EVOLVE REACH (HESI) A2 PRACTICE TEST - MODULE 4

7. Write the date 2017 in Roman numerals. A) MMXVII B) MDVII C) MMDII D) MMXD

A) MMXVII 2,000 = MM. 17 = XVII

50. How many ounces are there in 6 cups? A) 32 ounces B) 36 ounces C) 42 ounces D) 48 ounces

D) 48 ounces There are 8 ounces in a cup & 48 ounces in 6 cups.

20. In a scale drawing for a shed, 1 inch = 2 feet. If the shed floor is 3 inches by 4 inches on the drawing, what will its area be in reality? A) 12 square inches B) 12 square feet C) 36 square feet D) 48 square feet

D) 48 square feet Think in terms of ratios. If 1 inch is equivalent to 2 deet, 3 inches is equivalent to (3 x 2) or 6 feet, and 4 inches is equivalent to (4 x 2) or 8 feet. A shed floor 6 feet by 8 feet has an area of 48 ft²

5. Express 5.75 as a fraction in lowest terms. A) 5 1/25 B) 5 2/5 C) 5 1/2 D) 5 3/4

D) 5 3/4 5.75 = 5 75/100, or 5 3/4 in lowest terms.

39. If the outside temperature is currently 15 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale? A) 44°F B) 52°F C) 56.5°F D) 59°F

D) 59°F The formula is C x 9/5 + 32 = F. 15 x 9/5 + 32 = 59

11. In what numeric system does 111 name this amount: ⭐⭐⭐⭐⭐⭐⭐? A) Roman B) Arabic C) Decimal D) Binary

D) Binary There are 7 stars in our Arabic or decimal system of numbers. In the binary system, that would be 111, where 1 = 1 four, 1 = 1 two, and 1 = 1 one.

49. The usual ration of flour to water in bread dough is 5:3. If a recipe calls for 2 1/2 cups of flour, how much water will be required? (Enter numeric value only, and record in decimal form.)______

(1.5) The ratio is 5 to 3, so w (water) = 3/5 f (flour) 3/5 x 2 1/2 = 3/5 x 5/2 = 15/10 15/10 = 1 5/10, or 1 1/2, or in decimal form, 1.5

22. The number 24 is 16% of what number? (Enter numeric value only) ---------

(150) In other words, 0.16x = 24. 24/0.16 = 150

35. What date in Arabic numerals is Roman numeral MCMIX? (Enter numeric value only.) ___________________

(1909) Reading from left to right, M = 1000 CM = 900 and IX = 9 making the date 1909.

10. In the garden, Camila picked 4 carrots, 6 cucumbers, 3 peppers, and 7 tomatoes. What percent of the vegetables she picked were tomatoes? (Enter numeric value only. If rounding is necessary, round to the whole number.) ___________________________

(35) You are asked to find the percentage of tomatoes out of the whole number of vegetables, so first you must add to find the number of vegetables in all: 4 + 6 + 3 + 7 = 20 7/20 = 35/100, so the percentage of tomatoes is 35%

12. What is the least common denominator for 1/9 and 1/12? (Enter numeric value only.) ____________________________

(36) The least common denominator is the least number into which both denominators divide. Finding the common factors is the easiest way to find this number. Factors of 9 = 9, 18, 27, 36. Factors of 12 = 12, 24, 36, 48. The least factor that both numbers have in common is 36.

17. Nurse Torres ordered 40 boxes of exam gloves at $9.19 a box & 2 glove dispensers at $29.99 apiece. How much did she spend in all? (Enter numeric value only. I rounding is necessary, round to the dollar.) ____________

(428) $9. 19 x 40 = $367.60 $29.99 x 2 = $59.98 Adding the two is $367.60 + $59.98 = $427.8 Rounding that to the nearest dollar gives you $428

