HESI A2 MODULE SECTION II SET I MATHEMATICS Questions and answers available

HESI A2 MODULE SECTION II SET I MATHEMATICS Questions and answers available (2021 Revised Exam Practice Guide Contains 50 Questions all answered from Set 1) 1. What is 1/3 of 3/4? a. 1/4 b. 1/3 c. 2/3 d. ¾ 1. A 1/3 X 3/4 = 3/12 = 1/4 2. What fraction of $75 is $1500? a. 1/14 b. 3/5 c. 7/10 d. 1/20 2. D 75/1500 = 15/300 = 3/60 = 1/20 3. 3.14 + 2.73 + 23.7 = a. 28.57 b. 30.57 c. 29.56 d. 29.57 3. D 3.14 + 2.73 = 5.87 and 5.87 + 23.7 = 29.57 4. A woman spent 15% of her income on an item and ends up with $120. What percentage of her income is left? a. 12% b. 85% c. 75% d. 95% 4. B Spent 15% - 100% - 15% = 85% 5. Express 0.27 + 0.33 as a fraction. a. 3/6 b. 4/7 c. 3/5 d. 2/7 5. C 0.27 + 0.33 = 0.60 and 0.60 = 60/100 = 3/5 6. What is (3.13 + 7.87) X 5? a. 65 b. 50 c. 45 d. 55 6. D 3.13 + 7.87 = 11 and 11 X 5 = 55 7. Reduce 2/4 X 3/4 to lowest terms. a. 6/12 b. 3/8 c. 6/16 d. 3/4 7. B 2/4 X 3/4 = 6/16, and lowest terms = 3/8 8. 2/3 – 2/5 = a. 4/10 b. 1/15 c. 3/7 d. 4/15 8. D 2/3-2/5 = 10-6 /15 = 4/15 9. 2/7 + 2/3 = a. 12/23 b. 5/10 c. 20/21 d. 6/21 9. C 2/7 + 2/3 = 6+14 /21 (21 is the common denominator) = 20/21 10. 2/3 of 60 + 1/5 of 75 = a. 45 b. 55 c. 15 d. 50 10. B 2/3 x 60 = 40 and 1.5 x 75 = 15, 40 + 15 = 55 11. 8 is what percent of 40? a. 10% b. 15% c. 20% d. 25% 11. C 8/40 = X/100 = 8 * 100 / 40X = 800/40 = X = 20 12. 9 is what percent of 36? a. 10% b. 15% c. 20% d. 25% 12. D 9/36 = X/100 = 9 * 100 / 36X = 900/36 = 25 13. Three tenths of 90 equals: a. 18 b. 45 c. 27 d. 36 13. C 3/10 * 90 = 3 * 90/10 = 27 14. .4% of 36 is a. 1.44 b. .144 c. 14.4 d. 144 14. B 4/100 * 36 = .4 * 36/100 = .144 15. The physician ordered 5 mg Coumadin; 10 mg/tablet is on hand. How many tablets will you give? a. .5 tablets b. 1 tablet c. .75 tablets d. 1.5 tablets 15. A 5 mg/10/mg X 1 tab/1 = .5 tablets 16. The physician ordered 20 mg Tylenol/kg of body weight; on hand is 80 mg/tablet. The child weighs 12 kg. How many tablets will you give? a. 1 tablet b. 3 tablets c. 2 tablets d. 4 tablets 16. B Step 1: Set up the formula to calculate the dose to be given in mg as per weight of the child:- Dose ordered X Weight in Kg = Dose to be given Step 2: 20 mg X 12 kg = 240 mg 240 mg/80 mg X 1 tab/1 = 240/80 = 3 tablets 17. The physician ordered 20 mg Tylenol/kg of body weight; on hand is 80 mg/tablet. The child weighs 44 lb. How many tablets will you give? a. 5 tablets b. 5.5 tablets c. 4.5 tablets d. 3 tablets 17. A Set up the formula to calculate the dose to be given in mg as per weight of the child:- Dose ordered X Weight in Kg = Dose to be given Step 2: 20 mg X 20 kg = 400 mg (Convert 44 lb to Kg, 1 lb = 0.4536 kg, hence 44 lb = 19.95 kg approx. 20 kg) 400 mg/80 mg X 1 tab/1 = 400/80 = 5 tablets 18. The physician ordered 3,000 units of heparin; 5,000 U/mL is on hand. How many milliliters will you give? a. 0.5 ml b. 0.6 ml c. 0.75 ml d. 0.8 ml 18. B 3000 units/5000 units X 1 ml/1 = 3000/5000 = 0.6 ml 19. The physician orders 60 mg Augmentin; 80 mg/mL is on hand. How many milliliters will you give? a. 1 ml b. 0.5 ml c. 0.75 ml d. 0.95 ml 19. C 60 mg/80 mg X 1 ml/1 = 60/80 = 0.75 ml 20. The physician ordered 16 mg Ibuprofen/kg of body weight; on hand is 80 mg/tablet. The child weighs 15 kg. How many tablets will you give? a. 3 tablets b. 2 tablets c. 1 tablet d. 2.5 tablets 20. A Dose ordered X Weight in Kg = Dose to be given 16 mg X 15 kg = 240 mg 240 mg/80 mg X 1 tab/1 = 240/80 = 3 tablets 21. The physician orders 1000 mg Benbadryl liquid; 1 g/tsp is on hand. How many teaspoons will you give? a. .75 tsp b. 1.5 tsp c. 1 tsp d. 1.25 tsp 21. C (Convert 1 g = 1000 mg) 1000 mg/1000 mg X 1 tsp/1 = 1000/1000 = tsp 22. The physician ordered 10 units of regular insulin and 200 U/mL is on hand. How many milliliters will you give? a. .45 ml b. .75 ml c. .25 ml d. .05 ml 22. D 10 units/200 