* HESI A2 Practice - Math (book)

c

A carpenter is cutting wood to make a new bookcase with a board that is 12 feet long. If the carpenter cuts off 3 pieces, each of which is 17 inches long, how many inches long is the remaining board? A. 36 B. 51 C. 93 D. 108

a

If 2/x + 5/3 = 2, what is the value of x? A. 6 B. 2 C. 4/5 D. -4/5

d

If 2m > 24 and 3m < 48, which of the following could NOT be a possible value for m? A. 13 B. 14 C. 15 D. 16

c

If 2n + 3 = 5, then 4n = ? A. 1 B. 2 C. 4 D. 8

c

If 5^n > 10,000 and n is an integer, what is the smallest possible value of n? A. 8 B. 7 C. 6 D. 5

c

If 75% of x is 150, what is the value of x? A. 150 B. 175 C. 200 D. 250

d

If a < b and b< c, which of the following must be true? A. b + c < 2a B. a + b < c C. a - b < b - c D. a + b < 2c

d

A certain phone call costs 75¢ for the first 3 minutes plus 15¢ for each additional minute. If the call lasted x minutes and x is an integer greater than 3, which of the following expresses the cost of the call, in dollars? A. 0.75(3) + 0.15x B. 0.75(3) + 0.15(x+3) C. 0.75 + 0.15(3-x) D. 0.75 + 0.15(x-3)

d

A certain room measures 18 feet by 24 feet. What is the square yardage of a wall-to-wall carpet that covers the floor of the room? A. 24 square yards B. 32 square yards C. 42 square yards D. 48 square yards

c

Which of the following is not a prime number? A. 2 B. 37 C. 51 D. 67

c

Which of the following must be equal to 30% of x? A. 3x/1,000 B. 3x/100 C. 3x/10 D. 3x

b

After a 5-hour flight from Newark, Harry arrives in Denver at 2:30 P.M. If the time in Newark is 2 hours later than the time in Denver, what was the time in Newark when Harry began the flight? A. 10:30 A.M. B. 11:30 A.M. C. 3:30 P.M. D. 5:30 P.M.

b

All of the following can be a product of a negative integer and a positive integer EXCEPT: A. -6 B. 1 C. -1 D. -2

b

Carla drove her truck 414 miles on 18 gallons of gasoline. How many miles did she drive per gallon? A. 18 B. 23 C. 74 D. 95

c

If a sweater sells for $48 after a 25% markdown, what was is original price? A. $56 B. $60 C. $64 D. $68

d

If c/d = 3 and d=1, then 3c+d = ? A. 4 B. 7 C. 9 D. 10

d

The cube of 9 is: A. 27 B. 81 C. 243 D. 729

d

The percent decrease from 12 to 9 is equal to the percent decrease from 40 to what number? A. 3 B. 10 C. 25 D. 30

a

**** Picture #7 **** If the table represents the luncheon prices at a certain cafeteria, what is the average (arithmetic mean) price for a meal at this cafeteria? A. $2.40 B. $2.50 C. $2.60 D. $2.70

d

**** Picture #7 **** If three people each ordered a different meal from the table, which of the following could NOT be the total cost of the meals, excluding tax? A. $7.00 B. $6.75 C. $6.25 D. $6.00

a

**** Picture #8 **** What is the average weight, in pounds, of the 5 people whose weights are listed in the following table? A. 153 B. 153 1/2 C. 154 D. 155

b

**** Picture #9 **** If the perimeter of the square is 36, what is the circumference of the circle? A. 6π B. 9π C. 12π D. 18π

d

0.123 x 10^4 = ? A. 12.3 B. 123 C. 1,234 D. 1,230

d

(1/5 + 1/3) ÷ 1/2 = A. 1/8 B. 1/4 C. 4/15 D. 16/15

d

(2 x 10^4)+(5 x 10^3) + (6 x 10^2) + (4 x 10^1) = ? A. 20,564 B. 25,064 C. 25,604 D. 25,640

d

(3d -7) - (5 - 2d) = ? A. d - 12 B. 5d -2 C. 5d +12 D. 5d -12

c

**** Picture #1 **** In the circle with center "O", for what value of "x" does the circle have a circumference of 20π? A. 5 B. 10 C. 15 D. 20

c

**** Picture #10 **** What is the area of the frame in the diagram if the inside picture has a length of 8 and a width of 4? A. 16 B. 24 C. 48 D. 56

c

**** Picture #2 **** In triangle "ABC", if AB = 4, then AC = ? A. 6 B. 7 C. 8 D. 9

a

**** Picture #20 **** In the figure, AB is twice the length of BC, BC = CD, and DE is three times the length of CD. If AE = 49 cm, what is the length, in cm, of BD?

