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ACC. Arithmetic Practice Test #3 - Key

ACC. Arithmetic Practice Test #3 - Key

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ACC. Arithmetic Practice Test #3 - Key

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  1. ACCUPLACER® Arithmetic Practice Test #3 - Key ACCUPLACER® Practice Test Arithmetic #3 - Key © 2017 The College Board

  2. ACCUPLACER® Arithmetic Practice Test #3 - Key 1. B: Choice B is correct. To find the total number of vans, we divide 39 by 4, which gives a quotient of 9, with a remainder of 3. Since we cannot leave anyone on the team behind, we must have another van for the remaining 3 people. This gives 9 + 1 = 10 total vans. 2. C: Choice C is correct. To add decimals, vertically align the numbers so that the decimal points are lined up. You can pad the shorter decimals by adding zeros to the end, and then add up the numbers. 3.1415 + 6.2500 9.3915 3. C: Choice C is correct. To solve this problem we can multiply 325 by 0.24 or by 24/100: 325 x 24/100 = 7800/100 = 78/1 = 78. 4. B: Choice B is correct. In order to find out how many more cups Kathy needs for her recipe, we must subtract 1-3/8 from 2. When subtracting fractions we need a common denominator. The number 2 can be written as 16/8 and the number 1- 3/8 can be written as 11/8: 16/8 - 11/8 = 5/8. 5. D: Choice D is correct. This question tests the student's ability to estimate in order to arrive at the best possible answer. Round each number to the nearest hundred: 1573 ~ 1600; 1211 ~ 1200; 697 ~ 700. The revised equation becomes: 1600 + 1200 + 700 = 2100. 6. A: Choice A is correct. Since there are 6 videos that are 8.7 minutes long, we need to multiply 6 x 8.7 = 52.2 to get the total number of minutes. © 2017 The College Board

  3. ACCUPLACER® Arithmetic Practice Test #3 - Key 7. B: Choice B is correct. Sarah's grade can be found by calculating: 14 20 1400 20 TotalCorrect Total    100 x 100 x 70% Pr oblems 8. C: Choice C is correct. We know that 7/3 is equivalent to 2-1/3 and falls between 2 and 3 on the number line. 9. C: Choice C is correct. Substituting in the given vales for a, b, c, and d in the inequality a - d < b - c we get 1 - 15 < 3 - 8 = -14 < - 5, which is a true statement. 10. C: Choice C is correct. First write the fraction as a decimal: 625 000 The 0.625. problem asks to round 0.625 to the nearest hundredths place. We must look at the hundredths digit which is 2, and the digit to the right of it, which is 5. Since the thousandths is equal to 5, we increment the hundredths digit by 1. Therefore, 0.625 rounded up to the nearest hundredths place is 0.63. 11. A: Choice A is correct. Use long division to solve this problem. As seen below, 582 divided by 3 equals 194 with no remainder. 194 R0 3√582 -3 28 -27 12 -12 0 12. A: Choice A is correct. To answer this question correctly, we must remember the order of operations (PEMDAS). We must complete multiplication and division moving from left to right. So first, we evaluate 1/2 ÷ 36, which is equivalent to: 1/2 x 36 = 1/72. The next step is: 16 x 1/72 = 16/72. Finally, we must find the sum: 1/72 + 16/72 = 17/72. © 2017 The College Board

  4. ACCUPLACER® Arithmetic Practice Test #3 - Key 13. B: Choice B is correct. We start by setting up our equation as: x/100 x 70 = 28. In order to isolate x, we first multiply both sides of the equation by 100, giving, giving 70x = 2800. Next, we divide both sides of the equation by 70, giving x = 40. Therefore, 40% of 70 is 28. 14. B: Choice B is correct. First multiply 3.98 by 3 to figure out the total cost of the fudge: $3.98 x 3 = $11.94. Then subtract this amount from $20 to get the amount of change: $20.00 - $11.94 = $8.06. 15. D: Choice D is correct. We first start by finding how many times 6 goes into 28: 4 R4 4 2   6√28 46 43 -24 4 16. C: Choice C is correct. Use subtraction with regrouping to solve: 9.078 -1.455 7.623 7 5 95 11 11 95 5    17. B: Choice B is correct. Divide 811 1 9 by x 11 5 18. D: Choice D is correct. We know that half of 11 is 5.5, so 5/11 < 1/2. We know that half of 9 is 4.5, so 6/9 is greater than 1/2. Therefore, it is true that 5/11 < 6/9. © 2017 The College Board

  5. ACCUPLACER® Arithmetic Practice Test #3 - Key 19. D: Choice D is correct. To multiply decimals, line up the numbers on the right (do not align the decimal points). Then starting on the right, multiply each digit of the top number by each digit of the bottom number. Then add the products. Once you add the products, you must place the decimal point correctly. There are two decimal places in 3.17 and one decimal place in 2.8. Adding these decimal places together gives three. Starting at the right of our answer move 3 places to the left and put the decimal point there. 6340 8.876 x 2.8 2536 3.17 20. B: Choice B is correct.  3.65 4.75 0.5 8.40 1 2    8.40 2 16.8 x © 2017 The College Board

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