units X 1 ml/1 = 10/200 = 0.05 ml 23. If y = 4 and x = 3, solve yx3 a. -108 b. 108 c. 27 d. 4 23. B (4)(3)3 = (4)(27) = 108 24. Convert 0.007 kilograms to grams a. 7 grams b. 70 grams c. 0.07 grams d. 0.70 grams 24. A 1000g = 1kg., 0.007 = 1000 x 0.007 = 7g. 25. Convert 16 quarts to gallons a. 1 gallons b. 8 gallons c. 4 gallons d. 4.5 gallons 25. C 4 quarts = 1 gallon, 16 quarts = 16/4 = 4 gallons 26. Convert 2 teaspoons to milliliters. a. 4.3 milliliters b. 9 milliliters c. 9.86 milliliters d. 4 milliliters 26. C 1 teaspoon = 4.93 milliliters (U.S.), 2 tp = 4.93 x 2 = 9.86 ml. 27. Convert 200 meters to kilometers a. 50 kilometers b. 20 kilometers c. 12 kilometers d. 0.2 kilometers 27. D 1,000 meters = 1 kilometer, 200 m = 200/1,000 = 0.2 km. 28. Convert 72 inches to feet a. 12 feet b. 6 feet c. 4 feet d. 17 feet 28. B 12 inches = 1 ft., 72 inches = 72/12 = 6 feet 29. Convert 3 yards to feet a. 18 feet b. 12 feet c. 9 feet d. 27 feet 29. C 1 yard = 3 feet, 3 yards = 3 feet x 3 = 9 feet 30. Convert 45 kg. to pounds. a. 10 pounds b. 100 pounds c. 1,000 pounds d. 110 pounds 30. B 0.45 kg = 1 pound, 1 kg. = 1/0.45 and 45 kg = 1/0.45 x 45 = 100 pounds 31. Convert 0.63 grams to mg. a. 630 g. b. 63 mg. c. 630 mg. d. 603 mg. 31. C 1 g = 1,000 mg. 0.63 g = 0.63 x 1,000 = 630 mg. 32. 5x + 3 = 7x -1. Find x a. 1/3 b. ½ c.1 d.2 32. D To solve for x, 5x – 7x + 3 = -1 5x – 7x = -1 -3 -2x = -4 x = -4/ -2 x = 2 33. 5x+2(x+7) = 14x – 7. Find x a.1 b.2 c.3 d.4 33. C To solve for x, first simplify the equation 5x + 2x + 14 = 14x – 7 7x + 14 = 4x -7 7x – 14x + 14 = -7 7x – 14x = -7 – 14 -7x = -21 x = -21/-7 x=3 34. 12t -10 = 14t + 2. Find t a. -6 b. -4 c.4 d.6 34. A 5z + 5 = 3z +6 + 11 5z -3z + 5 =6 + 11 5z – 3z = 6 + 11 -5 2z = 17 – 5 2z = 12 z= 12/2 z= 6 35. 5(z+1) = 3(z+2) + 11. Z=? a.2 b.4 c.6 d. 12 35. C 5z + 5 = 3z +6 + 11 5z -3z + 5 =6 + 11 5z – 3z = 6 + 11 -5 2z = 17 – 5 2z = 12 z= 12/2 z= 6 36. The price of a book went up from $20 to $25. What percent did the price increase? a. 5% b. 10% c. 20% d. 25% 36. D Price increased by $5 ($25-$20). The percent increase is 5/20 x 100 = 5 x 5=25% 37. The price of a book decreased from $25 to $20. What percent did the price decrease? a. 5% b. 10% c. 20% d. 25% 37. C Price decreased by $5 ($25-$20). The percent increase = 5/25 x 100 = 5 x 4 =20% 38. After taking several practice tests, Brian improved the results of his GRE test by 30%. Given that the first time he took the test Brian answered 150 questions correctly, how many questions did he answer correctly on the second test? a. 105 b. 120 c. 180 d. 195 38. D 30/100 x 150 = 3 x 15 = 45 (increase in number of correct answers). So the number of correct answers in second test = 150 + 45 = 195 39. In local baseball team, 4 players (or 12.5% of the team) have long hair and the rest have short hair. How many short-haired players are there on the team? a. 24 b. 28 c. 32 d. 50 39. B Let total number of players= X Let the number of players with long hair=Y and the number of players with short hair=Z Then X = 4+Z Y= 12% of X Z= X - 4 12.5% of X = 4 Converting from decimal to fraction gives 12.5%=125/10 x 1/100=125/1000, therefore 12.5% of =125/1000X=4 Solve for X by multiplying both sides by 1000/125, X=4 x 1000/125=32 Z = x – 4 Z = 32 – 4 z or number of short haired players = 28 40. In the time required to serve 43 customers, a server breaks 2 glasses and slips 5 times. The next day, the same server breaks 10 glasses. How many customers did she serve? a. 25 b. 43 c. 86 d. 215 40. D 2 glasses are broken for 43 customers so 1 glass breaks for every 43/2 customers served, therefore 10 glasses implies 43/2 x 10=215 41. A square lawn has an area of 62,500 square meters. What will is the cost of building fence around it at a rate of $5.5 per meter? a. $4000 b. $4500 c. $5000 d. $5500 41. D As the lawn is square, the length of one side will be = √62500 = 250 meters. Therefore, the perimeters will be: 250 × 4 = 1000 meters The total cost will be 1000 × 5.5 = $5500 42. Mr. Brown bought 5 cheese burgers, 3 drinks, and 4 fries for his family, and a cookie pack for his dog. If the price of all single items is the same at $1.30 and a 3.5% tax is added, what is the total cost of dinner for Mr. Brown? a. $16 b. $16.9 c. $17 d. $17.5 42. D The price of all the single items is same and there are 13 total items. So the total cost will be 13 × 1.3 = $16.9. After 3.5 percent tax this amount will become 16.9 × 1.035 = $17.5. 