d

**** Picture #21 **** In the diagram, if AD = BE = 6, AE = 8 and CD = 3(BC), then BC = ? A. 4 B. 3 C. 2 D. 1

d

**** Picture #3 **** If the perimeter of triangle "ABC" is 16, what is its area? A. 8 B. 9 C. 10 D. 12

a

**** Picture #4 **** On the number line shown above, the length of "YZ" is how much greater than the length of "XY"? A. 3 B. 4 C. 5 D. 6

a

**** Picture #5 **** According to the graph, the number of books borrowed during the month of January was what fraction of the total number of books borrowed during the first six months of the year? A. 1/8 B. 1/7 C. 1/6 D. 3/16

b

**** Picture #6 **** A square and a circle are drawn as shown above. The area of the square is 64 in^2. What is the area of the shaded region? A. 16π in^2 B. 8π in^2 C. 4π in^2 D. 32π in^2

a

2^3 (3-1)^2 + (-4)^2 = ? A. 48 B. 32 C. 136 D. -48

a

A Ferris wheel has 12 cars that can seat up to 3 people each. If every car on the Ferris wheel is full except for 2 that contain 2 people and one that is empty, how many people are currently riding on the Ferris wheel? A. 31 B. 32 C. 34 D. 35

c

A bicycle rider travels 8 miles due north, then 6 miles due east. How many miles is she from her starting point? A. 16 B. 12 C. 10 D. 14

b

A business is owned by 4 women and 1 man, each of whom owns an equal share. If one of the women sells 1/2 of her share to the man, and another woman keeps 1/4 of her share and sells the rest to the man, what fraction of the business will the man own? A. 1/3 B. 9/20 C. 11/20 D. 2/3

d

A dry cleaning store charges $3.50 to clean men's shirts, $4.00 to clean men's pants, and $5.00 to clean men's jackets. If Jose brings 10 items for cleaning and pays a total of $48, what is the average price he has paid per item? A. $3.50 B. $2.22 C. $5.00 D. $4.80

b

A machine caps 5 bottles every 2 seconds. At this rate, how many bottles will be capped in 1 minute? A. 75 B. 150 C. 225 D. 300

c

A person 4 feet tall casts a 9-foot shadow at the same time that a nearby tree casts a 21-foot shadow. What is the height of this tree? A. 7 B. 8 1/2 C. 9 1/3 D. 10

c

A stock decreases in value by 25%. By what percent must the stock price increase to reach its former value? A. 15% B. 20% C. 33 1/3% D. 40 %

b

A total of 9 temperature readings were taken, one reading every 4 hours, with the first reading taken at 12 P.M. What will be the time when the final reading is taken? A. 4 P.M. B. 8 P.M. C. 12 A.M. D. 4 A.M.

c

A worker earns $16 for the first 40 hours she works each week, and one and a half times this much for every hour over 40 hours. If she earned $700 for one week's work, how many hours of overtime did she work? A. 3.3 B. 3 C. 2.5 D. 4

b

At a certain school, if the ratio of teachers to students is 1 to 10, which of the following could be the total number of teachers and students? A. 100 B. 121 C. 144 D. 222

d

Bill has to type a paper that is p pages long, with each page containing w words. If Bill types an average of x words per minute, how many hours will it take him to finish the paper? A. 60wpx B. wx/60p C. wpx/60 D. wp/60x

b

Ed has $100 more than Robert. After Ed spends $20 on groceries, he now has 5 times as much money as Robert. How much money does Robert have? A. $16 B. $20 C. $24 D. $30

c

For all x, 3x^2 x 5x^3 = ? A. 8x^5 B. 8x^6 C. 15x^5 D. 15x^6

c

For what value of y is 4(y-1) = 2(y+2)? A. 0 B. 2 C. 4 D. 6

c

How many minutes are there in one week? A. 3,600 B. 7,200 C. 10,080 D. 86,400

c

I 3^n-7=81, then n=? A. 4 B. 9 C. 11 D. 18

a

If "abc" (doesn't equal) 0, then (a^2 b c) + (a b^2 c) + (a b c^2) / (abc) = ? A. a + b + c B. abc C. (a^3 b^3 c^3) D. a^2 + b^2 + c^2

