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ACCUPLACER® Arithmetic Practice Test #1 KEY ACCUPLACER® Practice Test Arithmetic #1 Key © 2017 The College Board
ACCUPLACER® Arithmetic Practice Test #1 KEY 1. C: The decimal points are lined up, with zeros added as necessary. Then the numbers are added just like integers. 3.40 2.35 +4.00 9.75 2. A: This problem can be multiplied as 588 x 32, except at the end, the decimal point needs to be moved three places to the left. Performing the multiplication will give 18,81, and moving the decimal point over three places results in 18.816. 3. D: The fraction is converted so that the denominator is 100 by multiplying the numerator and denominator by 4, to get 3 12 100 . Dividing a number by 100 just 25 moves the decimal point two places to the left, with a result of 0.12. 4. A: Figure out which is the largest by looking at the first non-zero digits. Choice B's first non-zero digit is in the hundredths place. The other three all have non- zero digits in the tenths place, so it must be A, C, or D. Of these, A has the largest first non-zero digit. 5. C: 40N would be 4000% of n. It's possible to check that each of the other answers is actually 40%of N. 6. B: Instead of multiplying these out, the product can be estimated by using 18 x 10 = 180. The error here should be less than 1, since it is rounded to the nearest integer, and the numbers add to something less than 30. © 2017 The College Board
ACCUPLACER® Arithmetic Practice Test #1 KEY 7. C: 85% of a number means multiplying that number by 0.85. So, 0.85 x 20 = 85 100 20, 1 which can be simplified to 17 20 1 17. x x 20 8. A: To find the fraction of the bill that the first three people pay, the fractions need to be added, which means finding a common denominator. The common denominator will be 60. 1 5 1 4 1 3 12 60 15 60 20 60 47 60 47 60 60 60 47 60 13 60 The remain der of the bill is 1 9. B: 30% is 3/10. The number itself must be 10/3 of 6, 10/3 x 6 = 10 x 2 = 20. 10. A: Convert these numbers to improper fractions: 11 9 5 . Take 15 as a common 3 denominator. 11 9 5 55 15 27 15 28 15 1 3 115 3 11. A: Dividing by 98 can be approximated by dividing by 100, which would mean shifting the decimal point of the numerator the left two places. The result is 4.2 and rounds to 4. © 2017 The College Board
ACCUPLACER® Arithmetic Practice Test #1 KEY 12. B: 1 3 3 4 13 15 3 13*4 3*4 15*3 4*3 52 12 45 1 2 97 1 2 1 2 4 3 81 4 13. C: The average is calculated by adding all six numbers, then dividing by 6. The first five numbers have a sum of 25. If the total divided by 6 is equal to 6, then the total itself must be 36.he sixth number must be 36 - 25 = 11. 14. B: Multiplying by 10-3 means moving the decimal point three places to the left, putting in zeros as necessary. 15. B: 5 1 3 5 3 2 1 15 2 7 5 . x 2 16. A: The total fraction taken up by green and red shirts will be: 1 3 2 5 5 6 11 15 11 15 4 . The remaining fraction is: 1 . 15 15 15 1 17. C: If she had used 1/3 of the paint she has 2/3 remaining. 22gallons are the same as 5 2gallons. The calculation becomes: 2 5 2 5 3 2 gallons. 13 x 3 © 2017 The College Board