HESI A2 MODULE SECTION II SET 2 MATHEMATICS (2021 Revised Exam Practice Guide Contains 50 Questions all answered from Set 2)

HESI A2 MODULE SECTION II SET 2 MATHEMATICS (2021 Revised Exam Practice Guide Contains 50 Questions all answered from Set 2) 1. 8327 – 1278 = a. 7149 b. 7209 c. 6059 d. 7049 1. D 8327 – 1278 = 7049 2. 294 X 21 = 2. B a. 6017 b. 6174 c. 6728 d. 5679 294 X 21 = 6174 3. 1278 + 4920 = a. 6298 b. 6108 c. 6198 d. 6098 3. C 1278 + 4920 = 6198 4. 285 * 12 = 4. A a. 3420 b. 3402 c. 3024 d. 2322 285 * 12 = 3420 5. 4120 – 3216 = a. 903 b. 804 c. 904 d. 1904 5. C 4120 – 3216 = 904 6. 2417 + 1004 = a. 3401 b. 4321 c. 3402 d. 3421 6. D 2417 + 1004 = 3421 7. 1440 ÷ 12 = a. 122 b. 120 c. 110 d. 132 7. B 1440 ÷ 12 = 120 8. 2713 – 1308 = a. 1450 b. 1445 c. 1405 d. 1455 8. C 2713 – 1308 = 1405 9. It is known that x2+4x=5. Then x can be a.0 b. -5 c.1 d. Either (b) or (c) 9. D x2 +4x=5, x2+4x-5=0, x2+5x-x-5=0, factorize x(x+5)-1(x+5)=o, (x+5)(x-1)=0. x + 5 = 0 or x - 1 = 0, x = 0 - 5 or x = 0 + 1, x = -5 or x = 1, either b or c. 10. (a+b)2 = 4ab. What is necessarily correct? a. a > b b. a < b c. a = b d. None of the Above 10. C Open parenthesis: 2a + 2b = 4ab, divide both sides by 2 = a+b=2ab or a+b=ab + ab, therefore a=ab and b=ab, therefore a=b. 11. The sum of the digits of a 2-digit number is 12. If we switch the digits, the number we get will be greater than the initial one by 36. Find the initial number. a. 39 b. 48 c. 57 d. 75 11. B Let the XY represent the initial number, X + Y = 12, YX=XY+ 36, Only b = 48 satisfies both equations above from the given options. 12. Two friends traveled to a nearby city. In the second day they travelled 75 miles more than the first day, and in the third day, they travelled a third of the distance covered in the second day. How many miles did they cover in the first day, if the total travelled was 170 miles? a. 30 miles b. 35 miles c. 105 miles d. 135 miles 12. A 13. Kate’s father is 32 years older than Kate is. In 5 years, he will be five times older. How old is Kate? a.2 b.3 c.5 d.6 13. B Let the father’s age=Y, and Kate’s age=X, therefore Y=32+X, in 5yrs y=5x,substituting for Y will be 5x = 32+X, 5x – x = 32, 4X=32,X= 32/8, x = 8, Kate will be 8 in 5 yrs time, so Kate’s present age = 8-5=3. 14. If Lynn can type a page in p minutes, what portion of the page can she do in 5 minutes? a. 5/p b. p - 5 c. p + 5 d. p/5 14. D 15. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? a. 2 hours and 24 minutes b. 3 hours and 12 minutes c. 3 hours and 44 minutes d. 4 hours and 10 minutes 15. A Let X represent the house, Sally paints X in 4hrs or ¼ X per 1hr or 60 minutes, John paints X in 6 hours or at 1/6X per 1hr or 60mins. Working together, they will paint 1/4x + 1/6x in 1hr or 60minutes = 10/24x = 5/12x every 60 minutes, to paint x = 60 minutes x 12/5 = 144 minutes or 2 hrs and 24 minutes. 16. Employees of a discount appliance store receive an additional 20% off the lowest price on any item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450? a. $280.90 b. $287 c. $292.50 d. $306 16. D The cost of the dishwasher = $450, 15% discount = 15/100 x 450 = $67.5, The new price = 450 – 67.5 = $382.5, 20% discount on lowest price = 20/100 x 382.5 = $76.5, so the final price = $306. 17. The sale price of a car is $12,590, which is 20% off the original price. What is the original price? 17. D a. $14,310.40 b. $14,990.90 c. $15,108.00 d. $15,737.50 Original price = x, 80/100 = 12590/X, 80X = 1259000, X = 15737.50. 18. A goat eats 214 kg. of hay in 60 days, while a cow eats the same amount in 15 days. How long will it take them to eat this hay together? a. 37.5 b. 75 c. 12 d. 15 18. C Total hay = 214 kg, The goat eats at a rate of 214/60days = 3.6kg per day. The Cow eats at a rate of 214/15 = 14.3kg per day, Together they eat 3.6 + 14.3 = 17.9 per day. At a rate of 17.9kg per day, they will consume 214kg in 214/17.9 = 11.96 or 12 days approx. 19. Express 25% as a fraction. a. 1/4 b. 7/40 c. 6/25 d. 8/28 19. A 25% = 25/100 = 1/4 20. Express 125% as a decimal. a. .125 b. 12.5 c. 1.25 d. 125 20. C 125/100 = 1.25 21. Solve for x: 30 is 40% of x a. 60 b. 90 c. 85 d. 75 21. D 40/100 = 30/X = 40X = 30*100 = 3000/40 = 75