c

If "x" is an odd integer and "y" is an even integer, which of the following expression MUST be odd? A. 2x + y B. 2(x + y) C. x^2 + y^2 D. xy + y

d

If (√n)/3 is an even integer, which of the following could be the value of n? A. 27 B. 48 C. 81 D. 144

c

If 100 + x = 100, then x =? A. -100 B. -10 C. 0 D. 10

d

If 2(a+m) = 5m - 3 + a, what is the value of a, in terms of m? A. 3m/2 B. 3 C. 4m +33 D. 3m - 3

c

If point R is (2,4) and point S is (7,7), what is the length of RS? A. 2 B. √7 C. √34 D. 9

d

If r=3 and s=1, the r^2-2s=? A. 2 B. 4 C. 6 D. 7

d

If s - t = 5 what is the value of 3s - 3t + 3? A. 11 B. 12 C. 15 D. 18

b

If the minute hand of a properly functioning clock moves 45°, how many minutes have passed? A. 6 B. 7.5 C. 12 D. 15

d

If the product of 3 and x is equal to 2 less than y, which of the following must be true? A. 3x - 2/y = 0 B. 3x - y - 2 = 0 C. 3x + y - 2 = 0 D. 3x - y + 2 = 0

d

If the sides of a square increase in length by 10%, the area of the square increases by: A. 10% B. 15% C. 20% D. 21%

a

If the sum of 3 different prime numbers is an even number, what is the smallest of the 3? A. 2 B. 3 C. 5 D. It cannot be determined from the information given.

b

If x = √3, y = 2, and z = 1/2, then x^2 - 5yz + y^2 = ? A. 1 B. 2 C. 4 D. 7

b

If x = √5, y = 1/3, and z = 3, then x^2 - 4yz + z^2 =? A. 30 B. 10 C. 2 D. 1

c

If x is an even integer and 8 < x < 17, what is the mean of all possible values of "x"? A. 10 B. 11 C. 13 D. 12

a

In 2000, the population of Town A was 9,400 and the population of Town B was 7,600. Since t, each year the population of Town A has decreased by 100 and the population of Town B has increased by 100. Assuming that in each case the rate continues, in what year will the two populations be equal? A. 2009 B. 2010 C. 2017 D. 2018

b

In triange ABC, the degree measures of the three interior angles are in the ratio of 1:2:3. What is the difference in the degree measures between the largest and the smallest angles? A. 30 B. 60 C. 90 D. 120

a???? shouldn't it be b???

Liza has 40 less than 3 times the number of books that Janice has. If "B" is equal to the number of books that Janice has, which of the following expressions shows the total number of books that Liza and Janice have together? A. 4B - 40 B. 3B - 40 C. 4B D. 4B + 40

a

Jim can run at a rate of 1 mile per 5 minutes and Rebecca can run at a rate of 1 mile per 8 minutes. If they both start at Point A at the same time and run in the same direction at their respective rates, how far ahead will Jim be from Rebecca in 40 minutes? A. 3 miles B. 5 Miles C. 8 miles D. 15 Miles

c

Joan can shovel a certain driveway in 50 minutes. If Mary can shovel the same driveway in 20 minutes, how long will it take them, to the nearest minute, to shovel the driveway if they work together? A. 12 B. 13 C. 14 D. 15

b

June's weekly salary is $70 less than Kelly's. Kelly's salary is $50 more than Eileen's. If Eileen earns $280 per week, how much does June earn per week? A. $160 B. $260 C. $280 D. $300

d

Marty has exactly 5 blue pens, 6 black pens, and 4 red pens in his knapsack. If he pulls out one pen at random from his knapsack, what is the probability that the pen is either red or black? A. 1 out of 5 B. 1 out of 3 C. 1 out of 2 D. 2 out of 3

b

Mrs. Bailer divides the amount of money she has between her 4 children. Mr. Bailer then adds $2 to the amount each one receives so that each child now has a total of $5.25. Which of the following equations shows this relationship? A. 4x + 2 = 5.25 B. x/4 + 2 = 5.25 C. 4x = 5.25 + 2 D. 4(x + 2) = 5.25