43. The length of a rectangle is twice of its width and its area is equal to the area of a square with 12 cm. sides. What will be the perimeter of the rectangle to the nearest whole number? a. 36 cm b. 46 cm c. 51 cm d. 56 cm 43. C Area of the square = 12 × 12 = 144 cm2 Let x be the width, then 2x be the length of rectangle, so its area will be 2x2 and perimeter will be 2(2x+x)=6x According to the condition 2x2 = 144 X = 8.48 cm The perimeter will be Perimeter=6×8.48 =50.88 =51 cm. 44. There are 15 yellow and 35 orange balls in a basket. How many more yellow balls must be added to make the yellow balls 65%? a. 35 b. 50 c. 65 d. 70 44. B There are 50 balls in the basket now. Let x be the number of yellow balls to be added to make 65%. So the equation becomes X + 15 /X + 50 = 65/100 X = 50 45. A farmer wants to plant 65,536 trees in such a way that number of rows must be equal to the number of plants in a row. How many trees should he plant in a row? a. 1684 b. 1268 c. 668 d. 256 45. D Let x be number of rows, and number of trees in a row. So equation becomes X2 = 65536 X = 256 46. A distributor purchased 550 kilograms of potatoes for $165. He distributed these at a rate of $6.4 per 20 kilograms to 15 shops, $3.4 per 10 kilograms to 12 shops and the remainder at $1.8. If his distribution cost is $10, what will be his profit? a. $10.4 b. $24.60 c. $14.9 d. $23.4 46. B First calculate the number of stores to distribute 5 kg portions: 550 - (20 x 15) - (10 x 12) = 130. Then 130/5 = 26 shops. His distribution is then: 15 x 6.4 = $96, 12 x 3.4 = $40.8, 26 x 1.8 × 26 = $46.8, Total = $183.6. Then subtract the distribution costs: Total number of stores = 15 + 12 + 26 = 53, 53 x 3 = $159 distribution costs. Then calculate profit: $183.6 - 159 = $24.60 47. A farmer wants to plant trees around the outside boundaries of his rectangular field of dimensions 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How many trees can he plant? a. 572 b. 568 c. 286 d. 282 47. D Each tree will require a 10-meter diametric space around its stem. So 65 trees can be planted along 650-meter side. Similarly, 65 along the other side. However, along the 780 meter side, the first tree will be after 10 meters at both edges, so 76 trees can be planted long that side. Total number of trees then will be 65×2+76×2=282 48. A farmer wants to plant trees at the outside boundaries of his rectangular field of dimensions 650 meters × 780 meters. Each tree requires 5 meter of free space all around it from the stem. How much free area will be left? a. 478,800 m2 b. 492,800 m2 c. 507,625 m2 d. 518,256 m2 48. A As one tree requires 10-meter diametric space, or, a 10-meter space on all four sides will be left. Therefore, the dimensions left are 630×760=478,800 m2. 49. How much pay does Mr. Johnson receive if he gives half of his pay to his family, $250 to his landlord, and has exactly 3/7 of his pay left over? a. $3600 b. $3500 c. $2800 d. $1750 49. B X/2 – 250 = 3X/7 X = $3500 50. A boy has 4 red, 5 green and 2 yellow balls. He chooses two balls randomly. What is the probability that one is red and other is green? a. 2/11 b. 19/22 c. 20/121 d. 9/11 50. A The probability that the 1st ball drawn is red = 4/11 The probability that the 2nd ball drawn is green = 5/10 The combined probability will then be 4/11 X 5/10 = 20/110 = 2/11