6. How many milliliters are there in 6 liters? (Enter numeric value only). ___________________________

(6,000) One liter = 1,000 milliliters, so 6 liters = 6,000 milliliters

47. 315 is 35 percent of what number? (Enter numeric value only.) _________

(900) In other words, 0.35x = 315. 315 ÷ 0.35 = 900

27. What is 40 percent of 95? A) 24 B) 26 C) 34 D) 38

D) 38 Multiply 95 by the decimal equivalent of 40%: 0.40 x 95 = 38

16. Franklin's weekly paycheck is $673.08. Of that, he puts 1/3 aside for rent and utilities and spends $85 on groceries. What is left from his weekly paycheck? A) $363.72 B) $309.36 C) $224.36 D) $139.36

A) $363.72 First, find 1/3 of $673.08 by dividing the total by 3--- $224.36 Subtract that from $673.08 to find what Franklin has left after paying for rent and utilities: $673.08 - $224.36 = $448.72 Now, subtract the amount he spends on groceries: $448.72 - $85 = $363.72

18. Of the 975 vehicles sold by Dukakis Auto last year, Samuel sold 117. What percentage of the vehicles did he sell? A) 12% B) 14% C) 18% D) 22%

A) 12% Solve by dividing Samuel's cars sold by the total & expressing the resulting decimal as a percent: 117 ÷ 975 = 0.12. or 12%

3. If a party planner assumes 2 bottles of sparkling water per 5 guests, how many bottles must she purchase for a party of 65? A) 26 B) 33 C) 49 D) 58

A) 26 Set up this as a proportion: 2/5 = x/65. You may cross-multiply to solve: 2 x 65 = 5x 130 = 5x x =130/5, or 26.

44. If a high-speed train averages about 140 mph, how long will it take to travel 455 miles? A) 3 hours 15 minutes B) 3 hours 20 minutes C) 3 hours 30 minutes D) 3 hours 45 minutes

A) 3 hours 15 minutes Think of this as a proportion: 1 hour/140 miles = x hours/455 miles. Cross-multiply to solve: 455 = 140x; x = 455/140, or 3.25 hours, which equals 3 hours 15 minutes.

34. If home blood pressure kits are on sale for $24.99 for 2, how much would it cost to buy 10 home blood pressure kits? A) $99.96 B) $124.95 C) $125.00 D) $249.90

B) $124.95 If 2 cost $24.99, 4 cost $24.99 x 2, 6 cost $24.99 x 3, and so on to 10, which cost $24.99 x 5. You can probably figure out the answer without doing the computation.

4. Kayla purchased 4 paperbacks and 3 hardcover books at the library sale. The paperbacks were 15 cents apiece, and the hardcovers were 75 cents apiece. If Kayla paid with a $5 bill, how much change was she owed? A) $2.00 B) $2.15 C) $2.25 D) $3.05

B) $2.15 First, determine how much Kayla spent for the paperbacks: $ .15 x 4 = $ .60 Then find out what she spent for the hardcovers: $ .75 x 3 = $2.25. Add those sums: $ .60 + $2.25 = $2.85 Finally, subtract that total from $5.00: $5.00 - $2.85 = $2.15

24. At the bake sale, Victor paid 35 cents apiece for 5 cookies and $7.50 apiece for 2 pies. He gave the clerk a $20 bill. How much change did he receive? A) $1.75 B) $3.25 C) $4.65 D) $10.75

B) $3.25 The cookies cost $ .35 x 5, or $1.75 The pies cost $7.50 x 2, or $15.00 Together, they cost $1.75 + $15.00, or $16.75 Subtract that from $20 to find the change: $20.00 - $16.75 = $3.25

9. Multiply: 0.14 x 0.15 = A) 0.0021 B) 0.021 C) 0.21 D) 2.1

B) 0.021 Multiplying two numbers with two digits to the right of the decimal point should result in a product with four digits to the right of the decimal point. However, in this case, the final digit, zero, is dropped off.

38. Multiply: 0.7 x 0.07 = A) 0.0049 B) 0.049 C) 0.49 D) 4.9

B) 0.049 Since you are multiplying a number with 2 digits after the decimal point by a number with one digit after the decimal point, the answer should have three digits after the decimal point.

8. Multiply: 0.3 x 0.65 = A) 1.95 B) 0.195 C) 0.0195 D) 0.00195

B) 0.195 Multiplying a number with two digits to the right of the decimal point by a number with one digit to the right of the decimal point should result in a product with three digits to the right of the decimal point.