d

On a certain planet, if each year has 9 months and each month has 15 days, how many full years have passed after 700 days on this planet? A. 1 B. 2 C. 3 D. 5

a

Phil is making a 40-kilometer canoe trip. If he travels at 30 kilometers per hour for the first 10 kilometers, and then at 15 kilometers per hour the rest of the trip, how many minutes more will it take him than if he travels the entire trip at 20 kilometers per hour? A. 20 B. 24 C. 30 D. 40

a

Rachel's average score after 6 tests is 83. If Rachel earns a score of 97 on the 7th test, what is her new average? A. 85 B. 86 C. 87 D. 88

C

Renee's dress shop is suffering from slow business. Renee decides to mark down all her merchandise. The next day, she sells 33 winter coats. That day Renee old 30% of the winter coats she had in stock. How many winter coats were in stock before the sale? A. 990 B. 99 C. 110 D. 1,110

c

Ruth has finished 3 chapters of an 8-chapter novel in just one evening of reading. If she reads an additional 1/10 of the novel tomorrow night, what part of the novel will she have finished? A. 1/10 B. 1/2 C. 19/40 D. 36/80

a

Team A had 4 times as many losses as it had ties in a season. If Team A won none of its games, which could be the total number of games it played that season? A. 15 B. 18 C. 21 D. 24

d

The Tigers had 5 times as many losses as they had ties in a season. If the Tigers did not win any of their games, which could be the total number of games they played in the season? A. 16 B. 5 C. 10 D. 12

c

The average of 2 numbers is equal to twice the positive difference between the 2 numbers. If the larger number is 35, what is the smaller number? A. 9 B. 15 C. 21 D. 27

b

The average of 5 consecutive odd numbers is 11, then the largest number is: A. 17 B. 15 C. 13 D. 11

c

The price of a newspaper rises from 5¢ to 15¢. What is the percent increase in price? A. 75% B. 150% C. 200% D. 300%

a

The price of a stock decreased by 20 %. By what percent must the price increase to return to its original value? A. 25% B. 50% C. 20% D. 120%

d

The user's manual for a stereo set includes a scale diagram in which 2 scaled inches represent 8 actual inches. If the speakers of the stereo set measure 6 inches in the diagram, how tall are they in reality? A. 1 foot 6 inches B. 1 foot 8 inches C. 1 foot 10 inches D. 2 feet

d

There are 587 people traveling by bus for a field trip. If each bus seats 48 people and all of the buses but one are filled to capacity, how many people sit in the unfilled bus? A. 37 B. 36 C. 12 D. 11

d

Three lottery winners decide to split a cash prize in the ration 1:2:3. If the cash prize is $12,000, what is the greatest amount earned by one of the three winners? A. $2,000 B. $3,000 C. $4,000 D. $6,000

b

What is 25% of 25% of 72? A. 4 B. 4.5 C. 5 D. 12

a

What is the area of a circle with a circumference of 8? A. 16/π B. 4π C. 16 D. 16π

c

What is the complete factorization of 2x + 3x^2 + x^3? A. x(x-2)(x+3) B. x(x-1)(x+2) C. x(x+1)(x+2) D. x(x+2)(x+3)

c

What is the number of rectangular tiles, each 12 centimeters by 18 centimeters, neeed to completely cover 4 flat rectangular sufaces, each 60 centimeters by 180 centimeters? A. 50 B. 100 C. 200 D. 400

d

What is the radius of a circle whose circumference is 18π inches? A. 3 in B. 6 in C. 18 in D. 9 in

c

What is the sum of 5 consecutive integers if the middle one is 9? A. 50 B. 55 C. 45 D. 30

d

What is the value of x in the equation (1/2 + x = 6.5)? A. 3.5 B. 3.25 C. 5.5 D. 6

b

When "D" is divided by 15, the result is 6 with a remainder of 2. What is the remainder of "D" is divided by 6? A. 0 B. 2 C. 3 D. 4

b

When 7.6 is divided by 0.019, the quotient is: A. 4,000 B. 400 C. 40 D. 4

c

Which of the following is 53,298 rounded off to the nearest 100? A. 53,290 B. 52,000 C. 53,300 D. 53,000

d

Which of the following is an even multiple of both 2 and 6? A. 435 B. 247 C. 322 D. 426