of something is 12 of those things. We need to find out: 12 X ? = $18.56

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 11 C. OUTSTANDING JOB!!! To find the cost of each rose: Divide by 12. Actually you have to divide: by 12. It does not divide evenly. You will get an answer of $1.546 rounds up to $1.55 to the nearest penny because of the 6 after the 4. Click HERE to go to the NEXT problem Click HERE to return to THIS problem A dozen of something is 12 of those things. We need to find out: 12 X ? = $18.56

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 11 D. You selected $1.60 for each rose. 12 X $1.60 = $19.20, which is very much higher than $ HINT: To find the cost of each rose: Divide by 12. Actually you have to divide: by 12. It does not divide evenly. You will have to round the answer to the nearest penny (hundredth of a dollar). Please try again. Click HERE to return to THIS problem A dozen of something is 12 of those things. We need to find out: 12 X ? = $18.56

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 12 A. Means to divide the cost, $7, by the number of gallons, 6. Unfortunately, it looks like you divided 6 by 7. OOPS! Wrong way. Please try again the other direction. Click HERE to return to THIS problem Cost per gallon means, that is, cost divided by gallons

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 12 B. It looks like you divided 7 by 6, which is correct. But when you do that, it doesnt come out evenly. You get a repeating decimal: … … does not round to 1.16 You were so close, and yet missed it. Try again. Click HERE to return to THIS problem Cost per gallon means, that is, cost divided by gallons

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 12 C. It looks like you divided 7 by 6, which is correct. But when you do that, it doesnt come out evenly. You get a repeating decimal: … And … does round to 1.17 (to the nearest cent) EXCELLENT WORK! Click HERE to go to the NEXT problem Click HERE to return to THIS problem Cost per gallon means, that is, cost divided by gallons

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 12 D. It looks like you divided 7 by 6, which is correct. But when you do that, it doesnt come out evenly. You get a repeating decimal: … … does not round to 1.20 (to the nearest cent) It looks like you rounded to the nearest dime (ten cents) You were so close, and yet missed it. Try again Click HERE to return to THIS problem Cost per gallon means, that is, cost divided by gallons