46. Express 11/25 as a decimal. A) 2.75 B) 0.44 C) 0.4 D) 0.275

B) 0.44 There are two simple ways to do this: Divide 11 by 25, or recognize without computing that 11/25 = 44/100

14. At one summer camp, there is a ratio of 8 campers per counselor. Which of the following is a possible actual number of counselors and campers at the camp? A) 9:126 B) 12:96 C) 16:208 D) 24:216

B) 12:96 You must find the ratio that is equivalent to 1:8 You may thing of each ratio as a fraction & find the fraction that is equivalent to 1/8. It should not require much calculation to recognize that 12/96 = 1/8

2. Ninety percent of the class passed with a 75 or higher. If that percent equaled 27 students, how many students were in the whole class? A) 28 B) 30 C) 36 D) 40

B) 30 Express the percent as a decimal: 0.90. Think: 0.90x = 27. Solve: x = 27 ÷ 0.90. The answer is 30

32. How many pints are there in 4 gallons? A) 16 pints B) 32 pints C) 48 pints D) 60 pints

B) 32 pints There are 2 pints in a quart & 4 quarts in a gallon, so there are 8 pints in a gallon. In 4 gallons, there are 8 x 4 pints, or 32 pints.

30. What is 65 percent of 80? A) 50.5 B) 52 C) 50 D) 60.5

B) 52 Use the decimal equivalent: 0.65 x 80 = 52

28. Divide: 612 ÷ 8 = A) 74 r1 B) 76 r4 C) 76 r5 D) 86 r2

B) 76 r4 The calculation would look like this: 76r4 ————--- 8 ) 612 56 ---- 52 48 --- 4

48. Craig expects a 3 percent raise on his salary of $72,065. What will his salary be then? A) $72,068 B) $73,506.30 C) $74,226.95 D) $75,065

C) $74,226.95 Find 3% of $72,065 and add that to Craig's salary. 0.03 x $72.065 = $2,161.95 $72,065 + $2,161.95 = $74,226.95

37. Multiply: 0.05 x 0.22 = A) 1.1 B) 0.11 C) 0.011 D) 0.0011

C) 0.011 Ordinarily, multiplying 2 numbers with 2 digits right of the decimal point would result in a product with four digits to the right of the decimal point. Here, however, the last digit, zero, is dropped off.

23. Add and simplify: 4/15 + 5/6 = A) 9/15 B) 9/10 C) 1 1/10 D) 1 29/30

C) 1 1/ 10 First, find the lowest common denominator: 4/15 x 2/2 = 8/30 5/6 x 5/5 = 25/30 8/30 + 25/30 = 33/30, or 1 3/30. In lowest terms, that is 1 1/10.

1. Multiply & simplify: 1/3 x 3 1/9 = A) 31/27 B) 1 1/3 C) 1 1/27 D) 26/27

C) 1 1/27 Express 3 1/9 as an improper fraction: 28/9. Then multiply numerators adn denominators: 1/3 x 28/9 = 28/27. Finally, express this as a mixed number in lowest terms: 1 1/27

15. Divide and simplify: 2 1/2 ÷ 1 7/10 = A) 11/20 B) 1 1/5 C) 1 8/17 D) 2 2/3

C) 1 8/17 Begin by expressing the mixed numbers as improper fractions: 2 1/2 = 5/2, and 1 7/10 = 17/10. To divide by a fraction, multiply by its reciprocal. Therefore, 5/2 ÷ 17/10 = 5/2 x 10/17, or 50/34. Now reduce to lowest terms: 50/34 ÷ 2/2 = 25/17. Finally, express 25/17 as a mixed number: 1 8/17

29. If Wilbur spends 45 minutes every day practicing the violin, how much time does he spend practicing over a period of two weeks? A) 5 hours 15 minutes B) 8 hours 30 minutes C) 10 hours 30 minutes D) 10 hours 45 minutes

C) 10 hours 30 minutes You need to multiply 45 minutes by the number of days in two weeks, 14: 45 x 14 = 630. 630 minutes is equal to 10 hours 30 minutes.