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 13 A. You need to get a common denominator of 12 for each of the fractions so that you can compare them more easily. SMALLEST LARGEST SUPER EFFORT! Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 13 B. You need to get a common denominator of 12 for each of the fractions so that you can compare them more easily. I think that you can put them in order now. Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 13 C. You need to get a common denominator of 12 for each of the fractions so that you can compare them more easily. I think that you can put them in order now. Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 13 D. You need to get a common denominator of 12 for each of the fractions so that you can compare them more easily. I think that you can put them in order now. Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 14 A. BE CAREFUL! She gets a paycheck every TWO weeks. You selected 9 weeks. Lets think about that. In 9 weeks she would have received only 4 paychecks. Each paycheck she saves $35. 4 X $35 = $140, far below the $320 she needs. Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 14 B. BE CAREFUL! She gets a paycheck every TWO weeks. You selected 10 weeks. Lets think about that. In 10 weeks she would have received only 5 paychecks. Each paycheck she saves $35. 5 X $35 = $175, far below the $320 she needs. Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 14 C. BE CAREFUL! She gets a paycheck every TWO weeks. You selected 18 weeks. Lets think about that. In 18 weeks she would have received 9 paychecks. Each paycheck she saves $35. 9 X $35 = $315, just a little below the $320 she needs. Close but not close enough. Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 14 D. BE CAREFUL! She gets a paycheck every TWO weeks. Nice work! In 20 weeks she would have received 10 paychecks. She would have saved 10 X $35 = $350, which is more than enough for the stereo. Good job! Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 15 A. To compare positive and negative numbers, it is a good idea to draw a number line. Smaller numbers are to the LEFT of larger numbers. This is probably the most common WRONG answer unfortunately. While it is true that 0.45 is smaller than 0.52, when the numbers are negative, then things are reversed. That is, – 0.45 > – 0.52 Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 15 B. To compare positive and negative numbers, it is a good idea to draw a number line. Smaller numbers are to the LEFT of larger numbers. You selected: – 0.52 > 0.45 But that means that you are saying that a NEGATIVE number is larger than a positive number! HOW CAN THAT BE? It cant. Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 15 C. To compare positive and negative numbers, it is a good idea to draw a number line. Smaller numbers are to the LEFT of larger numbers. OUTSTANDING!!! You selected: 0.45 > – 0.52 which says that a POSITIVE number is larger than a negative number. Sounds pretty good to me. Nice work! Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 15 D. To compare positive and negative numbers, it is a good idea to draw a number line. Smaller numbers are to the LEFT of larger numbers. You selected: 0.45 < – 0.52 Which says that a POSITIVE number is smaller than a negative number. HOW CAN THAT BE? It cant. Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 16 A. To compare fractions, you need a common denominator. In this case the common denominator is 100. Now it is your job to put these in order from the largest to the smallest. You ll get it. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 16 B. To compare fractions, you need a common denominator. In this case the common denominator is 100. TERRIFIC!!! You put these in order very well. Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 16 C. To compare fractions, you need a common denominator. In this case the common denominator is 100. Now it is your job to put these in order from the largest to the smallest. You ll get it. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 16 D. To compare fractions, you need a common denominator. In this case the common denominator is 100. Now it is your job to put these in order from the largest to the smallest. You ll get it. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 17 A. Recall that 15% means 15 out of 100 or 0.15 You selected $47.25 I have a pretty good idea of how you got that answer. I think that you multiplied 0.15 x $315 and got $47.25 Your multiplication was right. However, $47.25 is the DISCOUNT, not the cost after the discount was taken. Please try this one again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 17 B. Recall that 15% means 15 out of 100 or 0.15 GREAT JOB!!! You multiplied 0.15 by $315 and got $47.25 Then you subtracted that discount from the $315 to get $ Ill bet you are a thrifty shopper. Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 17 C. Recall that 15% means 15 out of 100 or 0.15 You chose $ I have a pretty good idea that you just subtracted 15 from 315 to get 300. You are supposed to subtract to find the answer. The only problem is that you cannot subtract the % from the amount. First find 15% of $315 by multiplying 0.15 by 315 Then subtract that answer from $315 Try it again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 17 D. Recall that 15% means 15 out of 100 or 0.15 You chose $ It looks like you just subtracted $1.50 from $ to get that. Unfortunately that is wrong. You need to multiply 0.15 by 315 to get the discount Then subtract that number from 315. Please try it again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 18 A. OUTSTANDING JOB!!! Substitute 5 for Andreas height, 12 for Andreas shadow, and 13 for Kellys shadow and you obtain: Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 18 B. Into the proportion above: Substitute 5 for Andreas height, 12 for Andreas shadow, h for Kellys height, and 13 for Kellys shadow. You should get it right this time. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 18 C. Into the proportion above: Substitute 5 for Andreas height, 12 for Andreas shadow, h for Kellys height, and 13 for Kellys shadow. You should get it right this time. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 18 D. Into the proportion above: Substitute 5 for Andreas height, 12 for Andreas shadow, h for Kellys height, and 13 for Kellys shadow. You should get it right this time. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 19 A. Remember, in a proportion, you can cross multiply. Because 2 x 6 = 3 x 4 (12 = 12) You selected 8 for ? Is 6 x 8 = 15 x 20 ? I dont think so. You can do this. Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 19 B. Remember, in a proportion, you can cross multiply. Because 2 x 6 = 3 x 4 (12 = 12) You selected 29 for the ? Is 6 x 29 = 15 X 20? I dont think so. Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 19 C. Remember, in a proportion, you can cross multiply. Because 2 x 6 = 3 x 4 (12 = 12) You selected 45 for ? But is 6 x 45 = 15 x 20? I dont think so. Please try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 19 D. Remember, in a proportion, you can cross multiply. Because 2 x 6 = 3 x 4 (12 = 12) GREAT! 6 X ? = 15 X 20 6 X ? = 300 ? = 300 divided by 6 ? = 50 NICE ONE. Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 20 A. 30% means 30 out of 100, or of means times Since 30% means 0.3 And of means times 30% of 30 means 0.3 x 30 So just multiply 0.3 x 30 Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 20 B. 30% means 30 out of 100, or of means times Since 30% means 0.3 And of means times 30% of 30 means 0.3 x 30 So just multiply 0.3 x 30 Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 20 C. 30% means 30 out of 100, or of means times TERRIFIC! Since 30% means 0.3 And of means times 30% of 30 means 0.3 x 30 So just multiply 0.3 x 30 to get 9. Nice one. Click HERE to go to the NEXT problem Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems 20 D. 30% means 30 out of 100, or of means times Since 30% means 0.3 And of means times 30% of 30 means 0.3 x 30 So just multiply 0.3 x 30 Try again. Click HERE to return to THIS problem

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems That concludes these 20 questions. I hope that you did well. Keep in mind that around 70% correct would be a passing score. That is, about 14 out of 20 or 28 out of 40. More importantly, I hope that you learned some good mathematics – enough so that you will pass the real 9 th grade math proficiency test the next time that you take it. GOOD LUCK!!!

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9 th Grade Math Proficiency Test Arithmetic Strand 20 problems STOP! THE END

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