13. During basic training, cadets eat at 5:30 pm What would that be in military time? A) 530 B) 1230 C) 1730 D) 2330

C) 1730 Military time starts with hours before noon. After noon, 1:00 pm is 1300, 2:00 pm is 1400, and so on.

36. Caleb is 5 years younger than his brother, who is 9 years older than their 15-year-old cousin. How old is Caleb? A) 24 B) 21 C) 19 D) 1

C) 19 You can do this algebraically or in your head. Algebraically, say that Caleb = C and his brother = B. C = B - 5, and B = 9 + 15, or 24. Since B = 24, C = 19.

43. Subtract and simplify: 7/8 - 1/12 = A) 1/2 B) 7/10 C) 19/24 D) 54/96

C) 19/24 Find the least common denominator and subtract: 21/24 - 2/24 = 19/24

31. Express 13/5 as a decimal. A) 0.026 B) 0.26 C) 2.6 D) 26

C) 2.6 Simply divide to find the decimal equivalent: 13 ÷ 5 = 2.6 It should be clear from looking at the answer choices that only choice C makes sense.

40. A hospital blueprint is drawn on a 1:250 scale. If a staff parking lot in the blueprint measures 10 cm by 16 cm, how large is the parking lot in real life? A) 5 m by 8 m B) 10 m by 25 m C) 25 m by 40 m D) 250 m by 400 m

C) 25 m by 40 m You can find the answer by setting up the easier of the two possible proportions: 1/250 = 10/x, so x = 2,500 cm. Since 2,500 cm = 25 m, you should be able to rule out all of the choices but choice C.

42. Divide: 7.2 ÷ 0.9 = A) 0.085 B) 0.8 C) 8 D) 80

C) 8 The math is basic; the only problem is where to put the decimal point. Common sense should tell you that 7.2 divided by almost-one will be a bit more than 7.2

21. Add: 2.35 + 4.38 + 1.44 = A) 6.73 B) 7.07 C) 8.17 D) 8.37

C) 8.17 You can eliminate choices A & B here just by estimating the answer.

19. How many centimeters are there in one yard? A) 30.48 centimeters B) 60.96 centimeters C) 91.44 centimeters D) 120 centimeters

C) 91.44 centimeters Since 1 inch equals 2.54 centimeters, 36 inches (1 yard) equals 2.54 x 36, or 91.44 centimeters.

45. Subtract and simplify: 8 1/4 - 6 5/6 = A) 2 1/6 B) 1 1/2 C) 1 7/24 D) 1 5/12

D) 1 5/12 Express each mixed number as an improper fraction: 33/4 - 41/6. Then find the lowest common denominator and restate those fractions: 99/12 - 82/12. Solve, & express as a mixed number in lowest terms: 17/12 = 1 5/12

26. How many grams are in 25 kilograms? A) 0.25 grams B) 2.5 grams C) 250 grams D) 2,500 grams

D) 2,500 grams Since 1 kilogram = 1,00 grams, 250 kilograms = 2,500 grams.

25. Convert this military time to regular time: 1410 hours A) 1:41 AM B) 1:41 PM C) 2:10 AM D) 2:10 PM

D) 2:10 PM Military times greater than 1200 are times after noon.

41. In 6 hours, one person on a brush hog can cut 10.5 acres of brush. If he works a 30-hour week at this job, how many weeks will it take to cut 168 acres of brush? A) 2 1/2 weeks B) 2 3/4 weeks C) 3 1/10 weeks D) 3 1/5 weeks

D) 3 1/5 weeks If he cuts 10.5 acres in 6 hours, he can cut five times that in 30 hours, for a total of 52.5 acres per week. Divide that into 168 acres to find how many weeks he would take: 3.2 weeks, or 3 1/5 weeks.

33. Express the ration 24:80 as a percentage. A) 19.5% B) 22% C) 25.5% D) 30%

D) 30% Percentages are essentially ratios where the second number is 100. Divide 24 by 80 to find a decimal equivalent: 24 ÷ 80 = 0.3, or 30%